论文信息 - A universal formula for the stabilization of control stochastic differential equations - 字舞流文

A universal formula for the stabilization of control stochastic differential equations

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.

[1] V. Jurdjevic,et al. Controllability and stability , 1978 .

[2] R. Khasminskii. Stochastic Stability of Differential Equations , 1980 .

[3] G. Kallianpur. Stochastic differential equations and diffusion processes , 1981 .

[4] R. W. Brockett,et al. Asymptotic stability and feedback stabilization , 1982 .

[5] Eduardo Sontag. A Lyapunov-Like Characterization of Asymptotic Controllability , 1983, SIAM Journal on Control and Optimization.

[6] Z. Artstein. Stabilization with relaxed controls , 1983 .

[7] D. Aeyels. Stabilization of a class of nonlinear systems by a smooth feedback control , 1985 .

[8] Z. Y. Gao,et al. Stabilizabiltty of certain stochastic systems , 1986 .

[9] John Tsinias,et al. Sufficient lyapunov-like conditions for stabilization , 1989, Math. Control. Signals Syst..

[10] Eduardo Sontag. A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[11] Eduardo D. Sontag,et al. FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS , 1990 .

[12] Yuandan Lin,et al. A universal formula for stabilization with bounded controls , 1991 .