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Effects of pooling,specialization,and discretionary task completion on queueing performance
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作者 JIANG Houyuan 《运筹学学报(中英文)》 CSCD 北大核心 2024年第3期81-96,共16页
Pooling,unpooling/specialization,and discretionary task completion are typical operational strategies in queueing systems that arise in healthcare,call centers,and online sales.These strategies may have advantages and... Pooling,unpooling/specialization,and discretionary task completion are typical operational strategies in queueing systems that arise in healthcare,call centers,and online sales.These strategies may have advantages and disadvantages in different operational environments.This paper uses the M/M/1 and M/M/2 queues to study the impact of pooling,specialization,and discretionary task completion on the average queue length.Closed-form solutions for the average M/M/2 queue length are derived.Computational examples illustrate how the average queue length changes with the strength of pooling,specialization,and discretionary task completion.Finally,several conjectures are made in the paper. 展开更多
关键词 queuing systems pooling SPECIALIZATION discretionary task completion average queue length
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Equilibrium Strategies in M/M/1 Retrial Queues with Variable Service Rate
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作者 LIU Yuanyuan YAN Zhaozeng YANG Qin 《应用概率统计》 北大核心 2025年第3期448-466,共19页
We consider a single server constant retrial queue,in which a state-dependent service policy is used to control the service rate.Customer arrival follows Poisson process,while service time and retrial time are exponen... We consider a single server constant retrial queue,in which a state-dependent service policy is used to control the service rate.Customer arrival follows Poisson process,while service time and retrial time are exponential distributions.Whenever the server is available,it admits the retrial customers into service based on a first-come first-served rule.The service rate adjusts in real-time based on the retrial queue length.An iterative algorithm is proposed to numerically solve the personal optimal problem in the fully observable scenario.Furthermore,we investigate the impact of parameters on the social optimal threshold.The effectiveness of the results is illustrated by two examples. 展开更多
关键词 variable service rate retrial queues real-time adaptability equilibrium strategies ALGORITHM
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A novel reaching law approach of quasi-sliding-mode control for uncertain discrete-time systems 被引量:4
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作者 袁雷 沈建清 +1 位作者 肖飞 王恒利 《Journal of Central South University》 SCIE EI CAS 2012年第9期2514-2519,共6页
A novel discrete-time reaching law was proposed for uncertain discrete-time system,which contained process noise and measurement noise.The proposed method reserves all the advantages of discrete-time reaching law,whic... A novel discrete-time reaching law was proposed for uncertain discrete-time system,which contained process noise and measurement noise.The proposed method reserves all the advantages of discrete-time reaching law,which not only decreases the band width of sliding mode and strengthens the system robustness,but also improves the dynamic performance and stability capability of the system.Moreover,a discrete-time sliding mode control strategy based on Kalman filter method was designed,and Kalman filter was employed to eliminate the influence of system noise.Simulation results show that there is no chattering phenomenon in the output of controller and the state variables of controlled system,and the proposed algorithm is also feasible and has strong robustness to external disturbances. 展开更多
关键词 discrete-time system quasi-sliding-mode control discrete-time reaching law Kalman filter
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Attitude sensor fault diagnosis based on Kalman filter of discrete-time descriptor system 被引量:8
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作者 ZhenhuaWang Yi Shen Xiaolei Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第6期914-920,共7页
To diagnose the fault of attitude sensors in satellites, this paper proposes a novel approach based on the Kalman filter of the discrete-time descriptor system. By regarding the sensor fault term as the auxiliary stat... To diagnose the fault of attitude sensors in satellites, this paper proposes a novel approach based on the Kalman filter of the discrete-time descriptor system. By regarding the sensor fault term as the auxiliary state vector, the attitude measurement system subjected to the attitude sensor fault is modeled by the discrete-time descriptor system. The condition of estimability of such systems is given. And then a Kalman filter of the discrete-time descriptor system is established based on the methodology of the maximum likelihood estimation. With the descriptor Kalman filter, the state vector of the original system and sensor fault can be estimated simultaneously. The proposed method is able to esti-mate an abrupt sensor fault as well as the incipient one. Moreover, it is also effective in the multiple faults scenario. Simulations are conducted to confirm the effectiveness of the proposed method. 展开更多
关键词 discrete-time descriptor system Kalman filter satel-lite attitude sensor fault estimation.
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Stability analysis and stabilization for discrete-time singular delay systems 被引量:3
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作者 Xin Sun Qingling Zhang +1 位作者 Chunyu Yang Zhan Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第3期482-487,共6页
Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems i... Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is derived.Then,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 discrete-time singular systems DELAY STABILITY stabilization.
