Title :
Some necessary conditions for the exponential stability of one delay systems
Author :
Mondié, Sabine ; Egorov, Alexey
Author_Institution :
Dept. of Atomatic Control, CINVESTAV-IPN, Mexico City, Mexico
Abstract :
Some necessary conditions for the exponential stability of the one delay system are presented. In the case A1 is an invertible matrix, the condition depends exclusively on the Lyapunov matrix function of the delay system. The conditions are validated by examples for which the analytic characterization of the stability region is known.
Keywords :
Lyapunov matrix equations; asymptotic stability; delays; Lyapunov matrix function; exponential stability; invertible matrix; necessary conditions; one delay system; Delay; Delay systems; Equations; Numerical stability; Stability criteria; Symmetric matrices; Lyapunov-Krasovskii framework; Time delay systems; exponential stability; necessary conditions;
Conference_Titel :
Electrical Engineering Computing Science and Automatic Control (CCE), 2011 8th International Conference on
Conference_Location :
Merida City
Print_ISBN :
978-1-4577-1011-7
DOI :
10.1109/ICEEE.2011.6106678
