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Construction of Even-Variable 2-Output Almost Optimal Five-Valued Spectra Boolean Functions
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作者 SONG Chao-Fan JI Yan-Han SUN Yu-Juan 《密码学报(中英文)》 北大核心 2025年第3期714-728,共15页
Five-valued Boolean functions play an important role in the design of symmetric cryptography.While the design and properties of single-output almost optimal five-valued spectra Boolean functions have been extensively ... Five-valued Boolean functions play an important role in the design of symmetric cryptography.While the design and properties of single-output almost optimal five-valued spectra Boolean functions have been extensively studied over the past few decades,there has been limited research on the construction of almost optimal five-valued spectra vectorial Boolean functions.In this paper,we present a construction method for even-variable 2-output almost optimal five-valued spectra balanced Boolean functions,whose Walsh spectra values belong to the set{0,±2^(n/2),±2^(n/2+1)},at the same time,we discuss the existence of sufficient conditions in the construction.Additionally,this paper presents a novel construction method for balanced single-output Boolean functions with even variables featuring a special five-valued spectral structure,whose Walsh spectra values are constrained to the set{0,±2^(n/2),±3·2^(n/2)}.These functions provide new canonical examples for the study of Boolean function spectral theory. 展开更多
关键词 Boolean function Walsh transform semi-bent function five-valued function totally disjoint spectra functions
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A diagnosis method based on graph neural networks embedded with multirelationships of intrinsic mode functions for multiple mechanical faults
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作者 Bin Wang Manyi Wang +3 位作者 Yadong Xu Liangkuan Wang Shiyu Chen Xuanshi Chen 《Defence Technology(防务技术)》 2025年第8期364-373,共10页
Fault diagnosis occupies a pivotal position within the domain of machine and equipment management.Existing methods,however,often exhibit limitations in their scope of application,typically focusing on specific types o... Fault diagnosis occupies a pivotal position within the domain of machine and equipment management.Existing methods,however,often exhibit limitations in their scope of application,typically focusing on specific types of signals or faults in individual mechanical components while being constrained by data types and inherent characteristics.To address the limitations of existing methods,we propose a fault diagnosis method based on graph neural networks(GNNs)embedded with multirelationships of intrinsic mode functions(MIMF).The approach introduces a novel graph topological structure constructed from the features of intrinsic mode functions(IMFs)of monitored signals and their multirelationships.Additionally,a graph-level based fault diagnosis network model is designed to enhance feature learning capabilities for graph samples and enable flexible application across diverse signal sources and devices.Experimental validation with datasets including independent vibration signals for gear fault detection,mixed vibration signals for concurrent gear and bearing faults,and pressure signals for hydraulic cylinder leakage characterization demonstrates the model's adaptability and superior diagnostic accuracy across various types of signals and mechanical systems. 展开更多
关键词 Fault diagnosis Graph neural networks Graph topological structure Intrinsic mode functions Feature learning
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Generalized multiple-mode prolate spheroidal wave functions multi-carrier waveform with index modulation
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作者 XU Zhichao LU Faping +5 位作者 ZHANG Lifan YANG Dongkai LIU Chuanhui KANG Jiafang AN Qi ZHANG Zhilin 《Journal of Systems Engineering and Electronics》 2025年第2期311-322,共12页
A generalized multiple-mode prolate spherical wave functions (PSWFs) multi-carrier with index modulation approach is proposed with the purpose of improving the spectral efficiency of PSWFs multi-carrier systems. The p... A generalized multiple-mode prolate spherical wave functions (PSWFs) multi-carrier with index modulation approach is proposed with the purpose of improving the spectral efficiency of PSWFs multi-carrier systems. The proposed method,based on the optimized multi-index modulation, does not limit the number of signals in the first and second constellations and abandons the concept of limiting the number of signals in different constellations. It successfully increases the spectrum efficiency of the system while expanding the number of modulation symbol combinations and the index dimension of PSWFs signals. The proposed method outperforms the PSWFs multi-carrier index modulation method based on optimized multiple indexes in terms of spectrum efficiency, but at the expense of system computational complexity and bit error performance. For example, with n=10 subcarriers and a bit error rate of 1×10^(-5),spectral efficiency can be raised by roughly 12.4%. 展开更多
关键词 prolate spherical wave function(PSWF) generalized multiple-mode index modulation spectral efficiency.
