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International Journal of Control Volume 88, 2015 - Issue 10
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Original Articles

On necessary optimality conditions in discrete control systems

M.J. MardanovInstitute of Mathematics and Mechanics of NASA, Baku, Azerbaijan
,
T.K. MelikovInstitute of Mathematics and Mechanics of NASA, Baku, Azerbaijan;Institute of Control Systems of NASA, Baku, Azerbaijan
&
N.I. MahmudovEastern Mediterranean University, Gazimagusa, TRNC, Mersin 10, TurkeyCorrespondence[email protected]
Pages 2097-2106 | Received 08 Oct 2014, Accepted 24 Mar 2015, Published online: 29 Apr 2015

Citations (11)

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Teng Song, Bin Liu & Qinglong Zhou. (2022) First-order and second-order necessary optimality conditions concerning components for discrete-time stochastic systems. International Journal of Control 95:10, pages 2695-2709.
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Articles from other publishers (10)

Teng Song & Yong Yao. (2023) Second‐order necessary optimality conditions for discrete‐time stochastic systems. Optimal Control Applications and Methods 45:2, pages 795-810.
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Teng Song. (2023) A general stochastic maximum principle for discrete‐time mean‐field optimal controls. Asian Journal of Control 26:2, pages 636-644.
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Teng Song & Bin Liu. (2024) First- and Second-Order Maximum Principles for Discrete-Time Stochastic Optimal Control With Recursive Utilities. IEEE Transactions on Automatic Control 69:1, pages 43-54.
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Arzu Ahmadova & Nazim I. Mahmudov. (2023) Stochastic maximum principle for discrete time mean‐field optimal control problems. Optimal Control Applications and Methods 44:6, pages 3361-3378.
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Teng Song & Bin Liu. (2022) First-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay. IMA Journal of Mathematical Control and Information 39:2, pages 731-750.
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Misir J. Mardanov, Telman K. Melikov, Samin T. Malik & Kamran Malikov. (2020) First- and second-order necessary conditions with respect to components for discrete optimal control problems. Journal of Computational and Applied Mathematics 364, pages 112342.
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M. J. Mardanov, T. K. Melikov & S. T. Malik. (2019) On the Theory of Optimal Processes in Discrete Systems. Mathematical Notes 106:3-4, pages 390-401.
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Мисир Джумаил оглы Марданов, Misir Jumail ogly Mardanov, Т К Меликов, Telman K Melikov, Самин Т Малик & Samin T Melik. (2019) K теории оптимальных процессов в дискретных системахOn the Theory of Optimal Processes in Discrete Systems. Математические заметки Matematicheskie Zametki 106:3, pages 409-423.
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Misir J. Mardanov & Samin T. Malik. (2018) Necessary First- and Second-Order Optimality Conditions in Discrete Systems with a Delay in Control. Journal of Dynamical and Control Systems 25:1, pages 29-43.
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M. J. Mardanov & T. K. Melikov. (2019) A New Discrete Analogue of Pontryagin’s Maximum Principle. Doklady Mathematics 98:3, pages 549-551.
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