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Control of hysteretic systems: A state-space approach

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This article is published in Lecture Notes in Control and Information Sciences.The article was published on 1999-01-01. It has received 29 citations till now. The article focuses on the topics: Robust control & Control system.

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Citations
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Journal ArticleDOI

Semilinear Duhem model for rate-independent and rate-dependent hysteresis

TL;DR: This paper considers rate-independent and rate-dependent semilinear Duhem models with provable properties with sufficient conditions for convergence to a limiting input-output map.
Journal ArticleDOI

Passivity-based stability and control of hysteresis in smart actuators

TL;DR: This work considers the ideas of energy storage and minimum energy states of the Preisach model, and derives a passivity property of the model, which is useful in controller design and experimental results are included.
Journal ArticleDOI

What is Hysteresis

TL;DR: In this paper, a number of different situations exhibiting hysteresis are described and analyzed, including an electronic comparator, gene regulatory network, backlash, beam in a magnetic field, a class of smart materials and inelastic springs.
Journal ArticleDOI

Review and Comparison of Hysteresis Models for Magnetostrictive Materials

TL;DR: In this article, the authors studied the modeling of magnetization in magnetostrictive materials and compared the ease of use and accuracy of these models in the prediction of Terfenol-D behavior.
Proceedings ArticleDOI

Counterclockwise Dynamics of a Rate-Independent Semilinear Duhem Model

TL;DR: In this article, it was shown that the semilinear Duhem model is counterclockwise in the sense that the signed area of the input-output map is not a simple closed curve.
References
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Journal ArticleDOI

Dissipative dynamical systems part I: General theory

TL;DR: In this paper, a general theory of dissipative dynamical systems is presented, where dissipativeness is defined in terms of an inequality involving the storage function and the supply function, which is bounded from below by the available storage and from above by the required supply.
Book

Mathematical models of hysteresis

TL;DR: A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described in this paper, which gives the necessary and sufficient conditions for the representation of actual hystresis nonlinearities by the scalareach model.
Book

Hysteresis and Phase Transitions

TL;DR: In this article, the authors present a mathematical model for phase transitions in Eutectoid carbon steels, based on the Caginalp model and the Penrose-Fife model.
Book

Differential models of hysteresis

TL;DR: In this article, the authors present a history of the Genesis of Hysteresis, plays, stops, and Prandtl-Ishlinski? Models, including the preisach model, the Duhem model, and the semilinear P.E.s with memory.

Mathematical models of hysteresis

TL;DR: A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described in this paper, which gives the necessary and sufficient conditions for the representation of actual hystresis nonlinearities by the scalareach model.