Synchronization of chaotic systems under sampled-data control

Theesar, S. Jeeva Sathya; Banerjee, Santo; Balasubramaniam, P.

doi:10.1007/s11071-012-0590-0

Cited by 45 publications

(15 citation statements)

References 26 publications

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“…Hence, many important and interesting control methods have been established for the master-slave synchronization of Lur'e systems, such as feedback control [22,23], fuzzy control [31,32], fuzzy impulsive control [33]. However, with the high-speed development of the modern high-speed computer technology, microelectronics and communication networks, the best way is to use digital controllers instead of analog circuits [28][29][30][33][34][35][36][37][38][39]. The advantage of this method lies in only needing the samples of the state variables of the master-slave chaotic systems at discrete time instants via sampleddata controllers.…”

Section: Introductionmentioning

confidence: 99%

Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

et al. 2015

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This paper proposes a novel approach to study the problem of master-slave synchronization for chaotic delayed Lur'e systems with sampled-data feedback control. Specifically, first, it is assumed that the sampling intervals are randomly variable but bounded. By getting the utmost out of the usable information on the actual sampling pattern and the nonlinear part condition, a newly augmented Lyapunov-Krasovskii functional is constructed via a more general delay-partition approach. Second, in order to obtain less conservative synchronization criteria, a novel integral inequality is developed by the mean of the new adjustable parameThis work was supported by National

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Section: Introductionmentioning

confidence: 99%

Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

et al. 2015

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“…The realization of OGY (Ott-Grebogi-Yorker) chaos-control method [1] and PC (Pecora and Carroll) synchronization method [2] has been attracting researchers' attention since the 1990s. Chaos synchronization [3][4][5][6][7][8][9][10][11][12][13] is of great practical significance and has aroused great interest in recent years.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Tolerant Synchronization Analysis with Propagation Delay and Actuator Faults

Qunli

2015

Mathematical Problems in Engineering

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The criteria for tolerant synchronization with a constant propagation delay and actuator faults are presented by using matrix analysis techniques. A new algorithm, which constructs the extended error systems in order to make the conservation of the stability lower, is proposed. Based on proper Lyapunov-Krasovskii functional, the novel delay-dependent fault tolerant synchronization analyses are derived. Finally, numerical examples show the effectiveness of the proposed method.

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“…In [36], Wu et al investigated the synchronization problem of neural networks with time-varying delay under sampleddata control in the presence of a constant input delay. In [37], by using sampled-data controller, the global synchronization of the chaotic Lur' e systems is discussed and sufficient conditions are obtained in terms of effective synchronization linear matrix inequality by constructing the new discontinuous Lyapunov functionals. Wu et al studied the sampled-data synchronization for Markovian jump neural networks with time-varying delay; some new and useful synchronization conditions in the framework of the input delay approach and the linear matrix inequality technique are derived in [38].…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data

Li¹,

Guo²

2014

Abstract and Applied Analysis

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The exponential synchronization issue for stochastic neural networks (SNNs) with mixed time delays and Markovian jump parameters using sampled-data controller is investigated. Based on a novel Lyapunov-Krasovskii functional, stochastic analysis theory, and linear matrix inequality (LMI) approach, we derived some novel sufficient conditions that guarantee that the master systems exponentially synchronize with the slave systems. The design method of the desired sampled-data controller is also proposed. To reflect the most dynamical behaviors of the system, both Markovian jump parameters and stochastic disturbance are considered, where stochastic disturbances are given in the form of a Brownian motion. The results obtained in this paper are a little conservative comparing the previous results in the literature. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

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Synchronization of chaotic systems under sampled-data control

Cited by 45 publications

References 26 publications

Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

Chaotic Tolerant Synchronization Analysis with Propagation Delay and Actuator Faults

Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data

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