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Proportional integral derivative controller design using Legendre orthogonal functions
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作者 Reza Moradi Mohammad Tabatabaei 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第10期2616-2629,共14页
The Legendre orthogonal functions are employed to design the family of PID controllers for a variety of plants. In the proposed method, the PID controller and the plant model are represented with their corresponding L... The Legendre orthogonal functions are employed to design the family of PID controllers for a variety of plants. In the proposed method, the PID controller and the plant model are represented with their corresponding Legendre series. Matching the first three terms of the Legendre series of the loop gain with the desired one gives the PID controller parameters. The closed loop system stability conditions in terms of the Legendre basis function pole(λ) for a wide range of systems including the first order, second order, double integrator, first order plus dead time, and first order unstable plants are obtained. For first order and double integrator plants, the closed loop system stability is preserved for all values of λ and for the other plants, an appropriate range in terms of λ is obtained. The optimum value of λ to attain a minimum integral square error performance index in the presence of the control signal constraints is achieved. The numerical simulations demonstrate the benefits of the Legendre based PID controller. 展开更多
关键词 PID controllers orthogonal functions legendre functions moment matching PI controller PD controller
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A comparison of piecewise cubic Hermite interpolating polynomials,cubic splines and piecewise linear functions for the approximation of projectile aerodynamics 被引量:4
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作者 C.A.Rabbath D.Corriveau 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2019年第5期741-757,共17页
Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and repr... Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and representative numerical model of projectile flight requires a relatively good approximation of the aerodynamics.The aerodynamic coefficients of the projectile model should be described as a series of piecewise polynomial functions of the Mach number that ideally meet the following conditions:they are continuous,differentiable at least once,and have a relatively low degree.The paper provides the steps needed to generate such piecewise polynomial functions using readily available tools,and then compares Piecewise Cubic Hermite Interpolating Polynomial(PCHIP),cubic splines,and piecewise linear functions,and their variant,as potential curve fitting methods to approximate the aerodynamics of a generic small arms projectile.A key contribution of the paper is the application of PCHIP to the approximation of projectile aerodynamics,and its evaluation against a set of criteria.Finally,the paper provides a baseline assessment of the impact of the polynomial functions on flight trajectory predictions obtained with 6-degree-of-freedom simulations of a generic projectile. 展开更多
关键词 Aerodynamic coefficients PIECEWISE POLYNOMIAL functions CUBIC splines Curve fitting PIECEWISE linear functions PIECEWISE CUBIC HERMITE interpolating POLYNOMIAL PROJECTILE modelling and simulation Fire control inputs Precision Ballistic computer software
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Construction of Control Lyapunov Functions for a Class of Nonlinear Systems 被引量:5
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作者 CAI Xiu-Shan HAN Zheng-Zhi WANG Xiao-Dong 《自动化学报》 EI CSCD 北大核心 2006年第5期796-799,共4页
The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematica... The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established. 展开更多
关键词 Nonlinear systems control Lyapunov functions semiglobal stabilization zero dynamics.
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Fukui Functions for the Temporary Anion Resonance States of Be^-, Mg^-, and Ca^- 被引量:1
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作者 MORRISON Robert C. 《物理化学学报》 SCIE CAS CSCD 北大核心 2018年第3期263-269,共7页
In this work,the Fukui functions of the two ~2P resonance states of Be,a ~2P resonance state of Mg~–,and a ~2D resonance state of Ca~– have been determined.The trajectories of these resonance states,in conjunction w... In this work,the Fukui functions of the two ~2P resonance states of Be,a ~2P resonance state of Mg~–,and a ~2D resonance state of Ca~– have been determined.The trajectories of these resonance states,in conjunction with the complex rotation of the Hamiltonian,were used to determine their wave functions.The electron densities,Fukui functions,and values of the hyper-radius<r^2>were computed from these wave functions.The Fukui functions have negative regions in the valence shell in addition to the inner shell regions,indicating screening effects of the outer temporary electron.Selected configuration interactions with up to quadruple excitations were used along the trajectories and for computing the final wave function.Based on this data,the densities,Fukui functions,and<r^2>were calculated. 展开更多
关键词 Fukui functions Density functional theory Temporary anion states Resonance states Complex rotation
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Universal construction of control Lyapunov functions for a class of nonlinear systems 被引量:1
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作者 Cai Xiushan Wang Xiaodong Zhang Haoran 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第3期598-602,共5页
A method is developed by which control Lyapunov functions of a class of nonlinear systems can be constructed systematically. Based on the control Lyapunov function, a feedback control is obtained to stabilize the clos... A method is developed by which control Lyapunov functions of a class of nonlinear systems can be constructed systematically. Based on the control Lyapunov function, a feedback control is obtained to stabilize the closed-loop system. In addition, this method is applied to stabilize the Benchmark system. A simulation shows the effectiveness of the method. 展开更多
关键词 control Lyapunov functions nonlinear systems stabilization.
