This paper investigates the sliding-mode-based fixed-time distributed average tracking (DAT) problem for multiple Euler-Lagrange systems in the presence of external distur-bances. The primary objective is to devise co...This paper investigates the sliding-mode-based fixed-time distributed average tracking (DAT) problem for multiple Euler-Lagrange systems in the presence of external distur-bances. The primary objective is to devise controllers for each agent, enabling them to precisely track the average of multiple time-varying reference signals. By averaging these signals, we can mitigate the influence of errors and uncertainties arising dur-ing measurements, thereby enhancing the robustness and stabi-lity of the system. A distributed fixed-time average estimator is proposed to estimate the average value of global reference sig-nals utilizing local information and communication with neigh-bors. Subsequently, a fixed-time sliding mode controller is intro-duced incorporating a state-dependent sliding mode function coupled with a variable exponent coefficient to achieve dis-tributed average tracking of reference signals, and rigorous ana-lytical methods are employed to substantiate the fixed-time sta-bility. Finally, numerical simulation results are provided to vali-date the effectiveness of the proposed methodology, offering insights into its practical application and robust performance.展开更多
This paper studies the weighted average consensus problem for networks of agents with fixed directed asymmetric unbalance information exchange topology. We suppose that the classical distributed consensus protocol is ...This paper studies the weighted average consensus problem for networks of agents with fixed directed asymmetric unbalance information exchange topology. We suppose that the classical distributed consensus protocol is destroyed by diverse time-delays which include communication time-delay and self time-delay. Based on the generalized Nyquist stability criterion and the Gerschgorin disk theorem, some sufficient conditions for the consensus of multi-agent systems are obtained. And we give the expression of the weighted average consensus value for our consensus protocol. Finally, numerical examples are presented to illustrate the theoretical results.展开更多
Poly-L-lactide（PLLA） was synthesized by ring-opening polymerization fi＇om high purity L-lactide with tin octoate as initiator, and characterized by means of infi＇ared, and ^1H-nuclear magnetic resonance. The influ...Poly-L-lactide（PLLA） was synthesized by ring-opening polymerization fi＇om high purity L-lactide with tin octoate as initiator, and characterized by means of infi＇ared, and ^1H-nuclear magnetic resonance. The influences of initiator concentration, polymerization temperature and polymerization time on the viscosity average molecular mass of PLLA were investigated. The effects of different purification methods on the concentration of initiator and viscosity average molecular mass were also studied. PLLA with a viscosity average molecular mass of about 50.5×1^04 was obtained when polymerization was conducted for 24 h at 140℃ with the molar ratio of monomer to purification initator being 12 000. After purification, the concentration of tin octoate decreases; however, the effect of different purification methods on the viscosity average molecular mass of PLLA is different, and the obtained PLLA is a typical amorphous polymeric material. The crystallinity of PLLA decreases with the increase of viscosity average molecular mass.展开更多
It is not reasonable to estimate the average relationship degree in statistics by using the mean of relationship coefficients between the individuals in a animal population.According to different usage of relationship...It is not reasonable to estimate the average relationship degree in statistics by using the mean of relationship coefficients between the individuals in a animal population.According to different usage of relationship coefficient,the estimation method of average relationship coefficient in animal population was disscussed by using Z transformation or CSC transformation,respectively,when relationship coefficient shows relationship degree or probability.展开更多
