DocumentCode :
3127155
Title :
Stability and L2-Gain Analysis of Systems with Time-Varying Delays: Input-Output Approach
Author :
Fridman, E. ; Shaked, U.
Author_Institution :
School of Electrical Engineering, Tel Aviv University, Tel Aviv, 69978 Israel, E-mail: emilia@eng.tau.ac.il.
fYear :
2005
fDate :
15-15 Dec. 2005
Firstpage :
7175
Lastpage :
7180
Abstract :
Stability and L2(l2)-gain analysis of linear (continuous-time and discrete-time) systems with uncertain bounded time-varying delays possessing non-zero nominal values and norm-bounded uncertainties. The delay derivatives (in the continuous-time) are not assumed to be less than q < 1. An input-output approach is applied by introducing a new input-output model, which leads to effective frequency domain and time domain criteria. The new method essentially improves the existing results for delays with derivative not greater than 1, which were treated in the past as fast-varying delays (without any constraints on the delay derivative). New BRLs are derived for systems with state and objective vector delays. Numerical examples illustrate the efficiency of the new method.
Keywords :
BRL; Lyapunov-Krasovskii functional; small-gain theorem; time-varying delay; uncertainties; Control systems; Delay effects; Delay systems; Frequency domain analysis; Robust stability; Stability analysis; Stability criteria; Time varying systems; Uncertain systems; Uncertainty; BRL; Lyapunov-Krasovskii functional; small-gain theorem; time-varying delay; uncertainties;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Conference_Location :
Seville, Spain
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1583318
Filename :
1583318
Link To Document :
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