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Stabilization of discrete nonlinear systems based on control Lyapunov functions 被引量:1
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作者 Cai Xiushan Wang Xiaodong Lü Ganyun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第1期131-133,共3页
The stabilization of discrete nonlinear systems is studied. Based on control Lyapunov functions, a sufficient and necessary condition for a quadratic function to be a control Lyapunov function is given. From this cond... The stabilization of discrete nonlinear systems is studied. Based on control Lyapunov functions, a sufficient and necessary condition for a quadratic function to be a control Lyapunov function is given. From this condition, a continuous state feedback law is constructed explicitly. It can globally asymptotically stabilize the equilibrium of the closed-loop system. A simulation example shows the effectiveness of the proposed method. 展开更多
关键词 control Lyapunov functions discrete systems STABILIZATION
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Tmod1 Affects the Immune Functions and Biophysical Properties of Dendritic Cells Through TLR4 Signaling Pathway and Cytoskeleton Remodeling
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作者 Xianmei Liu Xue Xia +2 位作者 LAmy Sung Weijuan Yao Zhu Zeng 《医用生物力学》 EI CAS CSCD 北大核心 2019年第A01期152-153,共2页
Background Dendritic cells(DCs)are the most important antigen-presenting cells due to their professional and extremely efficient antigen-presenting function.The dynamics of cytoskeleton plays crucial regulated roles o... Background Dendritic cells(DCs)are the most important antigen-presenting cells due to their professional and extremely efficient antigen-presenting function.The dynamics of cytoskeleton plays crucial regulated roles on DCs’immune functions and biophysical properties.Several evidences show that tumor-derived suppressive cytokines deteriorate DCs’immune functions through remodeling their F-actin cytoskeleton.But the underlying mechanism is still elusive.Tropomodulin1(Tmod1),a cytoskeleton-binding protein,regulates and stabilizes actin filaments lengths and cytoskeleton architecture,which involves in the regulations of the morphology,formation of neural dendrites and biophysical properties of cells.Our previous studies found that mature DCs(mDCs)had a higher expression of Tmod1 than immature DCs(imDCs). Therefore,it’s hypothesized that Tmod1 maybe involve in the modification of DCs’functions.Objective The aim of the study is to investigate the effects of Tmodl on the immune functions and biophysical properties of DCs and the underlying mechanisms in order to further understand the biological behaviors of DCs.Methods Bone marrow-derived cells were harvested from wild type(C57BL/6 J)mice and Tmod1 knockout mice(Tmod1 overexpressing transgenic(TOT)/Tmod1-/-)and differentiated to immature dendritic cells(imDCs)by rmGM-CSF and rmIL-4.imDCs were then matured by lipopolysaccharides(LPS)treatment.The expressions of the surface markers in DCs,including CD80,CD86,CD40,MHC-Ⅱand CCR7,were detected by flow cytometry,Western blot and qRT-PCR.The inflammation cytokines such as IL-6,IFN-γ,IFN-βand IL-10 were also detected by flow cytometry.The immune functions and the biophysical properties of DCs were compared between the wild type and Tmod1 knockout mice.The F-actin content and dendritic pseudopodia of these two kinds of DCs were detected by flow cytometry and laser scanning confocal microscope respectively.Finally,we detected the MyD88 dependent and independent signaling pathway to discover the molecular mechanisms.Results We found that Tmod1-deficient mDCs showed deficient antigen-presenting ability and they failed to express enough MHC-Ⅱ,co-stimulated molecules(CD80/86,CD40)and CCR7 on their cell surface.The secretions of the inflammatory cytokines IL-6 and IFN-γwere decreased while the anti-inflammatory cytokines IFN-βand IL-10 were increased in the supernatant of Tmod1-deficient mDCs.As compared to DCs of wild type mice,the migration ability of DCs from Tmod1 knockout mice were dramatically damaged including their free migration and CCL19 mediated chemotaxis migration.However,we found that Tmod1 knockout had no effects on the imDCs’endocytosis ability.Furthermore,Tmod1 knockout DCs showed higher osmotic fragility,lower Young’s modulus,less F-actin content