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A remark on the stability of interconnected nonlinear systems

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2 Author(s)
Rapaport, A. ; INRA-LASB, Montpellier, France ; Astolfi, A.

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 1 )