On LaSalle's invariance principle and its application to robust synchronization of general vector Liénard equations

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Original languageEnglish
Pages (from-to)869-874
Journal / PublicationIEEE Transactions on Automatic Control
Issue number6
Publication statusPublished - Jun 2005


A functional version of LaSalle's invariance principle is derived, i.e., rather than the usual pointwise Lyapunov-like functions it uses specially constructed functionals along system trajectories. This modification enables the principle to handle even nonautonomous systems to which the classical LaSalle's principle is not directly applicable. The new theoretical results are then used to study robust synchronization of general Liénard type of systems. The developed technique is finally applied to chaotic oscillators synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology. © 2005 IEEE.

Research Area(s)

  • Chaos synchronization, Duffing oscillator, LaSalle's invariance principle, Liénard equation, Lyapunov functional, Nonautonomous dynamical system