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In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some new sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential...
In this study, the synchronization of chaotic neural networks with time-varying delay is developed based on parameter identification and sliding model control. Under the framework of master/slave chaotic neural networks, recurrent neural network, is developed to accommodate the on-line synchronization, which the weights of the neural network are iteratively and adaptively updated through the error...
In this paper, a new adaptive feedback control scheme is proposed for a class of anti-synchronization uncertain time-varying chaotic systems. This adaptive anti-synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is given. The control scheme is successfully applied to two examples: Josephson junction...
This paper is concerned with the networked synchronization control problem of coupled dynamic networks (CDNs) with time-varying delay. First, both the data packet dropouts and network-induced delays are taken into account in the synchronization controller design. A Markovian jump process is induced to describe the packet dropouts. The network-induced delays are interval time varying and depend on...
In this paper, we study the locally controlled synchronization of dynamical networks by introducing a distributed controller which has a different network structure from the original network. We refer to this configuration as a feedback network. To reflect practical reality, a cost function is considered to constrain the controller. Then based on the master stability function method, the constrained...
In this paper we give a new sufficient condition for master-slave synchronization of piecewise affine (PWA) systems. Using a Lyapunov approach and the so-called S-procedure, we show that the synchronization problem can be solved as an optimization problem subject to a set of linear matrix inequalities (LMIs) for which the slave state-feedback controller is designed efficiently. A mechanical system...
This paper presents a general impulsively-coupled complex dynamical network (ICCDN) model with parametric uncertainty and time-varying delays. Robust synchronization of the ICCDN with uncertainty and delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for the ICCDN with uncertainty and delays are obtained. A systematic-design procedure is presented,...
This paper deals with the exponential synchronization problem for a class of dynamical delayed complex networks with each node being a general Lur'e system. The network model considered can represent both the directed and undirected weighted networks. Based on the Lyapunov stability theory and property of the coupling matrix, the delay-dependent linear controllers are designed and the controlled networks...
In the current paper, exponential synchronization is discussed for chaotic neural networks with time-varying delays. Based on Lyapunov stability theory and linear matrix inequality (LMI), a nonlinear feedback control scheme is designed to synchronize the drive system and the response one. The obtained sufficient conditions are in the forms of LMI, so much easier to verify. Moreover, numerical simulation...
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