0342104 20240111140739.020100413235959.9 000275981000015 9 s. cav_un_epca*02567760218-12741912 (2009)4253-4261World Scientific Publishing Chaos synchronization LaSalle invariance principle Lineared equation cav_un_auth*0212923 Chen G. HK cav_un_auth*0101074 Čelikovský Sergej Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0213189 Zhou J. CN textový dokument 202 kB GA102/08/0186 GA ČR CZ cav_un_auth*0239127 LA09026 GA MŠk cav_un_auth*0253177 CEZ:AV0Z10750506 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. 2011 BC http://hdl.handle.net/11104/0184928 1.279 0.113 7.4 0.01073 0.382 4631 230 63 0.640 25.75 1.04 2009 000275981000015 WOS textový dokument 202 kB cav_un_epca*0256776 International Journal of Bifurcation and Chaos 0218-1274 1793-6551 Roč. 19 č. 12 2009 4253 4261 World Scientific Publishing