Title :
Refined discretized Lyapunov functional method for systems with multiple delays
Author_Institution :
Dept. of Mech. & Ind. Eng., Southern Illinois Univ., Edwardsville, IL, USA
Abstract :
A discretized Lyapunov functional method for systems with multiple delay is refined. The main ideas used are variable elimination and integral inequality. The resulting new stability criterion is simpler. Numerical examples indicate that the new method is much less conservative for a given discretization mesh. In most applications, it appears that a most coarse discretization mesh compatible with the delays is sufficient
Keywords :
Lyapunov methods; delays; discrete systems; stability criteria; integral inequality; multiple delay systems; refined discretized Lyapunov functional method; stability criterion; variable elimination; Biology computing; Control systems; Control theory; Delay systems; Industrial engineering; Linear matrix inequalities; Refining; Robust stability; Stability criteria; Telephony;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980238