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ASYMPTOTIC STABILITY IN GENERAL DYNAMICAL SYSTEMS
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 Title & Authors
ASYMPTOTIC STABILITY IN GENERAL DYNAMICAL SYSTEMS
Lim, Young-Il; Lee, Kyung-Bok; Park, Jong-Soh;
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 Abstract
In this paper we characterize asymptotic stability via Lyapunov function in general dynamical systems on c-first countable space. We give a family of examples which have first countable but not c-first countable, also c-first countable and locally compact space but not metric space. We obtain several necessary and sufficient conditions for a compact subset M of the phase space X to be asymptotic stability.
 Keywords
C-first countable space;asymptotic stability;general dynamical systems;Lyapunov function and strict Lyapunov function;
 Language
English
 Cited by
 References
1.
N. P. Bhatia and G. P. Szego, Dynamical systems : Stability theory and applications, Lecture Notes in Math., Springer Verlag (1976)

2.
Desberg Li, On dynamical stability in general dynamical systems, J. Math. Anal. Appl. 263 (2001), 455–478

3.
L. A. Steen and J. A. Seebach, Counterexamples in topology, Holt. Rinehart and Winston. Inc (1970)

4.
L. A. Steen and J. A. Seebach, Counterexamples in topology, Holt. Rinehart and Winston. Inc (1970)