Title :
A remark on the stability of interconnected nonlinear systems
Author :
Rapaport, A. ; Astolfi, A.
Author_Institution :
INRA-LASB, Montpellier, France
Abstract :
We use a notion of generalized L2-gain for nonlinear systems, where the gain is considered as a function of the state instead of a (global) constant, for characterizing stability properties of interconnected systems. The obtained results generalize the well-known small-gain theorem.
Keywords :
interconnected systems; nonlinear control systems; stability; L2-gain; interconnected nonlinear systems; small gain theorem; stability; state function; Asymptotic stability; Attenuation; Interconnected systems; Nonlinear systems; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.821407
