Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2208297
