Finite‐time l2 − l∞ synchronization for discrete‐time nonlinear chaotic systems via information‐constrained delayed feedback

Publisher： John Wiley & Sons Inc

E-ISSN： 1099-0526|21|1|138-146

ISSN： 1076-2787

Source： COMPLEXITY (ELECTRONIC), Vol.21, Iss.1, 2015-09, pp. : 138-146

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Abstract

This article is concerned with the problem of finite‐time l2−l∞ synchronization control for a class of discrete‐time nonlinear chaotic systems under unreliable communication links. Our aim is to design a delayed feedback controller such that the resulting synchronization error system is stochastically finite‐time bounded with a guaranteed l2−l∞ performance level over a finite time interval. Some sufficient conditions for the solvability of the above problem are established. A delayed feedback control scheme involving constrained information about the past state is presented. Finally, the Fold chaotic system is used to demonstrate the effectiveness of our proposed approach. © 2014 Wiley Periodicals, Inc. Complexity 21: 138–146, 2015