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State-Space Representation of Hysteresis Systems Exhibiting the Return Point Memory

Published 2 Jan 2017 in math.DS and math.OC | (1701.00727v1)

Abstract: Application of the minimal state-space realization to hysteresis systems is studied. The method allows to construct the space of states and establish the state transition rules using the input equivalence, which can be obtained for hysteresis systems basing on rate independence and the return point memory.

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