Počet záznamů: 1

On a functional lasalle principle with application to chaos synchronization

  1. 1.
    0342104 - UTIA-B 2011 RIV SG eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR(CZ) GA102/08/0186; GA MŠk LA09026
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: Chaos synchronization * LaSalle invariance principle * Lineared equation
    Kód oboru RIV: BC - Teorie a systémy řízení
    Impakt faktor: 0.918, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0184928