Title :
A tight small gain theorem for not necessarily ISS systems
Author :
Angeli, David ; Astolfi, Alessandro
Author_Institution :
Dep. of Systems and Computer Science, University of Florence, Italy. E.mail: angeli@dsi.unifi.it.
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.
Keywords :
Asymptotic stability; Computer science; Differential equations; Educational institutions; Feedback; Interconnected systems; Linear systems; Lyapunov method; Performance analysis; Performance gain;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583025
