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A CHARACTERIZATION OF ASYMPTOPIC STABILITY IN DYNAMICAL POLYSYSTEMS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2000, v.7 no.2, pp.129-135
Goo, Yoon-Hoe
(DEPARTMEN OF MATHEMAICS, HANSEO UNIVERSITY)
Goo, Yoon-Hoe.
(2000). A CHARACTERIZATION OF ASYMPTOPIC STABILITY IN DYNAMICAL POLYSYSTEMS, 7(2), 129-135.
Abstract
We show that a compact subset M of X is asymptotically stable if and only if a strict Lyapunov function of M exists.
- keywords
- asymptotically stable, strict Lyapunov function
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