A universal formula for the stabilization of control stochastic differential equations

1 January 1993

journal article
research article
Published by Taylor & Francis 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’ construction of Artstein's theorem on nonlinear stabilization
Published by Elsevier ,2003
Stabilization with relaxed controls
Published by Elsevier ,2002
A universal formula for stabilization with bounded controls
Systems & Control Letters, 1991
Feedback Stabilization of Nonlinear Systems
Published by Springer Nature ,1990
Sufficient lyapunov-like conditions for stabilization
Mathematics of Control, Signals, and Systems, 1989
Stabilizabiltty of certain stochastic systems
International Journal of Systems Science, 1986
Stabilization of a class of nonlinear systems by a smooth feedback control
Systems & Control Letters, 1985
A Lyapunov-Like Characterization of Asymptotic Controllability
SIAM Journal on Control and Optimization, 1983
On the Synthesis of a Stabilizing Feedback Control via Lie Algebraic Methods
SIAM Journal on Control and Optimization, 1980
Controllability and stability
Journal of Differential Equations, 1978