Title :
Delay-dependent robust stability criteria for uncertain systems with multiple state delays
Author :
Su, Te-Jen ; Lu, Chien-Yi ; Tasi, Jason Sheng-Hong
Author_Institution :
Dept. of Electron. Eng., Nat. Kaohsiung Univ. of Appl., Sci., Taiwan
Abstract :
This paper provides new stability criteria for a class of uncertain linear time-delay systems with time-varying delays. Based on Lyapunov-Krasovskii functionals combined with linear matrix inequality (LMI) techniques, improved delay-dependent robust stability criteria, which are given in terms of quadratic forms of state and LMI, are derived. Our results, shown by two examples, are less conservative than the existing stability criteria
Keywords :
Lyapunov matrix equations; delay systems; linear systems; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov-Krasovskii functionals; delay-dependent robust stability criteria; linear matrix inequalities; multiple state delays; quadratic forms; time-varying delays; uncertain linear time-delay systems; Asymptotic stability; Delay systems; Linear matrix inequalities; Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Time varying systems; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946151