and shorter dendritic pseudopodia.Under LPS stimulation,the phosphorylation level of p65 and p38 were significantly downregulated in Tmod1 knockout mice while the expression of p-IRF3 was upregulated.Conclusions These results indicated that Tmodl knockout leads to deficient antigen-presenting ability and impaired migration of DCs as well as their biophysical properties.The underlying mechanisms are due to the inhibitions of the TLR4-mediated NF-κB and p38 MAPK singling pathway and the activation of the IRF3 signaling pathway,as well as the disturbed reorganization of the F-actin cytoskeleton.Our results provide a new insight on the functions of Tmod1 which can affect the DCs’immune functions and biophysical properties through regulating the TLR4-mediated singling pathways and cytoskeleton remodeling. 展开更多
关键词 Tmod1 DENDRITIC cells immune functions BIOPHYSICAL properties CYTOSKELETON
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Unbiased parameter estimation of continuous-time system based on modulating functions with input and output white noises
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作者 贺尚红 李旭宇 《Journal of Central South University》 SCIE EI CAS 2011年第3期773-781,共9页
An efficient unbiased estimation method is proposed for the direct identification of linear continuous-time system with noisy input and output measurements.Using the Gaussian modulating filters,by numerical integratio... An efficient unbiased estimation method is proposed for the direct identification of linear continuous-time system with noisy input and output measurements.Using the Gaussian modulating filters,by numerical integration,an equivalent discrete identification model which is parameterized with continuous-time model parameters is developed,and the parameters can be estimated by the least-squares (LS) algorithm.Even with white noises in input and output measurement data,the LS estimate is biased,and the bias is determined by the variances of noises.According to the asymptotic analysis,the relationship between bias and noise variances is derived.One equation relating to the measurement noise variances is derived through the analysis of the LS errors.Increasing the degree of denominator of the system transfer function by one,an extended model is constructed.By comparing the true value and LS estimates of the parameters between original and extended model,another equation with input and output noise variances is formulated.So,the noise variances are resolved by the set of equations,the LS bias is eliminated and the unbiased estimates of system parameters are obtained.A simulation example by comparing the standard LS with bias eliminating LS algorithm indicates that the proposed algorithm is an efficient method with noisy input and output measurements. 展开更多
关键词 continuous-time system unbiased parameter modulating functions noise
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Design of Tracking Controller for Coordinated Boiler-turbine Control System Based on Fuzzy Lyapunov Functions
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作者 LIU Shanjian SHEN Jiong +2 位作者 LIU Xichui LI Yiguo WU Jie 《中国电机工程学报》 EI CSCD 北大核心 2013年第11期I0014-I0014,共1页
The thermal power boiler-turbine system is a complex system with high nonlinearity,time-delay and strong coupling.It is difi cult to obtain an excellent dynamic response by means of traditional PI/PID control when the... The thermal power boiler-turbine system is a complex system with high nonlinearity,time-delay and strong coupling.It is difi cult to obtain an excellent dynamic response by means of traditional PI/PID control when the power system load changes in a wide range.So far many advanced control strategies have been presented to solve the above problem,but most of these strategies are dependent on an accurate object model. 展开更多
关键词 boiler-turbine coordinate system tracking control linear matrix inequalities(LMI) uncertain parameter model fuzzy Lyapunov functions
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ON THE PROBLEM OF UNIQUENESS AND DETERMINATION OF ALGEBRAIC FUNCTIONS
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作者 Yu Junyang(Institute of Mathematics, Academia Sinica) 《中国科学院研究生院学报》 CAS CSCD 1991年第1期10-22,共13页
This paper gives the unicity theorem of algebraic functions and further inquires into the problem of determination of algebraic functions.
