A weak version of the small-gain theorem

Alessandro Astolfi (1) , Laurent Praly (2)

1 EEE Department
2 CAS - Centre Automatique et Systèmes

A weak version of the small-gain theorem is derived. Connections with the classical linear and nonlinear small-gain conditions are established. The necessity of the weak small-gain conditions is discussed.

Mots clés: Asymptotic stability; Convergence; Educational institutions; Electronic mail; History; Interconnected systems; Nonlinear systems

Domaines: Automatique / Robotique

Alessandro Astolfi, Laurent Praly. A weak version of the small-gain theorem. Conference on Decision and Control (2012), Dec 2012, United States. pp.4586- 4590. ⟨hal-00787788⟩