Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions

DOI: 10.4236/ica.2013.43032   PDF   HTML     3,414 Downloads   4,742 Views   Citations

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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