Effects of shear rates on average cluster sizes (ACSs) and cluster size distributions (CSDs) in uni- and bi-systems of partly charged superfine nickel particles were investigated by Brownian dynamics, and clustering p...Effects of shear rates on average cluster sizes (ACSs) and cluster size distributions (CSDs) in uni- and bi-systems of partly charged superfine nickel particles were investigated by Brownian dynamics, and clustering properties in these systems were compared with those in non-polar systems. The results show that the ACSs in bi-polar systems are larger than those in the non-polar systems. In uni-polar systems the behavior of clustering property differs: at the lower ionic concentration (10%), repulsive force is not strong enough to break clusters, but may greatly weaken them. The clusters are eventually cracked into smaller ones only when concentration of uni-polar charged particles is large enough. In this work, the ionic concentration is 20%. The relationship between ACS and shear rates follows power law in a exponent range of 0.176-0.276. This range is in a good agreement with the range of experimental data, but it is biased towards the lower limit slightly.展开更多
The viscous-flow properties of pectin from the residue of orange peel after extraction of essential oil and flavonoid were studied and the viscosity-average molecular mass(Mv,ave) of this kind of pectin was determined...The viscous-flow properties of pectin from the residue of orange peel after extraction of essential oil and flavonoid were studied and the viscosity-average molecular mass(Mv,ave) of this kind of pectin was determined.Experimental results show that Arrhenius viscous-flow equation can be applied to describing the effect of temperature on viscosity of this kind of orange peel pectin solutions with the average viscous-flow activation energy being 17.91 kJ/mol(depending on the concentration).Neither power equation,η =K1 cA1,nor exponential equation,η=K2exp(A2c) can describe the effect of concentration on viscosity of this kind of orange peel pectin solutions well.However,it seems that exponential equation model is more suitable to describe their relation due to its higher linear correlation coefficient.Schulz-Blaschke equation can be used to calculate the intrinsic viscosity of this kind of orange peel pectin.The Mv,ave of the orange peel pectin is 1.65×105 g/mol.展开更多
In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applie...In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases.展开更多
用于中高压直流电网互联和隔离的模块化多电平直流变压器(modular multilevel DC transformer,MMDCT)在传输功率变化的过程中会出现电流欠阻尼振荡的问题,从而降低了装置的稳定性,因此文中对振荡抑制展开了研究。首先,通过差模和共模电...用于中高压直流电网互联和隔离的模块化多电平直流变压器(modular multilevel DC transformer,MMDCT)在传输功率变化的过程中会出现电流欠阻尼振荡的问题,从而降低了装置的稳定性,因此文中对振荡抑制展开了研究。首先,通过差模和共模电路中的振荡现象分析,并基于状态空间平均法建立数学模型,从而揭示了MMDCT中的电流振荡机理;进一步提出了一种基于共模和差模分离的电流振荡抑制方法,利用变副边交流侧电压占空比的方式实现漏感电流振荡的抑制,同时采用变桥臂电压占空比的方式进行环流电流振荡的抑制,并给出了相应控制器参数设计依据。最后,通过仿真和实验验证了所提控制方法的有效性,结果表明在基于共模和差模分离的振荡抑制方法下,MMDCT可以在功率变化过程中快速实现电流稳定,有利于提升装置稳定性。展开更多
目的:鼻咽癌发病位置隐匿导致早期诊断率低,且具有明显的地域聚集性,是中国一个重要的公共卫生问题。本研究旨在通过2021年全球疾病负担(the Global Burden of Diseases,GBD)数据库分析中国鼻咽癌的疾病负担,为鼻咽癌的精准防控提供流...目的:鼻咽癌发病位置隐匿导致早期诊断率低,且具有明显的地域聚集性,是中国一个重要的公共卫生问题。本研究旨在通过2021年全球疾病负担(the Global Burden of Diseases,GBD)数据库分析中国鼻咽癌的疾病负担,为鼻咽癌的精准防控提供流行病学依据。方法:选取年龄标化发病率、病死率、伤残调整寿命年(disability adjusted life year,DALY)率作为疾病负担的评价指标,按照不同年龄、性别、社会人口学指数及其相关危险因素进行分层分析,同时应用差分自回归移动平均(autoregressive integrated moving average,ARIMA)模型和贝叶斯年龄-时期-队列分析模型(Bayesian age-period-cohort,BAPC)将年龄标化发病率预测至2050年。结果:2021年中国鼻咽癌年龄标化发病率、病死率、DALY率分别为3.4/10万、1.5/10万、48.7/10万,均高于同期全球水平。在所有年龄段,中国男性年龄标化发病率、病死率、DALY率均高于女性。中国鼻咽癌的疾病负担从1990至2021年随着社会人口学指数(socio-demographic index,SDI)的增高逐渐降低。中国归因于饮酒、吸烟、职业甲醛暴露的鼻咽癌疾病负担占比均高于全球水平,且在男性中尤为显著。模型预测中国及全球男性、女性、全人群的年龄标化发病率均提示从2022至2050年呈上升趋势。结论:既往30年中国鼻咽癌的疾病负担随着SDI的升高逐渐降低,但仍高于同期全球水平。同时,中国鼻咽癌的年龄标化发病率在未来30年呈上升趋势。中国仍需进一步增加医疗资源的投入以应对鼻咽癌的防控与诊疗,尤其针对高风险男性群体。展开更多
基金supported by the National Natural Science Foundation of China(61673130).
