A LOCAL THEORY OF INPUT-OUTPUT STABILITY OF DYNAMICAL-SYSTEMS

The purpose of this paper is to present a local theory of input/output stability of dynamical systems. More precisely, the intention is to o btain local open loop conditions for local closed loop stability of fe edback interconnections. It will be shown that, by setting the problem in the context of extended binormed spaces it is possible to obtain l ocal versions of the so-called small gain theorem and circle criterion for stability of nonlinear systems. the results clearly determine the extent of input/output stability, i.e. the set of input functions of which stability is guaranteed.