Relaxed conditions for the stability of switched nonlinear triangular systems under arbitrary switching

Ndolane Sene , Antoine Chaillet (1) , Moussa Balde (2)

1 L2S - Laboratoire des signaux et systèmes
2 Département de Mathématiques et Informatique, Faculté des Sciences et Techniques

This paper addresses the stability of a class of nonlinear switching systems under arbitrary switching. It focuses on switching systems whose modes are made of a cascade of nonlinear scalar systems. It relaxes the stability conditions proposed by Angeli and Liberzon, by relying on the Strong iISS property which is known to be preserved under cascade interconnection. Its applicability is illustrated by the study of switched bilinear systems in triangular form.

Keywords: Nonlinear switching systems; Triangular systems; Stability analysis; Bilinear systems

Domains: Automatic

Ndolane Sene, Antoine Chaillet, Moussa Balde. Relaxed conditions for the stability of switched nonlinear triangular systems under arbitrary switching. Systems and Control Letters, 2015, 84, pp.52-56. ⟨10.1016/j.sysconle.2015.06.004⟩. ⟨hal-01264969⟩