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A new approach to stability analysis of neural networks with time-varying delay via novel lyapunov-krasovskii functional

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Chinese Physics B 2010年第5期19卷 115-120页

作者： S.M.Lee O.M.Kwon Ju H.Park Department of Electronic Engineering Daegu UniversityGyungsanGyungbuk 712-714Republic of Korea College of Electrical and Computer Engineering 410 SungBong-RoHeungduk-GuChungbuk National UniversityCheongju 361-763Republic of Korea Nonlinear Dynamics Group Department of Electrical EngineeringYeungnam University214-1 Dae-DongKyongsan 712-749Republic of Korea

In this paper, new delay-dependent stability criteria for asymptotic stability of neural networks with time-varying delays are derived. The stability conditions are represented in terms of linear matrix inequalities （LMIs） by constructing new lyapunov-krasovskii functional. The proposed functional has an augmented quadratic form with states as well as the nonlinear function to consider the sector and the slope constraints. The less conservativeness of the proposed stability criteria can be guaranteed by using convex properties of the nonlinear function which satisfies the sector and slope bound. Numerical examples are presented to show the effectiveness of the proposed method.

关键词： neural networks lyapunov-krasovskii functional sector bound time-delay

Stability condition for T-S fuzzy systems with time delay via novel lyapunov-krasovskii functional

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Stability condition for T-S fuzzy systems with time delay vi...

Delay-dependent asymptotic stability of mobile ad-hoc networks:A descriptor system approach

第37届中国控制会议

作者： Xin Zhao Huanxia Liu Chong Lin Bing Chen Institute of Complexity Science Qingdao University

This paper aims to study problem of the delay-dependent stability analysis for T-S fuzzy systems with time delay.A novel lyapunov-krasovskii functional is proposed to investigate stability problem of T-S fuzzy systems with time *** Wirtinger inequality is employed to estimated functional cross terms of derivative of the lyapunov-krasovskii functional,and free weighting matrix is also employed for stability *** condition can be obtained within the form of linear matrix inequalities（LMIs）.Several numerical examples are given to demonstrate the advantage and effectiveness of the proposed method by comparing maximum delay bounds with some recent works.

关键词： Takagi-Sugenos fuzzy model Time delay lyapunov-krasovskii functional Stability

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Chinese Physics B 2014年第7期23卷 293-302页

作者：杨娟杨丹黄彬张小洪罗建禄 College of Communication Engineering Chongqing University The 3rd Department People's Liberation Army Chongqing Communication Institute School of Software Engineering Chongqing University Foundation department People's Liberation ArmyChongqing Communication College The Department of Electronic Technology People's Armed PolicePolice College

In order to analyze the capacity stability of the time-varying-propagation and delay-dependent of mobile ad-hoc networks （MANETs）, in this paper, a novel approach is proposed to explore the capacity asymptotic stability for the delay- dependent of MANETs based on non-cooperative game theory, where the delay-dependent conditions are explicitly taken into consideration. This approach is based on the lyapunov-krasovskii stability theory for functional differential equations and the linear matrix inequality （LMI） technique. A corresponding lyapunov-krasovskii functional is introduced for the stability analysis of this system with use of the descriptor and ＂neutral-type＂ model transformation without producing any additional dynamics. The delay-dependent stability criteria are derived for this system. Conditions are given in terms of linear matrix inequalities, and for the first time referred to neutral systems with the time-varying propagation and delay- dependent stability for capacity analysis of MANETs. The proposed criteria are less conservative since they are based on an equivalent model transformation. Furthermore, we also provide an effective and efficient iterative algorithm to solve the constrained stability control model. Simulation experiments have verified the effectiveness and efficiency of our algorithm.

关键词： stability control of capacity lyapunov-krasovskii functional time delay-dependent descriptor

Semi-Global Stabilization via Homogeneous Output Feedback for a Class of Nonlinear Time-Delay Systems

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Journal of Systems Science & Complexity 2016年第6期29卷 1538-1552页

作者： WANG Pan CHAI Lin FEI Shumin Key Laboratory of Measurement and Control of Complex Systems of Engineering Ministry of Education School of Automation Southeast University

The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using lyapunov-krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.

关键词： Homogeneous domination approach lyapunov-krasovskii functional nonlinear time-delay systems output feedback semi-global.

Improved delay-dependent globally asymptotic stability of delayed uncertain recurrent neural networks with Markovian jumping parameters

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Chinese Physics B 2010年第6期19卷 154-161页

作者：籍艳崔宝同 School of Communication and Control Engineering Jiangnan University

In this paper, we have improved delay-dependent stability criteria for recurrent neural networks with a delay varying over a range and Markovian jumping parameters. The criteria improve over some previous ones in that they have fewer matrix variables yet less conservatism. In addition, a numerical example is provided to illustrate the applicability of the result using the linear matrix inequality toolbox in MATLAB.

