Stability and stabilization of 2D continuous state-delayed systems

Author

Ghamgui, Mariem ; Yeganefar, Nima ; Bachelier, Olivier ; Mehdi, Driss

Author_Institution

LAII-ENSIP, Univ. of Poitiers, Poitiers, France

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

1878

Lastpage

1883

Abstract

In this paper, we consider the problem of stability and stabilization of 2D continuous systems with state delays. The asymptotic stability of this class of systems described by the Roesser model is addressed via Lyapunov techniques. It is shown that linear matrix inequalities (LMIs) can be used to check the asymptotic stability of 2D linear delayed systems and this is applied to the case of state feedback stabilization. A numerical example is introduced to show the efficiency of the proposed criterion for a 2D linear delayed system.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; delays; linear matrix inequalities; linear systems; state feedback; 2D continuous systems; 2D linear delayed systems; Lyapunov techniques; Roesser model; asymptotic stability; linear matrix inequalities; state delays; state feedback stabilization; Asymptotic stability; Delay; Multidimensional systems; Stability criteria; State feedback; Vectors; 2D Roesser model; LMI; Lyapunov-Krasovskii functional; delayed systems; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161212

Filename

6161212