Automatic control problems for reaction-diffusion systems

被引：1

作者：

Cavaterra, C

Colombo, F

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2002年 / 2卷 / 02期

关键词：

reaction-diffusion systems; semilinear parabolic equations; automatic control problems; hysteresis operators of Preisach type;

D O I：

10.1007/s00028-002-8088-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of nonlinear reaction-diffusion systems is considered. We formulate some automatic control problems based on feedback devices located on the boundary. Two different types of devices are analyzed: relay switch and Preisach hysteresis operator. The resulting models lead to a nonlinear integrodifferential parabolic system with nonlinear and nonlocal boundary conditions. We prove global existence and uniqueness of solutions in both the cases considered.

引用

页码：241 / 273

页数：33

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