Title :
Exponential stability conditions for 2D continuous state-delayed systems
Author :
Ghamgui, Mariem ; Yeganefar, Nima ; Bachelier, Olivier ; Mehdi, Driss
Author_Institution :
LAII-ENSIP, Univ. of Poitiers, Poitiers, France
Abstract :
In this paper, we define the notion of exponential stability for continuous nD Roesser models with state delays and develop, using the Lyapunov approach, new tractable conditions (LMI type) to check the exponential stability of 2D linear delayed systems. Illustrative examples are introduced to prove the efficiency of the proposed criteria.
Keywords :
Lyapunov methods; asymptotic stability; continuous systems; delays; linear matrix inequalities; linear systems; multidimensional systems; 2D continuous state-delayed systems; 2D linear delayed systems; LMI type; Lyapunov approach; continuous Roesser models; exponential stability conditions; multidimensional systems; Asymptotic stability; Circuit stability; Delay; Linear systems; Multidimensional systems; Stability criteria;
Conference_Titel :
Multidimensional (nD) Systems (nDs), 2011 7th International Workshop on
Conference_Location :
Poitiers
Print_ISBN :
978-1-61284-815-0
DOI :
10.1109/nDS.2011.6076866