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638
Characterization of ShortMemory Hysteresis Operators
"... We look for a parametric description of a class of hysteresis operators possessing a natural set of properties, including short memory. The results of this type are known as realization or characterization theorems; up to date, mainly onedimensional operators have been characterized. We demonstrate ..."
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We look for a parametric description of a class of hysteresis operators possessing a natural set of properties, including short memory. The results of this type are known as realization or characterization theorems; up to date, mainly onedimensional operators have been characterized. We demonstrate
Extending Hysteresis Operators to Spaces of Piecewise Continuous Functions
"... : We consider continuoustime hysteresis operators, dened 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 dened on the space of continuous piecewise monotone functions, can be naturally extended to piecewise ..."
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Cited by 4 (1 self)
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: We consider continuoustime hysteresis operators, dened 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 dened on the space of continuous piecewise monotone functions, can be naturally extended
Adaptive inverse control of piezoelectric actuators with hysteresis operators
 in Proceedings of European Control Conference (ECC), Karsruhe
, 1999
"... Abstract The present paper will describe an approach for the compensation of the hysteretic transfer characteristics of a piezoelectric stack transducer by an adaptive inverse hysteretic control. The basis of the inverse control is formed by a weighted superposition of elementary stoptype hysteres ..."
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Cited by 19 (2 self)
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type hysteresis operators which, in terms of mathematics, can be easily described and which reflect the qualitative properties of the inverse transfer characteristic of the transducer. Starting with a linear characteristic the weigths of an inverse hysteretic observer are identified during operation by a stable
Parabolic problems with the Preisach hysteresis operator in boundary conditions
 PARABOLIC PROBLEMS WITH HYSTERESIS 1083
"... Parabolic initial boundaryvalue problems coupled (via the boundary condition) with ordinary differential equations whose righthand side contains the Preisach hysteresis operator are considered. In particular, these problems model thermocontrol processes in chemical reactors, climatecontrol syste ..."
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Cited by 4 (2 self)
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Parabolic initial boundaryvalue problems coupled (via the boundary condition) with ordinary differential equations whose righthand side contains the Preisach hysteresis operator are considered. In particular, these problems model thermocontrol processes in chemical reactors, climate
HOMOGENIZATION OF DIFFUSION EQUATION WITH SCALAR HYSTERESIS OPERATOR
"... Dedicated to Prof. J. Nečas on the occasion of his 70th birthday Abstract. The paper deals with a scalar diffusion equation cut =(F[ux])x+f, where F is a PrandtlIshlinskii operator and c, f are given functions. In the diffusion or heat conduction equation the linear constitutive relation is replace ..."
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is replaced by a scalar PrandtlIshlinskii hysteresis spatially dependent operator. We prove existence, uniqueness and regularity of solution to the corresponding initialboundary value problem. The problem is then homogenized by considering a sequence of equations of the above type with spatially periodic
Clamped elasticideally plastic beams and PrandtlIshlinskii hysteresis operators
, 2009
"... We consider a model for onedimensional transversal oscillations of an elasticideally plastic beam. It is based on the von Mises model of plasticity and leads after a dimensional reduction to a fourthorder partial differential equation with a hysteresis operator of PrandtlIshlinskii type whose we ..."
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Cited by 1 (0 self)
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We consider a model for onedimensional transversal oscillations of an elasticideally plastic beam. It is based on the von Mises model of plasticity and leads after a dimensional reduction to a fourthorder partial differential equation with a hysteresis operator of PrandtlIshlinskii type whose
1ADAPTIVE INVERSE CONTROL OF PIEZOELECTRIC ACTUATORS WITH HYSTERESIS OPERATORS
"... piezoelectric actuator The present paper will describe an approach for the compensation of the hysteretic transfer characteristics of a piezoelectric stack transducer by an adaptive inverse hysteretic control. The basis of the inverse control is formed by a weighted superposition of elementary stop ..."
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type hysteresis operators which, in terms of mathematics, can be easily described and which reflect the qualitative properties of the inverse transfer characteristic of the transducer. Starting with a linear characteristic the weigths of an inverse hysteretic observer are identified during operation by a stable
Hysteresis Operators in PhaseField Models of PenroseFife Type
, 1998
"... Phasefield systems as mathematical models for phase transitions have drawn a considerable interest in recent years. However, while they are capable of capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occuring during phase tra ..."
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Cited by 2 (0 self)
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transition processes. To overcome this shortcoming of existing phasefield theories, the authors recently proposed a new approach to phasefield models which is based on the mathematical theory of hysteresis operators developed in the past fifteen years. Wellposedness and thermodynamic consistency were
Approximate Inversion of the Preisach Hysteresis Operator With Application to Control of Smart
"... Abstract—Hysteresis poses a challenge for control of smart actuators. A fundamental approach to hysteresis control is inverse compensation. For practical implementation, it is desirable for the input function generated via inversion to have regularity properties stronger than continuity. In this pap ..."
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Cited by 12 (0 self)
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. In this paper, we consider the problem of constructing right inverses for the Preisach model for hysteresis. Under mild conditions on the density function, we show the existence and weakstar continuity of the rightinverse, when the Preisach operator is considered to act on Hölder continuous functions. Next
Results 1  10
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638