Extending hysteresis operators to spaces of piecewise continuous functions. (Q1399379)

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scientific article; zbMATH DE number 1956906
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Extending hysteresis operators to spaces of piecewise continuous functions.
scientific article; zbMATH DE number 1956906

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    Extending hysteresis operators to spaces of piecewise continuous functions. (English)
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    30 July 2003
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    Motivated by problems of sampled-data control in systems with input hysteresis, the authors develop a theory of scalar hysteresis operators acting on piecewise continuous functions with possible isolated jumps. Hysteresis operators are understood in their maximal generality, that is, as causal rate-independent mappings in appropriate spaces of functions of time.
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    hysteresis operators
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    piecewise continuous functions
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    sample-data systems
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