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An input-output approach to systems described using multiple models

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1 Author(s)
H. J. Marquez ; Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada

This paper initiates a general theory of systems described by multiple models. A complete characterization of the stability of such a systems is given, based on the concept of stable motion between two states. The approach taken is based on a reformulation of the theory of input-output systems initiated independently by Sandberg and Zames. Our formulation in done in such a way that (1) it permits dealing with local models of a physical system, i.e., mathematical models are only assumed to be valid in a neighborhood on an operating condition and (2) the main stability results of the classical theory remain essentially unchanged

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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:47 ,  Issue: 6 )