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global synchronization of general delayed complex networks with stochastic disturbances

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Chinese Physics B 2011年第3期20卷 74-80页

作者：涂俐兰 Hubei Province Key Laboratory of Systems Science in Metallurgical Process Wuhan University of Science and Technology

In this paper, global synchronization of general delayed complex networks with stochastic disturbances, which is a zero-mean real scalar Wiener process, is investigated. The networks under consideration are continuous-time networks with time-varying delay. Based on the stochastic Lyapunov stability theory, Ito＇s differential rule and the linear matrix inequality （LMI） optimization technique, several delay-dependent synchronous criteria are established, which guarantee the asymptotical mean-square synchronization of drive networks and response networks with stochastic disturbances. The criteria are expressed in terms of LMI, which can be easily solved using the Matlab LMI Control Toolbox. Finally, two examples show the effectiveness and feasibility of the proposed synchronous conditions.

关键词： global synchronization general delayed complex networks with stochastic disturbances linear matrix inequality mean-square stability

global synchronization of discrete-time coupled neural networks with Markovian switching and impulses

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International Journal of Biomathematics 2016年第3期9卷 157-176页

作者： Jie Tan Chuandong Li College of Electronic and Information EngineeringSouthwest University Chongqing 400715 P. R. China College of Mathematics and PhysicsChongqing University of Science and Technology Chongqing 401331 P. R. China

This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to：（1） the jump- ing parameters that are modeled as a continuous-time, discrete-state Markov process; （2） impulsive disturbances; and （3） time delays that include both the mode-dependent discrete and distributed delay. By constructing suitable Lyapuno-Krasovskii functional and combining with linear matrix inequality approach, several novel criteria are derived for verifying the global exponential synchronization in the mean square of such stochas- tic dynamical networks. The derived conditions are established in terms of linear matrix inequalities, which can be easily solved by some available software packages. A simu- lation example is presented to show the effectiveness and applicability of the obtained results,

关键词： global synchronization coupled neural networks Markovian switching impulses.

global synchronization of Chua＇s chaotic delay network by using linear matrix inequality

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Chinese Physics B 2004年第8期13卷 1221-1225页

作者：李智施颂椒 DepartmentofAutomaticControlEngineering XidianUniversityXi'an710071China DepartmentofAutomation ShanghaiJiaotongUniversityShanghai200030China

global synchronization of Chua's chaotic dynamical networks with coupling delays is investigated in this *** other approaches, where only local results were obtained, the network is found to be not linearized in this ***, the global synchronization is obtained by using the linear matrix inequality theory. Moreover, some quite simple linear-state-error feedback controllers for global synchronization are derived, which can be easily constructed based on the minimum eigenvalue of the coupling matrix. A simulation of Chua's chaotic network with global coupling delays in nodes is finally given, which is used to verify the theoretical results of the proposed global synchronization scheme.

关键词： global synchronization Chua's chaotic network coupling delays linear matrix inequality

global synchronization of nonlinearly coupled Lur'e networks via adaptive feedback control

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Global synchronization of nonlinearly coupled Lur'e networks...

第32届中国控制与决策会议

作者： Yue Gao Dong Ding Ze Tang School of Internet of Things Engineering Jiangnan University Engineering Research Center of Internet of Things Technology Applications (Ministry of Education) Jiangnan University

In this paper,the global synchronization problem of a class of nonlinearly coupled Lur’e networks is focused under adaptive pinning *** on the Lyapunov stability theorem,Lipschitz condition and linear matrix inequal?ity,it will be proved that this kind of complex networks can be pinned to a homogenous ***,sufficient conditions for the global synchronization of the nonlinearly coupled complex networks can be derived in view of some linearization methods and *** on the designed adaptive updating laws,some suitable control gains will be *** numerically simulated example of the theoretical results is given.

关键词： Adaptive control global synchronization Nonlinear coupling Pinning control Lur’e networks

global synchronization of Coupled Genetic Oscillators with Distributed Delay

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Global Synchronization of Coupled Genetic Oscillators with D...

