Lyapunov direct method for semidynamical systems


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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.

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B. Kalitine

Belarusian State University

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Email: Kalitine@yandex.ru
白俄罗斯, Minsk

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