Title :
Practical stability of time delay systems: LMI’s approach
Author :
Villafuerte, R. ; Mondié, S. ; Poznyak, A.
Author_Institution :
Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
Abstract :
In this paper we discuss the practical stability of a class of time delay systems with an unstable equilibrium. We obtain sufficient conditions based on Lyapunov-Krasovskii functionals stated in terms of the feasibility of LMI\´s. A "practical" exponential estimate of the solution is also obtained. The result is extended to the practical stabilization and to the case of systems with multiple delays.
Keywords :
delays; linear matrix inequalities; stability; LMI; exponential estimate; time delay system stability; Adaptive control; Asymptotic stability; Control systems; Delay effects; Delay systems; Lyapunov method; Mechanical systems; Stability analysis; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738801
