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Science China(Information Sciences) 2022年第3期65卷 138-151页

作者： Xiaoting DU Lei ZOU Zhongyi ZHAO Yezheng WANG Maiying ZHONG College of Electrical Engineering and Automation Shandong University of Science and Technology Department of Computer Science Brunel University London

This paper investigates the unknown-input-observer-based fault estimation problem for a class of discrete-time-delay Markovian jump systems under the dynamic event-triggered transmission scheme. The dynamic event-triggered mechanism is used to decide whether the current information should be transmitted to the estimator or not to save the limited communication resources. This study aims to design an event-based fault estimator such that the estimation error is exponentially ultimately bounded in the mean square sense.By adopting the Lyapunov-Krasovskii functional approach, sufficient conditions are obtained to guarantee the existence of the desired estimator to achieve the prescribed performance requirement. The estimator gains are derived based on the convex optimization technique. A numerical example is provided to illustrate the effectiveness of the developed estimator design scheme.

关键词： fault estimation unknown input observer Markovian jump systems dynamic event-triggered mechanism time-varying delays

Impulsive control of nonlinear systems with time-varying delays

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Chinese Physics B 2008年第7期17卷 2377-2387页

作者：于永斌鲍景富张洪斌钟其水廖晓峰虞厥邦 College of Electronic Engineering University of Electronic Science and Technology of China College of Computer Science Chongqing University

A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.

关键词： impulsive control time-varying delays impulsive delay systems Lyapunov functions A

Controllability of fractional-order damped systems with time-varying delays in control

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Frontiers of Information Technology & Electronic Engineering 2020年第6期21卷 844-855页

作者： Bin-bin HE Hua-cheng ZHOU Chun-hai KOU College of Urban Railway Transportation Shanghai University of Engineering ScienceShanghai 201620China School of Mathematics and Statistics Central South UniversityChangsha 410075China Department of Applied Mathematics Donghua UniversityShanghai 201620China

In this study,we focus on the controllability of fractional-order damped systems in linear and nonlinear cases with multiple time-varying delays in control.For the linear system based on the Mittag-Leffler matrix function,we define a controllability Gramian matrix,which is useful in judging whether the system is controllable or not.Furthermore,in two special cases,we present serval equivalent controllable conditions which are easy to verify.For the nonlinear system,under the controllability of its corresponding linear system,we obtain a sufficient condition on the nonlinear term to ensure that the system is controllable.Finally,two examples are given to illustrate the theory.

关键词： Controllability Fractional-order damped systems time-varying delays Gramian matrix

An improved impulsive control approach to nonlinear systems with time-varying delays

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Chinese Physics B 2009年第3期18卷 969-974页

作者：张化光符洁马铁东佟绍成 Key Laboratory of Industry Automation for the Process Integrated Ministry of EducationNortheastern University School of Information Science and Engineering Northeastern University Department of Mathematics and Physics Liaoning University of Technology

A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations （FDEs）, some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear systems with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

关键词： impulsive control time-varying delays impulsive functional differential equations Lyapunov-like stability theorem

Delay-dependent dissipative filtering for nonlinear stochastic singular systems with time-varying delays

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Science China(Information Sciences) 2017年第12期60卷 93-110页

作者： Shuangyun XING Feiqi DENG Systems Engineering Institute South China University of Technology College of Science Shenyang Jianzhu University

This paper concentrates on studying the delay-dependent dissipative filtering problem for nonlinear stochastic singular systems with time-varying delays via a Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy model is employed to represent a nonlinear stochastic singular system with unknown or partially unknown membership functions. Firstly, based on an auxiliary vector function, by utilizing an integral inequality and the free-weighting-matrix approach, a delay-dependent sufficient condition is derived to enable the considered filtering error system with time-varying delays to be stochastically admissible and dissipative. Furthermore,on the basis of the derived condition, by using a new type of candidate Lyapunov-Krasovskii function, the solvability conditions of the dissipative filter are addressed, and the corresponding fuzzy filter parameters can be obtained by solving a set of linear matrix inequalities. And then, we deduce the solving method for the H∞filter. The delay-dependent sufficient conditions are proposed to guarantee the systems to be regular, impulsefree, stochastically stable and to achieve a prescribed performance index ?γ. Finally, some simulation examples are proposed to manifest the effectiveness and merits of the filter design methodology developed in the paper.

