Title :
New Exponential Estimates for Time-Delay Systems
Author :
Xu, Shengyuan ; Lam, James ; Zhong, Maiying
Author_Institution :
Dept. of Autom., Nanjing Univ. of Sci. & Technol.
Abstract :
This note considers the problem of exponential stability for time-delay systems. In terms of linear matrix inequalities, a new sufficient condition for exponential stability is obtained. Based on this, an improved upper bound of the decay rate can be easily calculated. When time-varying norm-bounded parameter uncertainties appear, a new sufficient condition for robust exponential stability of uncertain time-delay systems is also provided. The reduced conservatism of the proposed conditions is illustrated via two numerical examples
Keywords :
asymptotic stability; delay systems; linear matrix inequalities; robust control; uncertain systems; exponential estimates; linear matrix inequalities; norm-bounded parameter uncertainties; robust exponential stability; uncertain time-delay system; Asymptotic stability; Delay estimation; Delay systems; Linear matrix inequalities; Robust stability; Sufficient conditions; Symmetric matrices; Time varying systems; Uncertain systems; Upper bound; Exponential stability; linear matrix inequality (LMI); time-delay systems; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.880783
