Title :
Solvability of a Lyapunov equation for characterization of asymptotic stability of linear delay systems
Author :
Bliman, Pierre-Alexandre
Author_Institution :
I.N.R.I.A., Le Chesnay, France
Abstract :
In this note is proposed an analogue for delay systems of the characterization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation. It is shown that strong delay-independent stability of delay system is equivalent to the feasibility of certain linear matrix inequality (LMI), related to quadratic Lyapunov-Krasovskii functionals.
Keywords :
Lyapunov methods; asymptotic stability; computability; delay systems; delays; linear matrix inequalities; linear systems; LMI; associated Lyapunov equation solvability; asymptotic stability characterization; linear delay systems; linear matrix inequality; quadratic Lyapunov-Krasovskii functionals; rational systems; strong delay-independent stability; Asymptotic stability; Delay systems; Delays; Linear matrix inequalities; Stability criteria; Trajectory; delay-independent stability; linear delay systems; linear matrix inequalities; quadratic Lyapunov-Krasovskii functionals;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