关键词 unigueness DETERMINATION ALGEBRAIC functions
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Focalizations and Their Functions in Heart of Darkness
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作者 Dong Xiaohua (Foreign Languages Department, Northwest Normal University, Lanzhou, 730070, China) 《兰州大学学报(社会科学版)》 CSSCI 北大核心 2000年第S1期109-113,共5页
As an important technique involved in the novel writing,the focalization is studied in detail in Narratology.The paper is an attempt to analyze the arrangement of focalizations and their functions in Heart of Dartness... As an important technique involved in the novel writing,the focalization is studied in detail in Narratology.The paper is an attempt to analyze the arrangement of focalizations and their functions in Heart of Dartness according to Narratology. 展开更多
关键词 focalizations narratology functions
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The Separation of Powers from Functions and the Establishment of a New Structure of Management and Operation of State-owned Assets
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作者 Zhou Li-qun Ph. D. of Economics. Associate Professor of Institute of Economics of NANKAI UNIVERSITY. Deputy Dean of College of Economics, NANKAI UNIVERSITY 《南开经济研究》 CSSCI 北大核心 1994年第S3期13-18,共6页
The development of the socialist market economy demands the furtherintensification of the reform of the management operating system (MOS)of the state-owned assets, the strengthening of the efficiency in the man-agemen... The development of the socialist market economy demands the furtherintensification of the reform of the management operating system (MOS)of the state-owned assets, the strengthening of the efficiency in the man-agement of state-owned assets,and the improvement of the operating bene- 展开更多
关键词 The Separation of Powers from functions and the Establishment of a New Structure of Management and Operation of State-owned Assets
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Weapon effectiveness and the shapes of damage functions 被引量:8
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作者 Sei-Hoon Moon 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第2期617-632,共16页
This paper provides a review of methods of assessing a fragmentation weapon’s effectiveness against a point target or an area target with keeping the focus on the necessity of using the Carleton damage function with ... This paper provides a review of methods of assessing a fragmentation weapon’s effectiveness against a point target or an area target with keeping the focus on the necessity of using the Carleton damage function with the correct shape factor.First,cookie-cutter damage functions are redefined to preserve the shape factor of and to have the same lethal area as the corresponding Carleton damage function.Then,closed-form solutions of the effectiveness methods are obtained by using those cookie-cutter damage functions and the Carleton damage function.Finally,the closed-form solutions are applied to calculate the probability of damaging a point target and the expected fractional damage to an area target for several attack scenarios by using cookie-cutter damage functions and the Carleton damage functions with different shape factors.The comparison of the calculation results shows that using cookie-cutter damage functions or the Carleton damage function with a wrong shape factor results in quite significant differences from using the original Carleton damage function with a correct shape factor when weapon’s delivery error deviations are less than or comparable to the lengths of the lethal area and the aim point is far from a target.The effectiveness methods improved in this paper will be useful for mission planning utilizing the precision-guided munitions in circumstances where the collateral damage should be reduced. 展开更多
关键词 Weapon effectiveness Point target Area target Cookie-cutter damage function Carleton damage function
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Fuzzy smooth support vector machine with different smooth functions 被引量:5
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作者 Chuandong Qin Sanyang Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第3期460-466,共7页
Smooth support vector machine (SSVM) changs the normal support vector machine (SVM) into the unconstrained op- timization by using the smooth sigmoid function. The method can be solved under the Broyden-Fletcher-G... Smooth support vector machine (SSVM) changs the normal support vector machine (SVM) into the unconstrained op- timization by using the smooth sigmoid function. The method can be solved under the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm and the Newdon-Armijio (NA) algorithm easily, however the accuracy of sigmoid function is not as good as that of polyno- mial smooth function. Furthermore, the method cannot reduce the influence of outliers or noise in dataset. A fuzzy smooth support vector machine (FSSVM) with fuzzy membership and polynomial smooth functions is introduced into the SVM. The fuzzy member- ship considers the contribution rate of each sample to the optimal separating hyperplane and makes the optimization problem more accurate at the inflection point. Those changes play a positive role on trials. The results of the experiments show that those FSSVMs can obtain a better accuracy and consume the shorter time than SSVM and lagrange support vector machine (LSVM). 展开更多
关键词 smooth support vector machine (SSVM) fuzzy sig- moid function polynomial smooth function fuzzy membership Broyden-Fletcher-Gddfarb-Shanno (BFGS).
