DocumentCode
3084590
Title
Lyapunov theory for continuous 2D systems with variable delays: Application to asymptotic and exponential stability
Author
Ghamgui, Mariem ; Mehdi, Driss ; Bachelier, Olivier ; Tadeo, Fernando
fYear
2015
fDate
28-30 April 2015
Firstpage
367
Lastpage
371
Abstract
This paper deals with two dimensional (2D) systems with variable delays. More precisely, conditions are developed to study the asymptotic and exponential stability of 2D Roesser-like models with variable independent delays affecting the two directions. Based on proper definitions of 2D asymptotic and exponential stability, sufficient conditions are developed, expressed using Linear Matrix Inequalities, based on Lyapunov-Krasovskii functionals.
Keywords
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; multidimensional systems; 2D Roesser-like model; Lyapunov theory; Lyapunov-Krasovskii functional; asymptotic stability; continuous 2D system; exponential stability; linear matrix inequality; sufficient condition; two dimensional system; variable delay; variable independent delay; Asymptotic stability; Boundary conditions; Control theory; Delays; Signal processing; Stability analysis; 2D systems; Lyapunov-Krasovskii functional; Roesser model; variable delays;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems and Control (ICSC), 2015 4th International Conference on
Conference_Location
Sousse
Print_ISBN
978-1-4673-7108-7
Type
conf
DOI
10.1109/ICoSC.2015.7153308
Filename
7153308
Link To Document