On the stability of 2D general Roesser Lyapunov systems

Mohammed Amine Ghezzar (1) , Djillali Bouagada (1) , Kamel Benyettou (1) , Mohammed Chadli (2) , Paul van Dooren (3)

1 Laboratory of Pure and Applied Mathematics
2 IBISC - Informatique, BioInformatique, Systèmes Complexes
3 ICTEAM - Institute of Information and Communication Technologies, Electronics and Applied Mathematics

This paper addresses the problem of stability for general two-dimensional (2D) discrete-time and continuous-discrete time Lyapunov systems, where the linear matrix inequalities (LMI's) approach is applied to derive a new sufficient condition for the asymptotic stability.

Keywords: 2D general systems; LMI; Lyapunov systems; Roesser system; Stability

Domains: Automatic

Mohammed Amine Ghezzar, Djillali Bouagada, Kamel Benyettou, Mohammed Chadli, Paul van Dooren. On the stability of 2D general Roesser Lyapunov systems. Acta Mathematica, 2021, 63 (1), pp.85--97. ⟨10.24193/mathcluj.2021.1.08⟩. ⟨hal-03541034⟩