A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay

Author

Xue-Jun Xie ; Liang Liu

Author_Institution

Inst. of Autom., Qufu Normal Univ., Qufu, China

Volume

58

Issue

2

fYear

2013

fDate

Feb. 2013

Firstpage

494

Lastpage

499

Abstract

The homogeneous domination approach is introduced to solve the state feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a state feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.

Keywords

asymptotic stability; closed loop systems; control system synthesis; delays; nonlinear control systems; probability; state feedback; stochastic systems; time-varying systems; closed-loop system; homogeneous domination approach; probability; state feedback controller; state feedback stabilization problem; stochastic high order nonlinear systems; time varying delay; Closed loop systems; Delay; Lyapunov methods; Nonlinear systems; State feedback; Time varying systems; Vectors; Homogeneous domination approach; state feedback; stochastic high-order nonlinear time-delay systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2208297

Filename

6237498