关键词： recurrent neural networks time-varying delays linear matrix inequality lyapunov-krasovskii functional Markovian jumping parameters

Robust asymptotic stability for BAM neural networks with time-varying delays via LMI approach

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Applied Mathematics(A Journal of Chinese Universities) 2009年第3期24卷 282-290页

作者： LIU Jia ZONG Guang-deng ZHANG Yun-xi Research Institute of Automation Qufu Normal University Qufu 273165 China School of Automation Nanjing University of Science & Technology Nanjing 210064 China

Several novel stability conditions for BAM neural networks with time-varying delays are *** on lyapunov-krasovskii functional combined with linear matrix inequality approach,the delay-dependent linear matrix inequality（LMI） conditions are established to guarantee robust asymptotic stability for given delayed BAM neural *** criteria can be easily verified by utilizing the recently developed algorithms for solving LMIs.A numerical example is provided to demonstrate the effectiveness and less conservatism of the main results.

关键词： robust asymptotic stability bidirectional associative memory (BAM) neural networks timevarying delays linear matrix inequality(LMI) lyapunov-krasovskii functional

New stability conditions of delayed neural networks via improved lyapunov-krasovskii functionals

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New stability conditions of delayed neural networks via impr...

Control Schemes for Passive Teleoperation Systems over Wide Area Communication Networks with Time Varying Delay

第32届中国控制与决策会议

作者： Huichao Lin Hongbing Zeng School of Electrical and Information Engineering Hunan University of Technology

This paper studies the delay-dependent stability problems of neural networks with ***,in order to make the constructed function contain more useful information,this paper introduces three types of lyapunovkrasovskii functional terms to construct an improved lyapunov-krasovskii ***,based on the improved lyapunov-krasovskii functional and reciprocal convex integral inequalities,some less conservative stability criteria are derived for the considered neural ***,a well-known numerical example is provided to demonstrate the superiority of the proposed stability criteria.

关键词： Neural networks Stability analysis Time-varying delay lyapunov-krasovskii functional

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International Journal of Automation and computing 2014年第1期11卷 100-108页

作者： Shafiqul Islam Xiaoping P.Liu Abdulmotaleb El Saddik Lakmal Seneviratne Jorge Dias School of Information Technology and Engineering University of Ottawa School of Engineering and Applied Sciences Harvard University Robotics and Mechanical Engineering Khalifa University of Science & Technology Department of Systems and Computer Engineering Carleton University Electrical Engineering New York University Division of Engineering Kings College London Robotics and Electrical and Computer Engineering Khalifa University of Science & Technology Institute of Systems and Robotics University of Coimbra

In this paper,the problem of time varying telecommunication delays in passive teleoperation systems is *** design comprises delayed position,velocity and position-velocity signals with the local position and velocity signals of the master and slave *** adaptive control terms are employed locally to cope with uncertain parameters associated with the gravity loading vector of the master and slave ***-krasovskii function is employed for three methods to establish asymptotic tracking property of the closed loop teleoperation *** stability analysis is derived for both symmetrical and unsymmetrical time varying delays in the forward and backward communication channel that connects the local and remote ***,evaluation results are presented to illustrate the efectiveness of the proposed design for real-time applications.

关键词： Teleoperation telerobotics lyapunov-krasovskii functional time varying delay passive systems

Novel Non-monotonic lyapunov-krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

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International Journal of Automation and computing 2020年第5期17卷 713-732页

作者： Younes Solgi Alireza Fatehi Ala Shariati APAC Research Group Industrial Control Center of ExcellenceFaculty of Electrical EngineeringK.N.Toosi University of TechnologyTehran ***Iran

This paper proposes a novel less-conservative non-monotonic lyapunov-krasovskii stability approach for stability analysis of discrete time-delay *** this method,monotonically decreasing requirements of the lyapunov-krasovskii method are replaced with non-monotonic *** lyapunov-krasovskii functional is allowed to increase in some steps,but the overall trend should be *** model of practical systems used for stability analysis usually contain ***,firstly a non-monotonic stability condition is derived for certain discrete time-delay systems,then robust non-monotonic stability conditions are proposed for uncertain ***,a novel stabilization algorithm is derived based on the introduced non-monotonic stability *** lyapunov-krasovskii functional and the controller are obtained by solving a set of linear matrix inequalities(LMI)or iterative LMI based nonlinear *** proposed theorems are first evaluated by some numerical examples,and then by simulation and implementation on the pH neutralizing process plant.

关键词： lyapunov-krasovskii functional discrete state-delay systems non-monotonic lyapunov function robust stability stabilization