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.
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Original Russian Text © B. S. Kalitine, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 531–543.
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Kalitine, B.S. Lyapunov direct method for semidynamical systems. Math Notes 100, 550–560 (2016). https://doi.org/10.1134/S0001434616090261
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DOI: https://doi.org/10.1134/S0001434616090261