Pure and Applied Mathematics Journal
Volume 5, Issue 3, June 2016, Pages: 77-81
Received: Apr. 16, 2016;
Accepted: Apr. 28, 2016;
Published: May 10, 2016
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Estomih Shedrack Massawe, Department of Mathematics, College of Natural Sciences, University of Dar es Salaam, Dar es Salaam, Tanzania
In this paper, an optimal control for Hamiltonian control systems with external variables will be formulated and analysed. Necessary and sufficient conditions which lead to Pantryagin’s principle are stated and elaborated. Finally it is shown how the Pontryagin’s principle fits very well to the theory of Hamiltonian systems. The case of Potryagin’s maximum principle will be considered in detail since it is capable of dealing with both unbounded continuous controls and bounded controls which are possibly discontinuous.
Estomih Shedrack Massawe,
Optimal Control and Hamiltonian System, Pure and Applied Mathematics Journal.
Vol. 5, No. 3,
2016, pp. 77-81.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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