Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: A qualitative approach

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2003, Pages 1487-1491

  Khapalov, A Y ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CATALYSTS; DIFFUSION; DYNAMICS; HEAT CONVECTION;

DIRICHLET BOUNDARY PROBLEM; SEMILINEAR PARABOLIC EQUATION;

CONTROL SYSTEMS;

EID: 1542358914     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

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3. L.A. Fernández, Controllability of some semilinear parabolic problems with multiplicative control, presented at the Fifth SIAM Conference on Control and its applications, held in San Diego, July 11-14, 2001.
4. A.Y. Khapalov, Bilinear control for global controllability of the semilinear parabolic equations with superlinear terms, the Special volume "Control of Nonlinear Distributed Parameter Systems," dedicated to David Russell, G. Chen/I. Lasiecka/J. Zhou Eds., 2001, Marcel Dekker, pp. 139-155.
5. A.Y. Khapalov, Global non-negative controllability of the semilinear parabolic equation governed by bilinear control, ESAIM: Contrôle, Optimisation et Calcul des Variations, 7 (2002), pp. 269-283.
6. A.Y. Khapalov, On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton's Law, the special issue of the Journal of Computational and Applied Mathematics, dedicated to the memory of J.-L. Lions, 21 (2002), pp. 1-23.
7. A.Y. Khapalov, Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: A qualitative approach, SIAM J. Control. Optim., 41 (2003), pp. 1886-1900.
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9. S. Lenhart, Optimal control of convective-diffusive fluid problem, Math. Models and Methods in Appl. Sci., 5 (1995), pp. 225-237.