文摘This paper investigates the sliding-mode-based fixed-time distributed average tracking (DAT) problem for multiple Euler-Lagrange systems in the presence of external distur-bances. The primary objective is to devise controllers for each agent, enabling them to precisely track the average of multiple time-varying reference signals. By averaging these signals, we can mitigate the influence of errors and uncertainties arising dur-ing measurements, thereby enhancing the robustness and stabi-lity of the system. A distributed fixed-time average estimator is proposed to estimate the average value of global reference sig-nals utilizing local information and communication with neigh-bors. Subsequently, a fixed-time sliding mode controller is intro-duced incorporating a state-dependent sliding mode function coupled with a variable exponent coefficient to achieve dis-tributed average tracking of reference signals, and rigorous ana-lytical methods are employed to substantiate the fixed-time sta-bility. Finally, numerical simulation results are provided to vali-date the effectiveness of the proposed methodology, offering insights into its practical application and robust performance.
基金supported by the National Natural Science Foundation of China(6127312661363002+3 种基金61374104)the Natural Science Foundation of Guangdong Province(10251064101000008S2012010009675)the Fundamental Research Funds for the Central Universities(2012ZM0059)
文摘This paper studies the weighted average consensus problem for networks of agents with fixed directed asymmetric unbalance information exchange topology. We suppose that the classical distributed consensus protocol is destroyed by diverse time-delays which include communication time-delay and self time-delay. Based on the generalized Nyquist stability criterion and the Gerschgorin disk theorem, some sufficient conditions for the consensus of multi-agent systems are obtained. And we give the expression of the weighted average consensus value for our consensus protocol. Finally, numerical examples are presented to illustrate the theoretical results.
基金Project (50174059) supported by the National Natural Science Foundation of China
文摘Poly-L-lactide（PLLA） was synthesized by ring-opening polymerization fi＇om high purity L-lactide with tin octoate as initiator, and characterized by means of infi＇ared, and ^1H-nuclear magnetic resonance. The influences of initiator concentration, polymerization temperature and polymerization time on the viscosity average molecular mass of PLLA were investigated. The effects of different purification methods on the concentration of initiator and viscosity average molecular mass were also studied. PLLA with a viscosity average molecular mass of about 50.5×1^04 was obtained when polymerization was conducted for 24 h at 140℃ with the molar ratio of monomer to purification initator being 12 000. After purification, the concentration of tin octoate decreases; however, the effect of different purification methods on the viscosity average molecular mass of PLLA is different, and the obtained PLLA is a typical amorphous polymeric material. The crystallinity of PLLA decreases with the increase of viscosity average molecular mass.
基金Supported by National Natural Science Foundation of China （61074032, 61473182, 61104089）, National High Technology Research and Development Program of China （863 Program） （2011AA040103-7）, Project of Science and Technology Commission of Shanghai Municipality （10JC1405000, 11ZR1413100,14JC1402200）, and Shanghai Rising-Star Program （13QA1401600）
基金Foundation item :Financed by the Heilongjiang province natural science fund.(1997- 0 3)
文摘It is not reasonable to estimate the average relationship degree in statistics by using the mean of relationship coefficients between the individuals in a animal population.According to different usage of relationship coefficient,the estimation method of average relationship coefficient in animal population was disscussed by using Z transformation or CSC transformation,respectively,when relationship coefficient shows relationship degree or probability.
基金Projects(50474037, 50874087) supported by the National Natural Science Foundation of ChinaProject (BK2006078) supported by the Natural Scientific Funds of Jiangsu Province,China
文摘Effects of shear rates on average cluster sizes (ACSs) and cluster size distributions (CSDs) in uni- and bi-systems of partly charged superfine nickel particles were investigated by Brownian dynamics, and clustering properties in these systems were compared with those in non-polar systems. The results show that the ACSs in bi-polar systems are larger than those in the non-polar systems. In uni-polar systems the behavior of clustering property differs: at the lower ionic concentration (10%), repulsive force is not strong enough to break clusters, but may greatly weaken them. The clusters are eventually cracked into smaller ones only when concentration of uni-polar charged particles is large enough. In this work, the ionic concentration is 20%. The relationship between ACS and shear rates follows power law in a exponent range of 0.176-0.276. This range is in a good agreement with the range of experimental data, but it is biased towards the lower limit slightly.
