Paper Info
Title
Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances
Abstract
In this paper, a delay-dependent approach is developed to deal with the robust stabilization problem for a class of stochastic time-delay interval systems with nonlinear disturbances. The system matrices are assumed to be uncertain within given intervals, the time delays appear in both the system states and the nonlinear disturbances, and the stochastic perturbation is in the form of a Brownian motion. The purpose of the addressed stochastic stabilization problem is to design a memoryless state feedback controller such that, for all admissible interval uncertainties and nonlinear disturbances, the closed-loop system is asymptotically stable in the mean square, where the stability criteria are dependent on the length of the time delay and therefore less conservative. By using Itô's differential formula and the Lyapunov stability theory, sufficient conditions are first derived for ensuring the stability of the stochastic interval delay systems. Then, the controller gain is characterized in terms of the solution to a delay-dependent linear matrix inequality (LMI), which can be easily solved by using available software packages. A numerical example is exploited to demonstrate the effectiveness of the proposed design procedure.
Year
DOI
Venue
2007
10.1016/j.sysconle.2007.03.009
Systems & Control Letters
Keywords
Field
DocType
Robust stabilization,Stochastic interval systems,Linear matrix inequality,Nonlinear disturbance,Delay-dependent criteria
Stability criterion,Lyapunov function,Nonlinear control,Control theory,Lyapunov stability,Exponential stability,Robust control,Mathematics,Stochastic control,Stability theory
Journal
Volume
Issue
ISSN
56
9
0167-6911
Citations 
PageRank 
References 
10
0.82
17
Authors
4
Name
Order
Citations
PageRank
Guoliang Wei1130971.09
Zidong Wang211003578.11
Huisheng Shu370335.60
Jian’an Fang4403.99