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Automatic control problems for reaction-diffusion systems |
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| Authors: | C Cavaterra F Colombo |
| Institution: | (1) Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50, 20133 Milano, Italy, e-mail: cecilia.cavaterra@mat.unimi.it , IT;(2) Dipartimento di Matematica, Politecnico di Milano, Via E. Bonardi 9, 20133 Milano, Italy, e-mail: fabcol@mate.polimi.it , IT |
| Abstract: | 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. |
| Keywords: | : Reaction-diffusion systems Semilinear parabolic equations Automatic control problems Hysteresis operators of Preisach type |
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