Stability and stabilization of autonomous system orbits under stochastic perturbations

DOI10.1016/0021-8928(92)90089-QzbMath0793.34044MaRDI QIDQ1315556

L. B. Ryashko, G. N. Mil'shtejn

Publication date: 22 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

exponential stabilityLyapunov functionswhite noisevan der Pol equationautonomous differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05)

Related Items

A first approximation of the quasipotential in problems of the stability of systems with random nondegenerate perturbations ⋮ The stability of stochastically perturbed orbital motions

Cites Work

• Stabilization of linear stochastic systems with state and control dependent perturbations
• Generalized resolutions of the identity for symmetric ordinary differential operators
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