Title :
Lyapunov equation for the stability of linear delay systems of retarded and neutral type
Author :
Bliman, Pierre-Alexandre
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
fDate :
2/1/2002 12:00:00 AM
Abstract :
In this note, the delay-independent stability of delay systems is studied. It is shown that the strong delay-independent stability is equivalent to the feasibility of certain linear matrix inequality (LMI), that is to the existence of a quadratic Lyapunov-Krasovskii functional, independent of the (nonnegative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result is then applied to study delay-independent stability of systems with polytopic uncertainties
Keywords :
Lyapunov methods; delay systems; linear systems; matrix algebra; stability; LMI; Lyapunov equation; finite-dimensional systems; linear delay systems stability; linear matrix inequality; neutral systems; polytopic uncertainties; quadratic Lyapunov-Krasovskii functional; retarded systems; strong delay-independent stability; Delay systems; Equations; Filtering; Linear systems; Nonlinear filters; Optimal control; Stability; Stochastic resonance; White noise; Wideband;
Journal_Title :
Automatic Control, IEEE Transactions on
