Sufficient Conditions of Optimality for Second Order Differential Inclusions
Engineering Mathematics
Volume 1, Issue 1, December 2017, Pages: 1-6
Received: Dec. 12, 2016; Accepted: Dec. 21, 2016; Published: Jan. 16, 2017
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Authors
Gulgun Kayakutlu, Industrial Engineering Department, Istanbul Technical University, Istanbul, Turkey
Elimhan N. Mahmudov, Department of Mathematics, Istanbul Technical University, Istanbul, Turkey; Azerbaijan National Academy of Sciences, Institute of Control Systems, Baku, Azerbaijan
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Abstract
In this paper we are concerned with the Bolza problem (PC) for second order differential inclusions (SODIs). The aim is to derive sufficient conditions of optimality for a problem (PC). The basic concept of obtaining these conditions is the locally adjoint mappings (LAMs). Besides the transversality conditions, approaches to the general problem therefore involve distinctive Euler-Lagrange and Hamiltonian kind of adjoint inclusions. Furthermore, the aim of the considered “linear” problem with SODIs is to show the reader, by example, how the obtained results can be applied in practice.
Keywords
Differential Inclusion, Cauchy, Euler-Lagrange, Adjoint, Multivalued, Second Order, Transversality
To cite this article
Gulgun Kayakutlu, Elimhan N. Mahmudov, Sufficient Conditions of Optimality for Second Order Differential Inclusions, Engineering Mathematics. Vol. 1, No. 1, 2017, pp. 1-6. doi: 10.11648/j.engmath.20170101.11
Copyright
Copyright © 2017 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/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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