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On an optimal control problem involving first order hyperbolic systems with boundary controls |
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| Authors: | K G Choo K L Teo Z S Wu |
| Institution: | 1. Department of Pure Mathematics , University of Sydney , N.S.W. 2006, Sydney, Australia;2. School of Mathematics , University of New South Wales , N.S.W. 2033, Kensington, Australia;3. Department of Mathematics , Zhongshan University , N.S.W. 2033, Kensington, China, Australia |
| Abstract: | In this paper, we consider an optimal control problem involving a class of first order hyperbolic systems with boundary controls. A computational algorithm which generates minimizing sequences of controls is devised and the convergence properties of the algorithm are investigated. Moreover, a necessary and sufficient condition for optimality is derived and a result on the existence of optimal controls is obtained. |
| Keywords: | Optimal Control Problem First Order Hyperbolic Systems Boundary Controls Necessary and Sufficient Condition Existence Theorem Algorithm Convergence of Algorithm |