Title :
An LMI approach for robust stability of linear uncertain systems with time-varying multiple state delays
Author :
Su, T.-J. ; Lu, C.-Y. ; Jong, G.J.
Author_Institution :
Dept. of Electron. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Taiwan
Abstract :
Provides stability criteria for a class of uncertain linear time-delay systems with time-varying delays. Based on Lyapunov-Krasovskii functionals combined with 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 an example are less conservative than the existing stability criteria
Keywords :
Lyapunov methods; delay systems; linear systems; matrix algebra; robust control; stability criteria; uncertain systems; LMI approach; Lyapunov-Krasovskii functionals; robust stability; time-varying multiple state delays; uncertain linear time-delay systems; Delay effects; Delay systems; Linear matrix inequalities; Riccati equations; Robust stability; Stability analysis; Stability criteria; Time varying systems; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912072