| Changing Supply Functions in Input/State Stable Systems (1999) | |||||||||||||||
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| We consider the problem of characterizing possible supply functions for a given dissipative nonlinear system, and provide a result that allows some freedom in the modification of such functions. Keywords--- nonlinear stability, ISS, dissipation, input /output stability I. Introduction The "input to state stability" (ISS) property has been recently introduced in nonlinear systems analysis ([4]), and, together with close variants, has already found some uses in feedback design ([2], [3]; see also [5] for an expository introduction). It provides one natural framework in which to formulate notions of stability with respect to input perturbations. In this note, we explore certain questions associated to the ISS property. It was shown in [6] that this property can be equivalently characterized in terms of a dissipation inequality (in the style of the work in [7], [1]). More precisely, consider a general nonlinear system evolving in Euclidean space R n and with inputs taking values in R ... | |||||||||||||||
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