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An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator
Department of Mathematics, Faculty of Applied sciences, Umm AL-Qura University, Makkah, KSA
- 1 Department of Mathematics, Faculty of Applied sciences, Umm AL-Qura University, Makkah, KSA
Intelligent Control and Automation·Volume 05 (2014)·Pages 262–271·Published 15 October 2014·DOI10.4236/ica.2014.54028
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Abstract
In this paper, we consider cooperative hyperbolic systems involving Schr ? dinger operator defined on R n . First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.
KeywordsHyperbolic SystemsSchrödinger OperatorBoundary Control ProblemBoundary ObservationCooperative
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