第三十届中国控制会议

作者： RENFengli,ZHAO Hongyong Nanjing University of Aeronautics and Astronautics,Nanjing 210016,P.R.China

＜正＞In this paper,the synchronization problem for the collective dynamics among genetic oscillators with distributed delay is *** dynamical system under consideration consists of an array of linearly coupled identical genetic oscillators with each oscillators having distributed *** using a combination of the Lyapunov functional method,matrix inequality techniques and properties of Kronecker product,we derive several sufficient conditions that ensure the coupled genetic oscillators to be *** criteria obtained in this paper are in the form of matrix inequalities.

关键词： global synchronization Genetic oscillators Distributed delay Matrix inequality

global synchronization of Complex Lur’e Networks

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Global Synchronization of Complex Lur’e Networks

第二十六届中国控制会议

作者： Li Zhongkui,Duan Zhisheng,Huang Lin State Key Lab for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University,Beijing 100871,P.R.China

This paper concerns the global synchronization problem of a class of complex dynamical networks with each node being a Lur’e system whose nonlinearity satisfying a slope *** synchronization problem is reformulated in the framework of the absolute stability *** is shown that the global synchronization of the network can be reduced to the test of a LMI,which in turn guarantees the absolute stability of the corresponding Lur’e system whose dimension is the same as that of a single node.A circle type criterion in frequency domain is further presented,in virtue of which the synchronization of the network can be checked *** is demonstrated that the synchronizabiliby of the network can be characterized by the second largest eigenvalue of its coupling ***,a network of Chua’s oscillators is provided as a simulation example to illustrate the effectiveness of the theoretical results.

关键词： Complex dynamical network Lur’e system global synchronization Circle type criterion Linear matrix inequality (LMI)

Chaos synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control

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Chinese Physics Letters 2006年第6期23卷 1406-1409页

作者：沈建和陈树辉蔡建平 Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275

global chaos synchronization of two identical nonlinear transducer systems is investigated via linear state error feedback control. The sufficient criterion for global chaos synchronization is derived firstly by the Gerschgorin disc theorem and the stability theory of linear time-varied systems. Then this sufficient criterion is further optimized in the sense of reducing the lower bounds of the coupling coefficients with two methods, one based on Gerschgorin disc theorem itself and the other based on Lyapunov direct method. Finally, two optimized criteria are compared theoretically.

关键词： global synchronization SECURE COMMUNICATION ACTIVE CONTROL

Adaptive pinning synchronization on nonlinearly coupled complex networks with an asymmetrical matrix

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Adaptive pinning synchronization on nonlinearly coupled comp...

第32届中国控制与决策会议

作者： Deli Xuan Dong Ding Ze Tang School of Internet of Things Engineering Jiangnan University Engineering Research Center of Internet of Things Technology Applications (Ministry of Education) Jiangnan University

In this paper,the global synchronization problem for a kind of complex dynamical networks with nonlinearly coupled functions and an asymmetrical coupling matrix is investigated by using pinning *** designing the adaptive updating laws for the pinning feedback controller,some proper feedback control gains will be *** to the Lyapunov stability theorem and the projection method,sufficient conditions are obtained that ensure the realisation of the global synchronization for the complex dynamical network with different initial ***,the theoretical results are illustrated by a numerical experiment.

关键词： Complex networks Adaptive pinning control Nonlinearly coupled function global synchronization Asymmetrical couplings

synchronization Control in Arrays of Coupled Lur’e Type Networks with Nonlinear Delayed Coupling

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Synchronization Control in Arrays of Coupled Lur’e Type Net...

第二十九届中国控制会议

作者： LI Tao1,SONG Aiguo1,FEI Shumin21.School of Instrument Science and Engineering,Southeast University,Nanjing 210096,P.R.China 2.Key Laboratory of Measurement and Control of CSE(School of Automation,Southeast University),Ministry of Education,Nanjing210096,P.R.China

This paper deals with global synchronization in arrays of coupled Lur’e systems with nonlinear delayed *** with Krasovskii-Lyapunov functional and Kronecker product technique,two novel synchronization criteria are presented in terms of linear matrix inequalities（LMIs）based on convex combination,in which the conditions are heavily dependent on the bounds of time delay and its *** employing LMI in Matlab Toolbox and adjusting some matrix parameters in the derived results,we can realize the designing and applications of the coupled *** effectiveness of the proposed methods can be demonstrated by one numerical example with simulations.

关键词： Lur’e Systems global synchronization Time-varying Delay Nonlinear Coupling LMI Approach