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Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions
Department of Mathematics, Faculty of Applied Sciences, Umm AL-Qura University, Makkah, KSA
Department of Mathematics, Faculty of Science, Taibah University, Madina, KSA
- 1 Department of Mathematics, Faculty of Applied Sciences, Umm AL-Qura University, Makkah, KSA
- 2 Department of Mathematics, Faculty of Science, Taibah University, Madina, KSA
Intelligent Control and Automation·Volume 04 (2013)·Pages 280–286·Published 7 August 2013·DOI10.4236/ica.2013.43032
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Abstract
In this paper, we consider 2 × 2 non-cooperative elliptic system involving Laplace operator defined on bounded, continuous and strictly Lipschitz domain of Rn. First we prove the existence and uniqueness for the state of the system under conjugation conditions; then we discuss the existence of the optimal control of boundary type with Neumann conditions, and we find the set of equations and inequalities that characterize it.
KeywordsBoundary ControlElliptic SystemsConjugation ConditionsNon-Cooperative SystemsNeumann Conditions
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