关键词： nonlinear stochastic singular systems dissipative filtering unknown membership functions stochastic admissibility time-varying delays

New results on stability criteria for neural networks with time-varying delays

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Chinese Physics B 2011年第5期20卷 163-173页

作者： O.M.Kwon J.W.Kwon S.H.Kim School of Electrical Engineering Chungbuk National University410 SungBong-RoHeungduk-guCheongju 361-763Republic of Korea Department of Computer Engineering Kyungwon UniversitySan 65Sujung-guSungnam 461-701Republic of Korea School of Integrated Technology College of EngineeringYonsei University50 Yonsei-RoSeodaemun-guSeoul 120-749Republic of Korea

In this paper, the problem of stability analysis for neural networks with time-varying delays is considered. By constructing a new augmented Lyapunov-Krasovskii＇s functional and some novel analysis techniques, improved delaydependent criteria for checking the stability of the neural networks are established. The proposed criteria are presented in terms of linear matrix inequalities （LMIs） which can be easily solved and checked by various convex optimization algorithms. Two numerical examples are included to show the superiority of our results.

关键词： neural networks time-varying delays stability Lyapunov method

Adaptive Tracking Control of Uncertain MIMO Nonlinear Systems with time-varying delays and Unmodeled Dynamics

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International Journal of Automation and computing 2013年第3期10卷 194-201页

作者： Xiao-Cheng Shi Tian-Ping Zhang Department of Automation College of Information Engineering Yangzhou University

In this paper, adaptive neural tracking control is proposed based on radial basis function neural networks （RBFNNs） for a class of muki-input multi-output （MIMO） nonlinear systems with completely unknown control directions, unknown dynamic disturbances, unmodeled dynamics, and uncertainties with time-varying delay. Using the Nussbaum function properties, the unknown control directions are dealt with. By constructing appropriate Lyapunov-Krasovskii functionals, the unknown upper bound functions of the time-varying delay uncertainties are compensated. The proposed control scheme does not need to calculate the integral of the delayed state functions. Using Young＇s inequality and RBFNNs, the assumption of unmodeled dynamics is relaxed. By theoretical analysis, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded.

关键词： Adaptive control unmodeled dynamics time-varying delays neural networks Nussbaum function

Stability analysis of Markovian jumping stochastic Cohen Grossberg neural networks with discrete and distributed time varying delays

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Chinese Physics B 2014年第6期23卷 131-137页

作者： M.Syed Ali Department of Mathematics Thiruvalluvar University

In this paper, the global asymptotic stability problem of Markovian jumping stochastic Cohen-Grossberg neural networks with discrete and distributed time-varying delays （MJSCGNNs） is considered. A novel LMI-based stability criterion is obtained by constructing a new Lyapunov functional to guarantee the asymptotic stability of MJSCGNNs. Our results can be easily verified and they are also less restrictive than previously known criteria and can be applied to Cohen-Grossberg neural networks, recurrent neural networks, and cellular neural networks. Finally, the proposed stability conditions are demonstrated with numerical examples.

关键词： Cohen-Grossberg neural networks global asymptotic stability linear matrix inequality Lyapunovfunctional time-varying delays

H∞ synchronization of chaotic neural networks with time-varying delays

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Chinese Physics B 2013年第11期22卷 244-252页

作者： O. M. Kwon M. J. Park Ju H. Park S. M. Lee E. J. Cha School of Electrical Engineering Chungbuk National University Department of Electrical Engineering Yeungnam University School of Electronic Engineering Daegu University Department of Biomedical Engineering School of Medicine Chungbuk National University

In this paper, we investigate the problem of H∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov–Krasovskii functional and using a reciprocally convex approach, a novel H∞ synchronization criterion for the networks concerned is established in terms of linear matrix inequalities （LMIs） which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed method.

关键词： chaotic neural networks time-varying delays H∞ synchronization Lyapunov method

Improved Conditions for Global Asymptotic Stability of Cohen-Grossberg Neural Networks with time-varying delays

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Chinese Physics Letters 2008年第11期25卷 3894-3897页

作者：陈君崔宝同高明 College of Communication and Control Engineering Jiangnan University Wuxi 214122

The global asymptotic stability of delayed Cohen-Grossberg neural networks with impulses is investigated. Based on the new suitable Lyapunov functions and the Jacobsthal inequality, a set of novel sufficient criteria are derived for the global asymptotic stability of Cohen-Grossberg neural networks with time-varying delays and impulses. An illustrative example with its numerical simulations is given to demonstrate the effectiveness of the obtained results.

关键词： Global Asymptotic Stability of Cohen--Grossberg Neural Networks time-varying delays