Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions

Ahlam Hasan  Qamlo; Bahaa Gaber  Mohammed

doi:10.4236/ica.2013.43032

Ahlam Hasan Qamlo, Bahaa Gaber Mohammed

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.

Keywords: Boundary Control; Elliptic Systems; Conjugation Conditions; Non-Cooperative Systems; Neumann Conditions

Cite this paper: A. Qamlo and B. Mohammed, "Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions," Intelligent Control and Automation, Vol. 4 No. 3, 2013, pp. 280-286. doi: 10.4236/ica.2013.43032.

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