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

被引:0
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作者
N. T. Toan
Q. H. Ansari
J.-C. Yao
机构
[1] Hanoi University of Science and Technology,School of Applied Mathematics and Informatics
[2] National Sun Yat-sen University,Department of Applied Mathematics
[3] Aligarh Muslim University,Department of Mathematics
[4] King Fahd University of Petroleum & Minerals,Department of Mathematics and Statistics
[5] Kaohsiung Medical University,Center for Fundamental Science
[6] King Abdulaziz University,Department of Mathematics
关键词
First-order optimality conditions; Second-order optimality conditions; Discrete optimal control problems; Control constraints; 49J21; 49K21; 93C55;
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摘要
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.
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页码:812 / 836
页数:24
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