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Composite nonlinear feedback control for output regulation problem of linear discrete-time systems with input saturation 被引量:2
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作者 Chongwen Wang Xing Chu Weiyao Lan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第6期1043-1055,共13页
Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback(CNF) control technique. The regulator is designed to ... Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback(CNF) control technique. The regulator is designed to be an additive combination of a linear regulator part and a nonlinear feedback part. The linear regulator part solves the regulation problem independently which produces a quick output response but large oscillations. The nonlinear feedback part with well-tuned parameters is introduced to improve the transient performance by smoothing the oscillatory convergence. It is shown that the introduction of the nonlinear feedback part does not change the solvability conditions of the linear discrete-time output regulation problem. The effectiveness of transient improvement is illustrated by a numeric example. 展开更多
关键词 output regulation composite nonlinear feedback in-put saturation transient performance discrete-time system
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Static output feedback control for discrete-time fuzzy bilinear system 被引量:4
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作者 Guo Zhang Mingli Song 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期296-299,共4页
The problem of designing fuzzy static output feedback controller for T-S discrete-time fuzzy bilinear system (DFBS) is presented. Based on parallel distribution compensation method, some sufficient conditions are de... The problem of designing fuzzy static output feedback controller for T-S discrete-time fuzzy bilinear system (DFBS) is presented. Based on parallel distribution compensation method, some sufficient conditions are derived to guarantee the stability of the overall fuzzy system. The stabilization conditions are further formulated into linear matrix inequality (LMI) so that the desired controller can be easily obtained by using the Matlab LMI toolbox. In comparison with the existing results, the drawbacks, such as coordinate transformation, same output matrices, have been elim- inated. Finally, a simulation example shows that the approach is effective. 展开更多
关键词 discrete-time fuzzy bilinear system (DFBS) static out- put feedback control fuzzy control linear matrix inequality (LMI).
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Non-fragile guaranteed cost control of discrete-time fuzzy bilinear system 被引量:5
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作者 Guo Zhang Junmin Li 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期629-634,共6页
This paper focuses on the problem of non-fragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems(DFBS).Based on the parallel distributed compensation(PDC) approach,the sufficient co... This paper focuses on the problem of non-fragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems(DFBS).Based on the parallel distributed compensation(PDC) approach,the sufficient conditions are derived such that the closed-loop system is asymptotically stable and the cost function value is no more than a certain upper bound in the presence of the additive controller gain perturbations.The non-fragile guaranteed cost controller can be obtained by solving a set of bilinear matrix inequalities(BMIs).The Van de Vusse model is utilized to demonstrate the validity and effectiveness of the proposed approach. 展开更多
关键词 discrete-time fuzzy bilinear system(DFBS) nonfragile control guaranteed cost control bilinear matrix inequality(BMI).
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Robust reliable H_∞ control for discrete-time Markov jump linear systems with actuator failures 被引量:2
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作者 Chen Jiaorong Liu Fei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第5期965-973,共9页
The robust reliable H∞ control problem for discrete-time Markovian jump systems with actuator failures is studied. A more practical model of actuator failures than outage is considered. Based on the state feedback me... The robust reliable H∞ control problem for discrete-time Markovian jump systems with actuator failures is studied. A more practical model of actuator failures than outage is considered. Based on the state feedback method, the resulting closed-loop systems are reliable in that they remain robust stochastically stable and satisfy a certain level of H∞ disturbance attenuation not only when all actuators are operational, but also in case of some actuator failures, The solvability condition of controllers can be equivalent to a feasibility problem of coupled linear matrix inequalities (LMIs). A numerical example is also given to illustrate the design procedures and their effectiveness. 展开更多
关键词 discrete-time Markov jump systems actuator failure reliable control robust H∞-control time-delay.
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Robust stability and stabilization for uncertain discrete-time switched singular systems with time-varying delays 被引量:2
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作者 Jinxing Lin Shumin Fei Jiong Shen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期650-657,共8页
The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By ... The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By constructing a novel switched Lyapunov-Krasovskii functional,a delay-dependent criterion for the unforced system to be regular,causal and uniformly asymptotically stable is established in terms of linear matrix inequalities(LMIs).An explicit expression for the desired memoryless state feedback stabilization controller is also given.The merits of the proposed criteria lie in their less conservativeness and relative simplicity,which are achieved by considering additionally useful terms(ignored in previous methods) when estimating the upper bound of the forward difference of the Lyapunov-Krasovskii functional and by avoiding utilizing any model augmentation transformation.Some numerical examples are provided to illustrate the validity of the proposed methods. 展开更多
关键词 discrete-time switched singular system time-varying delay delay-dependent criterion switched Lyapunov-Krasovskii functional robust stability stabilization.
