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• W2075243728 abstract "We consider continuous-time hysteresis operators, defined to be causal and rate independent operators mapping input signals u : R + → R to output signals v : R + → R . We show how a hysteresis operator defined on the set of continuous piecewise monotone functions can be naturally extended to piecewise continuous piecewise monotone functions. We prove that the extension is also a hysteresis operator and that a number of important properties of the original operator are inherited by the extension. Moreover, we define the concept of a discrete-time hysteresis operator and we show that discretizing continuous-time hysteresis operators using standard sampling and hold operations leads to discrete-time hysteresis operators. We apply the concepts and results described above in the context of sampled-data feedback control of linear systems with input hysteresis." @default.
• W2075243728 created "2016-06-24" @default.
• W2075243728 creator A5026063843 @default.
• W2075243728 creator A5086838151 @default.
• W2075243728 date "2003-06-01" @default.
• W2075243728 modified "2023-09-29" @default.
• W2075243728 title "Extending hysteresis operators to spaces of piecewise continuous functions" @default.
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• W2075243728 doi "https://doi.org/10.1016/s0022-247x(03)00097-0" @default.
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