Title :
Necessary conditions for the exponential stability of a class of distributed delay-systems
Author :
Cuvas, Carlos ; Mondie, Sabine
Author_Institution :
Dept. de Control Automatico, CINVESTAV-IPN, Mexico City, Mexico
Abstract :
Necessary conditions for the exponential stability of linear systems with distributed delays are presented. The originality of these conditions is that they depend only on the system Lyapunov delay matrix which is a central concept of the so-called complete type Lyapunov-Krasovskii functional approach. The result is validated by some examples.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear systems; matrix algebra; Lyapunov delay matrix; Lyapunov-Krasovskii functional approach; distributed delay systems; exponential stability; linear systems; Control theory; Delays; Linear systems; Stability analysis; Symmetric matrices; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039685