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Extending hysteresis operators to spaces of piecewise continuous functions. (English) Zbl 1042.47049

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.

MSC:

47J40 Equations with nonlinear hysteresis operators
93B52 Feedback control
34C55 Hysteresis for ordinary differential equations
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