STABILITY AND STABILIZATION OF AUTONOMOUS SYSTEM ORBITS UNDER STOCHASTIC PERTURBATIONS

Authors
MILSHTEIN GN RYASHKO LB
Citation
Gn. Milshtein et Lb. Ryashko, STABILITY AND STABILIZATION OF AUTONOMOUS SYSTEM ORBITS UNDER STOCHASTIC PERTURBATIONS, Journal of applied mathematics and mechanics, 56(6), 1992, pp. 855-862
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
56
Issue
6
Year of publication
1992
Pages
855 - 862
Database
ISI
SICI code
0021-8928(1992)56:6<855:SASOAS>2.0.ZU;2-X
Abstract
Both the necessary and sufficient conditions for exponential orbital s tability in the mean square for periodic motions of stochastic systems are obtained, using the method of orbital Lyapunov functions. From th e sufficiency criteria an orbit stabilization method is given.