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Shi, Xue Rong; Wang, Zuo Lei

Adaptive added-order anti-synchronization of chaotic systems with fully unknown parameters. (English) Zbl 1179.65158

Appl. Math. Comput. 215, No. 5, 1711-1717 (2009).
Summary: The authors investigate the chaos anti-synchronization between two different dimensional chaotic systems with fully unknown parameters via added-order. Based on the Lyapunov stability theory, the adaptive controllers with corresponding parameter update laws are designed such that the two different chaotic systems with different dimensions can be synchronized asymptotically. Finally, two illustrative numerical simulations are given to demonstrate the effectiveness of the proposed scheme.

Cited in 20 Documents

MSC:

65P20 Numerical chaos

Keywords:

added-order; anti-synchronization; adaptive control; unknown parameters; numerical examples; chaotic systems; Lyapunov stability
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\textit{X. R. Shi} and \textit{Z. L. Wang}, Appl. Math. Comput. 215, No. 5, 1711--1717 (2009; Zbl 1179.65158)
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