On global Lyapunov functions of nonlinear autonomous systems

X. A. Wang, W. Dayawansa

Research output: Contribution to journalConference article

4 Scopus citations

Abstract

In this paper we study a method for constructing Lyapunov functions defined on the whole region of attraction of an exponentially stable equilibrium point of nonlinear autonomous systems. The method involves solving a partial differential equation. We prove that a solution exists in the region of attraction. When the eigenvalues of the linearization of the system are non-resonant, a power series solution can be found, and its region of convergence can be used to determine the region of attraction.

Original languageEnglish
Pages (from-to)1635-1639
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
StatePublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

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