A Lyapunov Function Proof of Poincaré's Theorem

One of the most fundamental results in analysing the stability properties of periodic orbits and limit cycles of dynamical systems is Poincaré's theorem. The proof of this result involves system analytic arguments along with the Hartman-Grobman theorem. Using the notions of stability of sets, lower...

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Journal Title: International Journal of Systems Science Vol. 35; no. 5; pp. 287 - 292
Authors: W.M. Haddad, V. Chellaboina, S.G. Haddad
Format: Article
Published: 04/20/2004
Online Access: Full Text