Title :
Robust asymptotic stability of uncertain neutral systems via LMI and GAs
Author :
Lien, Chang-Hua ; Chang, Chih-Hsien ; Liao, Chih-Chieh ; Fan, Kuo-Kuang
Author_Institution :
Dept. of Electr. Eng., I-Shou Univ., Kaohsiung, Taiwan
Abstract :
In this paper, the robust asymptotic stability for a class of uncertain neutral system with time delays is considered. Based on Lyapunov theory, some stability criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability of our considered systems. Linear matrix inequality (LMI) approach and genetic algorithms (GAs) are used to solve the stability problems. Some numerical examples are illustrated to show the use of our obtained results.
Keywords :
Lyapunov methods; delays; genetic algorithms; linear matrix inequalities; stability; uncertain systems; LMI; Lyapunov theory; delay-dependent criteria; delay-independent criteria; genetic algorithms; linear matrix inequality; robust asymptotic stability; time delays; uncertain neutral systems; Additive noise; Asymptotic stability; Biological system modeling; Delay effects; Mathematical model; Power system modeling; Robust stability; Stability criteria; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Systems, Man and Cybernetics, 2003. IEEE International Conference on
Print_ISBN :
0-7803-7952-7
DOI :
10.1109/ICSMC.2003.1244374
