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Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

N. T. Toan (), Q. H. Ansari () and J.-C. Yao ()
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N. T. Toan: Hanoi University of Science and Technology
Q. H. Ansari: Aligarh Muslim University
J.-C. Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 3, No 8, 812-836

Abstract: Abstract In this paper, we study second-order necessary optimality conditions for a discrete optimal control problem with a nonconvex cost function and control constraints. By establishing an abstract result on second-order necessary optimality conditions for a mathematical programming problem, we derive second-order optimality conditions for a discrete optimal control problem.

Keywords: First-order optimality conditions; Second-order optimality conditions; Discrete optimal control problems; Control constraints; 49J21; 49K21; 93C55 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-014-0648-x

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