Total stability of sets for nonautonomous differential systems-Reference-Cited by-同舟云学术

Total stability of sets for nonautonomous differential systems

Published:1986 Issue:2 Volume:295 Page:649-663
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Athanassov Zhivko S.

Abstract

The principal purpose of this paper is to present sufficient conditions for total stability, or stability under constantly acting perturbations, of sets of a sufficiently general kind for nonautonomous ordinary differential equations. To do this, two Liapunov-like functions with specific properties are used. The obtained results include and considerably improve the classical results on total stability of isolated equilibrium points. Applications are presented to study the stability of nonautonomous Lurie-type nonlinear equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-295-02/S0002-9947-1986-0833701-9/S0002-9947-1986-0833701-9.pdf

Reference27 articles.

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3. On the stability of motion;Matrosov, V. M.;J. Appl. Math. Mech.,1963

4. Applied Mathematical Sciences, Vol. 22;Rouche, Nicolas,1977

5. G. N. Duboshin, The problem of the stability of motion under persistently acting perturbations, Trudy Gos. Astr. Inst. Sternberg 14 (1940), no. 1.

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