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Elitism-based immune genetic algorithm and its application to optimization of complex multi-modal functions 被引量:4
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作者 谭冠政 周代明 +1 位作者 江斌 DIOUBATE Mamady I 《Journal of Central South University of Technology》 EI 2008年第6期845-852,共8页
A novel immune genetic algorithm with the elitist selection and elitist crossover was proposed, which is called the immune genetic algorithm with the elitism (IGAE). In IGAE, the new methods for computing antibody s... A novel immune genetic algorithm with the elitist selection and elitist crossover was proposed, which is called the immune genetic algorithm with the elitism (IGAE). In IGAE, the new methods for computing antibody similarity, expected reproduction probability, and clonal selection probability were given. IGAE has three features. The first is that the similarities of two antibodies in structure and quality are all defined in the form of percentage, which helps to describe the similarity of two antibodies more accurately and to reduce the computational burden effectively. The second is that with the elitist selection and elitist crossover strategy IGAE is able to find the globally optimal solution of a given problem. The third is that the formula of expected reproduction probability of antibody can be adjusted through a parameter r, which helps to balance the population diversity and the convergence speed of IGAE so that IGAE can find the globally optimal solution of a given problem more rapidly. Two different complex multi-modal functions were selected to test the validity of IGAE. The experimental results show that IGAE can find the globally maximum/minimum values of the two functions rapidly. The experimental results also confirm that IGAE is of better performance in convergence speed, solution variation behavior, and computational efficiency compared with the canonical genetic algorithm with the elitism and the immune genetic algorithm with the information entropy and elitism. 展开更多
关键词 immune genetic algorithm multi-modal function optimization evolutionary computation elitist selection elitist crossover
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Improved theory of generalized meteo-ballistic weighting factor functions and their use 被引量:1
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作者 Vladimir CECH Jiri JEVICKY 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2016年第3期242-254,共13页
It follows from the analysis of artillery fire errors that approximately two-thirds of the inaccuracy of indirect artillery fire is caused by inaccuracies in the determination of the meteo parameters included in fire ... It follows from the analysis of artillery fire errors that approximately two-thirds of the inaccuracy of indirect artillery fire is caused by inaccuracies in the determination of the meteo parameters included in fire error budget model.Trajectories calculated under non-standard conditions are considered to be perturbed.The tools utilized for the analysis of perturbed trajectories are weighting factor functions(WFFs)which are a special kind of sensitivity functions.WFFs are used for calculation of meteo ballistic elements B(ballistic wind w B,densityρB,virtual temperatureτB,pressure p B)as well.We have found that the existing theory of WFF calculation has several significant shortcomings.The aim of the article is to present a new,improved theory of generalized WFFs that eliminates the deficiencies found.Using this theory will improve methods for designing firing tables,fire control systems algorithms,and meteo message generation algorithms. 展开更多
关键词 EXTERIOR BALLISTIC Non-standard projectile trajectory Perturbation Meteoconditions Sensitivity FUNCTION (Generalized) weighting (factor) function(curve) (Generalized) EFFECT FUNCTION Norm EFFECT
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Synchronization of chaos using radial basis functions neural networks 被引量:2
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作者 Ren Haipeng Liu Ding 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期83-88,100,共7页
The Radial Basis Functions Neural Network (RBFNN) is used to establish the model of a response system through the input and output data of the system. The synchronization between a drive system and the response syst... The Radial Basis Functions Neural Network (RBFNN) is used to establish the model of a response system through the input and output data of the system. The synchronization between a drive system and the response system can be implemented by employing the RBFNN model and state feedback control. In this case, the exact mathematical model, which is the precondition for the conventional method, is unnecessary for implementing synchronization. The effect of the model error is investigated and a corresponding theorem is developed. The effect of the parameter perturbations and the measurement noise is investigated through simulations. The simulation results under different conditions show the effectiveness of the method. 展开更多
关键词 Chaos synchronization Radial basis function neural networks Model error Parameter perturbation Measurement noise.
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