A new version of the small-gain theorem is presented for nonlinear finite dimensional systems. The result provides conditions for global asymptotic stability under relaxed assumptions, in particular the two interconnected subsystems need not be Input-to-State stable in open loop.
A tight small gain theorem for not necessarily ISS systems / Angeli, David; Astolfi, Alessandro. - CD-ROM. - (2005), pp. 5427-5431. (Intervento presentato al convegno IEEE Conference on Decision and Control).
A tight small gain theorem for not necessarily ISS systems
Angeli, David;
2005
Abstract
A new version of the small-gain theorem is presented for nonlinear finite dimensional systems. The result provides conditions for global asymptotic stability under relaxed assumptions, in particular the two interconnected subsystems need not be Input-to-State stable in open loop.
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