Title :
New results on robust exponential stability for uncertain system with interval delay
Author :
Lu, Yuan ; Xing, Jun
Author_Institution :
Dept. of Fundamental Sci. & Technol., Yancheng Inst. of Technol., Yancheng, China
Abstract :
This paper is concerned with the robust exponential stability analysis of the continuous system with interval time-varying delay and norm-bounds uncertainties. By using Lyapunov-Krasovskii functional method and employing some novel techniques to overcome the disadvantages of the method in existing references, several delay-range-dependent conditions are derived in term of the linear matrix inequalities. The merits of the proposed criteria lie in the decay rate being a free value and the less conservativeness. Finally, some numerical examples are illustrated to show the improvement of this paper.
Keywords :
Lyapunov methods; asymptotic stability; continuous systems; delays; linear matrix inequalities; time-varying systems; uncertain systems; LMI; Lyapunov-Krasovskii functional method; continuous system; decay rate; delay-range-dependent conditions; interval time-varying delay; linear matrix inequalities; norm-bounds uncertainties; robust exponential stability analysis; uncertain system; Delay; Numerical stability; Robust stability; Stability criteria; Symmetric matrices; Time varying systems;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-0813-8
DOI :
10.1109/ICICIP.2011.6008388
