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Xingyuan, Wang; Yong, Wang

Parameter identification and adaptive synchronization control of a Lorenz-like system. (English) Zbl 1178.34049

Int. J. Mod. Phys. B 22, No. 15, 2453-2461 (2008).
Summary: This paper analyzes the synchronization control of new chaotic systems called Lorenz-like systems. Based on the Lyapunov stability theory, an adaptive controller and a parameter update rule are designed. It is proved that the controller and update rule not only achieve self-synchronization of Lorenz-like systems but can also make the Lorenz-like system asymptotically synchronized with the Rössler system, and further identify the uncertain system parameters. Numerical simulations have shown the effectiveness of the adaptive controller.

Cited in 2 Documents

MSC:

34C28 Complex behavior and chaotic systems of ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Keywords:

Lorenz-like system; adaptive controller; parameter update rule; synchronization
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References:

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