基金Supported by National Natural Science Foundation of China （61079001, 61273006）, National High Technology Research and Development Program of China （863 Program） （2011AAl10301）, Specialized Research Fund for the Doctoral Program of Higher Education of China （20111103110017）, Hebei Province Science and Technology Research and Development Planning Project （10203548D）, Hebei Province Science and Technology Planning Project （13210807） Hebei Province Science and Technology Conditions Building Program （11963546D）
基金Project(104-0071) supported by Foundation of Talents of Central South University of Forestry and Technology,China
文摘The viscous-flow properties of pectin from the residue of orange peel after extraction of essential oil and flavonoid were studied and the viscosity-average molecular mass(Mv,ave) of this kind of pectin was determined.Experimental results show that Arrhenius viscous-flow equation can be applied to describing the effect of temperature on viscosity of this kind of orange peel pectin solutions with the average viscous-flow activation energy being 17.91 kJ/mol(depending on the concentration).Neither power equation,η =K1 cA1,nor exponential equation,η=K2exp(A2c) can describe the effect of concentration on viscosity of this kind of orange peel pectin solutions well.However,it seems that exponential equation model is more suitable to describe their relation due to its higher linear correlation coefficient.Schulz-Blaschke equation can be used to calculate the intrinsic viscosity of this kind of orange peel pectin.The Mv,ave of the orange peel pectin is 1.65×105 g/mol.
文摘In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases.
文摘用于中高压直流电网互联和隔离的模块化多电平直流变压器(modular multilevel DC transformer,MMDCT)在传输功率变化的过程中会出现电流欠阻尼振荡的问题,从而降低了装置的稳定性,因此文中对振荡抑制展开了研究。首先,通过差模和共模电路中的振荡现象分析,并基于状态空间平均法建立数学模型,从而揭示了MMDCT中的电流振荡机理;进一步提出了一种基于共模和差模分离的电流振荡抑制方法,利用变副边交流侧电压占空比的方式实现漏感电流振荡的抑制,同时采用变桥臂电压占空比的方式进行环流电流振荡的抑制,并给出了相应控制器参数设计依据。最后,通过仿真和实验验证了所提控制方法的有效性,结果表明在基于共模和差模分离的振荡抑制方法下,MMDCT可以在功率变化过程中快速实现电流稳定,有利于提升装置稳定性。
文摘目的:鼻咽癌发病位置隐匿导致早期诊断率低,且具有明显的地域聚集性,是中国一个重要的公共卫生问题。本研究旨在通过2021年全球疾病负担(the Global Burden of Diseases,GBD)数据库分析中国鼻咽癌的疾病负担,为鼻咽癌的精准防控提供流行病学依据。方法:选取年龄标化发病率、病死率、伤残调整寿命年(disability adjusted life year,DALY)率作为疾病负担的评价指标,按照不同年龄、性别、社会人口学指数及其相关危险因素进行分层分析,同时应用差分自回归移动平均(autoregressive integrated moving average,ARIMA)模型和贝叶斯年龄-时期-队列分析模型(Bayesian age-period-cohort,BAPC)将年龄标化发病率预测至2050年。结果:2021年中国鼻咽癌年龄标化发病率、病死率、DALY率分别为3.4/10万、1.5/10万、48.7/10万,均高于同期全球水平。在所有年龄段,中国男性年龄标化发病率、病死率、DALY率均高于女性。中国鼻咽癌的疾病负担从1990至2021年随着社会人口学指数(socio-demographic index,SDI)的增高逐渐降低。中国归因于饮酒、吸烟、职业甲醛暴露的鼻咽癌疾病负担占比均高于全球水平,且在男性中尤为显著。模型预测中国及全球男性、女性、全人群的年龄标化发病率均提示从2022至2050年呈上升趋势。结论:既往30年中国鼻咽癌的疾病负担随着SDI的升高逐渐降低,但仍高于同期全球水平。同时,中国鼻咽癌的年龄标化发病率在未来30年呈上升趋势。中国仍需进一步增加医疗资源的投入以应对鼻咽癌的防控与诊疗,尤其针对高风险男性群体。
