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Journal Article

On a functional lasalle principle with application to chaos synchronization

Chen G., Čelikovský Sergej, Zhou J.

: International Journal of Bifurcation and Chaos vol.19, 12 (2009), p. 4253-4261

: CEZ:AV0Z10750506

: GA102/08/0186, GA ČR, LA09026, GA MŠk

: Chaos synchronization, LaSalle invariance principle, Lineared equation

(eng): A functional version of the LaSalle invariance principle is introduced. Rather than the usual pointwise Lyapunov-like functions, this extended version of the principle uses specially constructed functionals along system trajectories. This modification enables the original principle to handle not only autonomous, but also some nonautonomous systems. The new theoretical result is used to study robust synchronization of general Li´enard-type nonlinear systems. The new technique is finally applied to coupled chaotic van der Pol oscillators to achieve synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology.

: BC

07.01.2019 - 08:39