Parameter-dependent robust stability for nonlinear distributed delay stochastic systems with polytopic-type uncertainties

Author

Gao, Wen-hua ; Deng, Fei-qi

Author_Institution

Coll. of Sci., South China Univ. of Technol., Guangzhou, China

Volume

6

fYear

2009

fDate

12-15 July 2009

Firstpage

3684

Lastpage

3689

Abstract

The robust stability problem for nonlinear distributed delay stochastic systems with polytopic-type uncertainties is discussed. Based on parameter-dependent Lyapunov-krasovs-kii functional and free-weighting matrix method, a delay-dependent and parameter-dependent stability condition is presented in terms of linear matrix inequalities. The result in this paper improves the existing stability criteria and has less conservativeness. The simulation example shows that the result is effective.

Keywords

Lyapunov methods; delays; distributed control; linear matrix inequalities; nonlinear control systems; robust control; stochastic systems; uncertain systems; Lyapunov-krasovs-kii functional; free-weighting matrix; linear matrix inequalities; nonlinear distributed delay stochastic systems; parameter-dependent robust stability; polytopic-type uncertainties; Cybernetics; Delay systems; Educational institutions; Linear matrix inequalities; Machine learning; Robust stability; Stochastic systems; Symmetric matrices; Uncertain systems; Uncertainty; Delay-dependent robust stability; Distributed delay; Parameter-dependent stability; Polytopic-type uncertainties; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212724

Filename

5212724