Title :
Approximations of Lyapunov-Krasovskii functionals of complete type with a prescribed cross term in the derivative
Author :
Ochoa, B.M. ; Mondié, S.
Author_Institution :
Dept. of Autom. Control, CINVESTAV-IPN, Mexico
Abstract :
Sufficients conditions for the stability analysis of linear single delay systems are given. The results is achieved within the Lyapunov-Krasovskii framework through a piece-wise linear approximation of functional of complete type, whose derivative includes a cross term. The conditions are stated in terms of linear matrix inequalities whose size depends on the precision of the approximation
Keywords :
Lyapunov methods; delay systems; function approximation; linear matrix inequalities; linear systems; stability; Lyapunov-Krasovskii function approximation; linear matrix inequalities; linear single delay systems; piece-wise linear approximation; stability analysis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Piecewise linear approximation; Proposals; Stability analysis; Sufficient conditions; Symmetric matrices; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377592
