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
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;
Conference_Titel :
Systems and Control (ICSC), 2015 4th International Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4673-7108-7
DOI :
10.1109/ICoSC.2015.7153308
