A small-gain-like theorem for large-scale systems

Giordano Scarciotti (1) , Laurent Praly (2) , Alessandro Astolfi (1, 3)

1 DEEE - Department of Electrical and Electronic Engineering [London]
2 CAS - Centre Automatique et Systèmes
3 DICII

The behavior of the solutions of large-scale nonlinear dynamical systems close to their omega-limit sets is studied. Exploiting small-gain like conditions we extend the results in [1], considering the interconnection of p of subsystems, and the results in [2], presenting a block version of the weak nested Matrosov theorem.

Mots clés: Vectors; Linear matrix inequalities; Asymptotic stability; Conferences; Large-scale systems; Stability criteria

Domaines: Automatique / Robotique

Giordano Scarciotti, Laurent Praly, Alessandro Astolfi. A small-gain-like theorem for large-scale systems. 52nd IEEE Conference on Decision and Control (CDC 2013), Dec 2013, Florence, Italy. pp.6593 - 6596, ⟨10.1109/CDC.2013.6760932⟩. ⟨hal-01544657⟩