Delay-independent stability of linear neutral systems: A Riccati equation approach

Author

Verriest, Erik I. ; Niculescu, Silviu-Iulian

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1997

fDate

1-7 July 1997

Firstpage

3632

Lastpage

3636

Abstract

This note focuses on the problem of asymptotic stability of a class of linear neutral systems described by differential equations with delayed state. The delay is assumed unknown, but constant. Sufficient conditions for delay-independent asymptotic stability are given in terms of the existence of symmetric and positive definite solutions of a continuous Riccati algebraic matrix equation coupled with a discrete Lyapunov equation. The approach adopted here is based on a Lyapunov-Krasovskii functional technique.

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; delays; differential equations; functional equations; linear systems; Lyapunov-Krasovskii functional technique; asymptotic stability problem; continuous Riccati algebraic matrix equation; delay-independent asymptotic stability; delayed state; differential equations; discrete Lyapunov equation; linear neutral systems; positive definite solutions; sufficient conditions; symmetric solutions; unknown-constant delay; Asymptotic stability; Delays; Linear systems; Numerical stability; Riccati equations; Stability criteria; Symmetric matrices; Lyapunov-Krasovskii functional; Neutral delay systems; Riccati equation; asymptotic stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082679