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Indirect adaptive fuzzy control for a class of nonlinear discrete-time systems 被引量:1
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作者 Shi Wuxi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第6期1203-1207,共5页
An indirect adaptive fuzzy control scheme is developed for a class of nonlinear discrete-time systems. In this method, two fuzzy logic systems are used to approximate the unknown functions, and the parameters of membe... An indirect adaptive fuzzy control scheme is developed for a class of nonlinear discrete-time systems. In this method, two fuzzy logic systems are used to approximate the unknown functions, and the parameters of membership functions in fuzzy logic systems are adjusted according to adaptive laws for the purpose of controlling the plant to track a reference trajectory. It is proved that the scheme can not only guarantee the boundedness of the input and output of the closed-loop system, but also make the tracking error converge to a small neighborhood of the origin. Simulation results indicate the effectiveness of this scheme. 展开更多
关键词 nonlinear discrete-time systems adaptive fuzzy control stability analysis.
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Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter 被引量:1
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作者 Chai Lin Cheng Ming +1 位作者 Fei Shumin Zhai Junyong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第1期159-167,共9页
The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our des... The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example. 展开更多
关键词 discrete-time time-delay systems adaptive control linear matrix inequality.
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Adaptive learning with guaranteed stability for discrete-time recurrent neural networks 被引量:1
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作者 邓华 吴义虎 段吉安 《Journal of Central South University of Technology》 EI 2007年第5期685-689,共5页
To avoid unstable learning, a stable adaptive learning algorithm was proposed for discrete-time recurrent neural networks. Unlike the dynamic gradient methods, such as the backpropagation through time and the real tim... To avoid unstable learning, a stable adaptive learning algorithm was proposed for discrete-time recurrent neural networks. Unlike the dynamic gradient methods, such as the backpropagation through time and the real time recurrent learning, the weights of the recurrent neural networks were updated online in terms of Lyapunov stability theory in the proposed learning algorithm, so the learning stability was guaranteed. With the inversion of the activation function of the recurrent neural networks, the proposed learning algorithm can be easily implemented for solving varying nonlinear adaptive learning problems and fast convergence of the adaptive learning process can be achieved. Simulation experiments in pattern recognition show that only 5 iterations are needed for the storage of a 15×15 binary image pattern and only 9 iterations are needed for the perfect realization of an analog vector by an equilibrium state with the proposed learning algorithm. 展开更多
关键词 recurrent neural networks adaptive learning nonlinear discrete-time systems pattern recognition
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Robust H_∞ filtering for discrete-time systems with Markovian switching and time-delays 被引量:1
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作者 Yao Xiuming Zhao Fu +1 位作者 Ling Mingxiang Wang Changhong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期1072-1080,共9页
The robust H∞ filtering problem for uncertain discrete-time Markovian jump linear systems with mode- dependent time-delays is investigated. Attention is focused on designing a Markovian jump linear filter that ensure... The robust H∞ filtering problem for uncertain discrete-time Markovian jump linear systems with mode- dependent time-delays is investigated. Attention is focused on designing a Markovian jump linear filter that ensures robust stochastic stability while achieving a prescribed H∞ performance level of the resulting filtering error system, for all admissible uncertainties. The key features of the approach include the introduction of a new type of stochastic Lyapunov functional and some free weighting matrix variables. Sufficient conditions for the solvability of this problem are obtained in terms of a set of linear matrix inequalities. Numerical examples are provided to demonstrate the reduced conservatism of the proposed approach. 展开更多
关键词 discrete-time Markovian jump linear system robust H∞ filtering mode-dependent delay linear matrix inequality.
