A universal formula for the stabilization of control stochastic differential equations
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis Ltd in Stochastic Analysis and Applications
- Vol. 11 (2), 155-162
- https://doi.org/10.1080/07362999308809308
Abstract
In this paper, we provide a formula for a stabilizing feedback law for control stochastic differential equations. This result extends Artstein's theorem to nonlinear control systems corrupted by noise.Keywords
This publication has 10 references indexed in Scilit:
- A universal formula for stabilization with bounded controlsSystems & Control Letters, 1991
- Feedback Stabilization of Nonlinear SystemsPublished by Springer Science and Business Media LLC ,1990
- Sufficient lyapunov-like conditions for stabilizationMathematics of Control, Signals, and Systems, 1989
- A ‘universal’ construction of Artstein's theorem on nonlinear stabilizationSystems & Control Letters, 1989
- Stabilizabiltty of certain stochastic systemsInternational Journal of Systems Science, 1986
- Stabilization of a class of nonlinear systems by a smooth feedback controlSystems & Control Letters, 1985
- Stabilization with relaxed controlsNonlinear Analysis, 1983
- A Lyapunov-Like Characterization of Asymptotic ControllabilitySIAM Journal on Control and Optimization, 1983
- On the Synthesis of a Stabilizing Feedback Control via Lie Algebraic MethodsSIAM Journal on Control and Optimization, 1980
- Controllability and stabilityJournal of Differential Equations, 1978