Lyapunov direct method for semidynamical systems


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Abstract

The stability of closed invariant sets of semidynamical systems defined on an arbitrary metric space is analyzed. The main theorems of Lyapunov’s second method for the uniform stability and uniform asymptotic stability (local and global) are stated. Illustrative examples are given.

About the authors

B. S. Kalitine

Belarusian State University

Author for correspondence.
Email: Kalitine@yandex.ru
Belarus, Minsk

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