Nonconservative LMI criteria for delay-independent stability of delay systems, based on quadratic Lyapunov-Krasovskii functionals

Author

Bliman, Pierre-Aledandre

Author_Institution

Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France

Volume

2

fYear

2001

fDate

2001

Firstpage

1427

Abstract

Studies the delay-independent stability of delay systems of retarded or neutral type. It is shown that the strong delay-independent stability is equivalent to the feasibility of a certain linear matrix inequality (LMI), viz. to the existence of a certain quadratic Lyapunov-Krasovskii functional, independent of the (non-negative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result gives a method for the computation of some non-trivial structured singular values. It is applied to studying the delay-independent stability of systems with polytopic uncertainties

Keywords

Lyapunov matrix equations; delay systems; functional equations; linear systems; stability criteria; uncertain systems; μ-analysis; delay-independent stability; finite-dimensional systems; linear delay systems; linear matrix inequalities; neutral delay systems; nonconservative criteria; polytopic uncertainties; quadratic Lyapunov-Krasovskii functionals; retarded delay systems; structured singular values; Control systems; Delay lines; Delay systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Robust stability; Stability criteria; Testing; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.981092

Filename

981092