Distributed Control for Non-Cooperative Systems Under Conjugation Conditions

A. A. Alsaban; H. M. Serag; Lamiaa Mohamed Abdelrhman

A. A. Alsaban Department of Mathematics, Faculty of Science, Ibb University, Ibb, Yemen
H. M. Serag Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Lamiaa Mohamed Abdelrhman Department of Mathematics, Faculty of Science, Al-Azhar University [for girls], Nasr City, Cairo, Egypt

Keywords: Non cooperative elliptic systems - Conjugation conditions - Dirichlet and Neumann conditions - Existence and uniqueness of solutions - Distributed control

Abstract

In this paper, the distributed control for non-cooperative elliptic systems under conjugation conditions is established. First, the existence and uniqueness of the state for these systems with Dirichlet and conjugation conditions is proved, then the set of equations and inequalities that characterizes the distributed control of these systems is found. The non-cooperative Neumann systems with conjugation conditions is also discussed.

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References

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