LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals

Authors
Bliman, PA
Citation
Pa. Bliman, LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals, SYST CONTR, 43(4), 2001, pp. 263-274
Citations number
21
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
43
Issue
4
Year of publication
2001
Pages
263 - 274
Database
ISI
SICI code
0167-6911(20010723)43:4<263:LCOTSD>2.0.ZU;2-N
Abstract
In this note is proposed an analogue for linear delay systems of the charac terization of asymptotic stability of the rational systems by the solvabili ty of associated Lyapunov equation, It is shown that strong delay-independe nt stability of delay system is equivalent to the feasibility of certain li near matrix inequality (LMI), related to quadratic Lyapunov-Krasovskii func tionals. (C) 2001 Elsevier Science B.V. All rights reserved.