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Evolution Hemivariational Inequality with Hysteresis Operator in Higher Order Term
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作者 Leszek GASI■SKI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第1期107-120,共14页
The authors study evolution hemivariational inequalities of semilinear type containing a hysteresis operator. For such problems we establish an existence result by reducing the order of the equation and then by the us... The authors study evolution hemivariational inequalities of semilinear type containing a hysteresis operator. For such problems we establish an existence result by reducing the order of the equation and then by the use of the time-discretization procedure. 展开更多
关键词 evolution hemivariational inequality Clarke subdifferential hysteresis operator timediscretization method
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A CLASS OF REACTION-DIFFUSION EQUATIONS WITH HYSTERESIS DIFFERENTIAL OPERATOR
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作者 Xu LongfengDept. of Math. and Phys., Anhui Univ. of Technology, Maanshan 243002 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第1期48-56,共9页
In this paper, the classical and weak derivatives with respect to spatial variable of a class of hysteresis functional are discussed. Some conclusions about solutions of a class of reaction-diffusion equations with hy... In this paper, the classical and weak derivatives with respect to spatial variable of a class of hysteresis functional are discussed. Some conclusions about solutions of a class of reaction-diffusion equations with hysteresis differential operator are given. 展开更多
关键词 hysteresis operator induced operator regular standing point weak convergence.
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Robust Stability of Nonlinear Plants with a Non-symmetric Prandtl-Ishlinskii Hysteresis Model 被引量:1
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作者 Akira Inoue 《International Journal of Automation and computing》 EI 2010年第2期213-218,共6页
In this paper, robust stability of nonlinear plants represented by non-symmetric Prandtl-Ishlinskii (PI) hysteresis model is studied. In general, PI hysteresis model is the weighted superposition of play or stop hys... In this paper, robust stability of nonlinear plants represented by non-symmetric Prandtl-Ishlinskii (PI) hysteresis model is studied. In general, PI hysteresis model is the weighted superposition of play or stop hysteresis operators, and the slopes of the operators are considered to be the same. In order to make a hysteresis model, a modified form of non-symmetric play hysteresis operator with unknown slopes is given. The hysteresis model is described by a generalized Lipschitz operator term and a bounded parasitic term. Since the generalized Lipschitz operator is unknown, a new condition using robust right coprime factorization is proposed to guarantee robust stability of the controlled plant with the hysteresis nonlinearity. As a result, based on the proposed robust condition, a stabilized plant is obtained. A numerical example is presented to validate the effectiveness of the proposed method. 展开更多
关键词 Prandtl-Ishlinskii (PI) hysteresis model robust stability right coprime factorization non-symmetric play hysteresis operator nonlinear plants.
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A PARABOLIC EQUATION WITH HYSTERESIS
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作者 徐龙封 《Annals of Differential Equations》 2004年第2期173-179,共7页
A parabolic equations with hysteresis is discussed. The existence of smoothstrong solution of one-dimension initial boundary problem of the equation isgiven.
关键词 parabolic equation hysteresis operator coercive strictly monotone
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