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Robust stability of discrete-time nonlinear system with time-delay
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作者 LIU Xin-ge WU Min 《Journal of Central South University of Technology》 2005年第z1期227-231,共5页
The robustly asymptotical stability problem for discrete-time nonlinear systems with time-delay was investigated. Positive definite matrix are constructed through Lyapunov functional. With the identity transform, prop... The robustly asymptotical stability problem for discrete-time nonlinear systems with time-delay was investigated. Positive definite matrix are constructed through Lyapunov functional. With the identity transform, property of matrix inverse and S-procedure, a new sufficient condition independent of the size of time-delay for robust stability of discrete-time nonlinear systems with time-delay is established. With Schur complement, another equivalent sufficient condition for robust stability of discrete-time nonlinear systems with time-delay is given. Finally, a sufficient condition dependent on the size of time-delay for robust stability of discrete-time nonlinear systems with time-delay is obtained. A unified approach is used to cast the robust stability problem into a convex optimization involving linear matrix inequalities. 展开更多
关键词 discrete-time system TIME-DELAY robust stability linear MATRIX INEQUALITY
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Improved results on passivity analysis of discrete-time stochastic neural networks with time-varying delay
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作者 于建江 张侃健 费树岷 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2009年第S1期63-67,共5页
The problem of passivity analysis for a class of discrete-time stochastic neural networks (DSNNs) with time-varying interval delay was investigated. The delay-dependent sufficient criteria were derived in terms of lin... The problem of passivity analysis for a class of discrete-time stochastic neural networks (DSNNs) with time-varying interval delay was investigated. The delay-dependent sufficient criteria were derived in terms of linear matrix inequalities (LMIs). The results are shown to be generalization of some previous results and are less conservative than the existing works. Meanwhile, the computational complexity of the obtained stability conditions is reduced because less variables are involved. A numerical example is given to show the effectiveness and the benefits of the proposed method. 展开更多
关键词 PASSIVITY discrete-time stochastic neural networks (DSNNs) INTERVAL delay linear matrix INEQUALITIES (LMIs)
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Attractors and the attraction basins of discrete-time cellular neural networks
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作者 MaRunnian XiYoumin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第1期204-208,共5页
The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is n... The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN. 展开更多
关键词 discrete-time cellular neural networks convergent point k-attractor attraction basin.
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Optimal policy for controlling two-server queueing systems with jockeying
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作者 LIN Bing LIN Yuchen BHATNAGAR Rohit 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第1期144-155,共12页
This paper studies the optimal policy for joint control of admission, routing, service, and jockeying in a queueing system consisting of two exponential servers in parallel.Jobs arrive according to a Poisson process.U... This paper studies the optimal policy for joint control of admission, routing, service, and jockeying in a queueing system consisting of two exponential servers in parallel.Jobs arrive according to a Poisson process.Upon each arrival, an admission/routing decision is made, and the accepted job is routed to one of the two servers with each being associated with a queue.After each service completion, the servers have an option of serving a job from its own queue, serving a jockeying job from another queue, or staying idle.The system performance is inclusive of the revenues from accepted jobs, the costs of holding jobs in queues, the service costs and the job jockeying costs.To maximize the total expected discounted return, we formulate a Markov decision process(MDP) model for this system.The value iteration method is employed to characterize the optimal policy as a hedging point policy.Numerical studies verify the structure of the hedging point policy which is convenient for implementing control actions in practice. 展开更多
关键词 queueing system jockeying optimal policy Markov decision process(MDP) dynamic programming
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Robust stability analysis of uncertain discrete-time systems with state delay
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作者 RenZhengyun ZhangLiqun ShaoHuihe 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第2期153-157,共5页
The sufficient conditions of stability for uncertain discrete-time systems with state delay have been proposed by some researchers in the past few years, yet these results may be conservative in application. The stabi... The sufficient conditions of stability for uncertain discrete-time systems with state delay have been proposed by some researchers in the past few years, yet these results may be conservative in application. The stability analysis of these systems is discussed, and the necessary and sufficient condition of stability is derived by method other than constructing Lyapunov function and solving Riccati inequality. The root locations of system characteristic polynomial, which is obtained by augmentation approach and Laplace expansion, determine the stability of uncertain discrete-time systems with state delay, the system is stable if and only if all roots lie within the unit circle. In order to analyze robust stability of system characteristic polynomial effectively, Kharitonov theorem and edge theorem are applied. Example shows the practicability of these methods. 展开更多
关键词 robust stability state delay uncertain discrete-time system necessary and sufficient condition POLYNOMIAL Hurwitz stability Schur stability.
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Robust passive control for discrete-time T-S fuzzy systems with delays
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作者 Duan Guangren Li Yanjiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期1045-1051,共7页
This article deals with the robust stability analysis and passivity of uncertain discrete-time Takagi- Sugeno (T-S) fuzzy systems with time delays. The T-S fuzzy model with parametric uncertainties can approximate n... This article deals with the robust stability analysis and passivity of uncertain discrete-time Takagi- Sugeno (T-S) fuzzy systems with time delays. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. A sufficient condition on the existence of robust passive controller is established based on the Lyapunov stability theory. With the help of linear matrix inequality (LMI) method, robust passive controllers are designed so that the closed-loop system is robust stable and strictly passive. Furthermore, a convex optimization problem with LMI constraints is formulated to design robust passive controllers with the maximum dissipation rate. A numerical example illustrates the validity of the proposed method. 展开更多
关键词 discrete-time T-S fuzzy systems time delays robust control passive performance linear matrix inequality.
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