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On a functional lasalle principle with application to chaos synchronization
- 1.0342104 - ÚTIA 2011 RIV SG eng J - Journal Article
Chen, G. - Čelikovský, Sergej - Zhou, J.
On a functional lasalle principle with application to chaos synchronization.
International Journal of Bifurcation and Chaos. Roč. 19, č. 12 (2009), s. 4253-4261. ISSN 0218-1274. E-ISSN 1793-6551
R&D Projects: GA ČR(CZ) GA102/08/0186; GA MŠMT LA09026
Institutional research plan: CEZ:AV0Z10750506
Keywords : Chaos synchronization * LaSalle invariance principle * Lineared equation
Subject RIV: BC - Control Systems Theory
Impact factor: 0.918, year: 2009
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.
Permanent Link: http://hdl.handle.net/11104/0184928
Number of the records: 1