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A unified approach to fuzzy modelling and robust synchronization of different hyperchaotic systems 总被引:2,自引:0,他引:2 下载免费PDF全文
In this paper, a Takagi Sugeno (T-S) fuzzy model-based method is proposed to deal with the problem of synchronization of two identical or different hyperchaotic systems. The T S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. The benefit of employing the T-S fuzzy models lies in mathematical simplicity of analysis. Based on the T-S fuzzy hyperchaotic models, two fuzzy controllers arc designed via parallel distributed compensation (PDC) and exact linearization (EL) techniques to synchronize two identical hyperchaotic systems with uncertain parameters and two different hyperchaotic systems, respectively. The sufficient conditions for the robust synchronization of two identical hyperchaotic systems with uncertain parameters and the asymptotic synchronization of two different hyperchaotic systems are derived by applying the Lyapunov stability theory. This method is a universal one of synchronizing two identical or different hyperchaotic systems. Numerical examples are given to demonstrate the validity of the proposed fuzzy model and hyperchaotic synchronization scheme. 相似文献
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We study the problems of stability and stabilization for Takagi-Sugeno (T-S) fuzzy time-delay systems. First, by constructing a less-redundant Lyapunov-Krasovskii function and introducing a useful inequality, an innovative stability criterion is obtained, which gives a significant improvement on the performance. Compared with the exiting references, our result can use fewer unknown variables and get better results. Furthermore, based on the derived stability criteria, a new stabilization condition is developed, in which the controller gain and the maximum allowable delay bound can be obtained simultaneously. The conditions are all derived in the form of linear matrix inequality, which are easy to verify. Finally, numerical examples are given to show the effectiveness of the proposed methods. 相似文献
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We study the problems of stability and stabilization for Takagi-Sugeno(T-S) fuzzy time-delay systems.First,by constructing a less-redundant Lyapunov-Krasovskii function and introducing a useful inequality,an innovative stability criterion is obtained,which gives a significant improvement on the performance.Compared with the exiting references,our result can use fewer unknown variables and get better results.Furthermore,based on the derived stability criteria,a new stabilization condition is developed,in which the controller gain and the maximum allowable delay bound can be obtained simultaneously.The conditions are all derived in the form of linear matrix inequality,which are easy to verify.Finally,numerical examples are given to show the effectiveness of the proposed methods. 相似文献
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Generating Li-Yorke chaos in a stable continuous-time T-S fuzzy model via time-delay feedback control 下载免费PDF全文
This paper investigates the chaotification problem of a stable continuous-time T-S fuzzy system.A simple nonlinear state time-delay feedback controller is designed by parallel distributed compensation technique.Then,the asymptotically approximate relationship between the controlled continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system is established.Based on the discrete-time T-S fuzzy system,it proves that the chaos in the discretetime T-S fuzzy system satisfies the Li-Yorke definition by choosing appropriate controller parameters via the revised Marotto theorem.Finally,the effectiveness of the proposed chaotic anticontrol method is verified by a practical example. 相似文献
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Multiple stability for two-dimensional delayed recurrent neural networks with piecewise linear activation functions of 2r(r≥1) corner points is studied. Sufficient conditions are established for checking the existence of (2r+1)2 equilibria in delayed recurrent neural networks. Under these conditions, (r+1)2 equilibria are locally exponentially stable, and (2r+1)2-(r+1)2-r2 equilibria are unstable. Attractive basins of stable equilibria are estimated, which are larger than invariant sets derived by decomposing state space. One example is provided to illustrate the effectiveness of our results. 相似文献
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Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise 下载免费PDF全文
This paper is concerned with the problem of robust stability for a
class of Markovian jumping stochastic neural networks (MJSNNs)
subject to mode-dependent time-varying interval delay and
state-multiplicative noise. Based on the Lyapunov--Krasovskii functional
and a stochastic analysis approach, some new delay-dependent
sufficient conditions are obtained in the linear matrix inequality
(LMI) format such that delayed MJSNNs are globally asymptotically
stable in the mean-square sense for all admissible uncertainties. An
important feature of the results is that the stability criteria are
dependent on not only the lower bound and upper bound of delay for all
modes but also the covariance matrix consisting of the correlation
coefficient. Numerical examples are given to illustrate the
effectiveness. 相似文献