Nonsmooth Optimal Control Problem for System with Delay under Conditions of Indeterminacy
Keywords:
control system with delay, uncertainty external influence, terminal functional, nonsmooth problem, conditions of optimality
Abstract
The paper considers a mathematical model of control system with delay under conditions of uncertainty external influence. Optimization problem for nonsmooth terminal functional in the minimum type is researched. The necessary and sufficient conditions of optimality are obtained. Construction algorithm of optimal control is suggested.
References
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2. Clark F . Optimization and non-smooth analysis. John Wiley & Sons, New York, Toronto, Singapore,1983.
3. Demyanov V.F., Rubinov A.M. Foundations of nonsmooth analysis and quasi-differential calculus. Moskow, Nauka, 1990.
4. Blagodatskikh V.I., Filippov A.F. Differential inclusions and optimal control . Proceedings of the Mathematical Institute of the Academy of Sciences of the USSR. Vol.169,1985. -pp. 194-252.
5. Polovinkin E.S.. Multivalued analysis and differential inclusions. Moskow, Fizmatlit, 2015.
6. Otakulov S. Control problems for an ensemble of trajectories of differential inclusions. Lambert Academic Publishing , 2019.
7. Keyn V.N. Optimization of control systems according to the minimax criterion. Moskow, Nauka, 1985.
8. Kurzhanskiy A.B. Control and observation under conditions of uncertainty. Moskow, Nauka, 1977.
9. Kurzhanski A.B., Varaiya P., Dynamics and Control of Trajectory Tubes, Theory and Computation, Systems&Control: Foundations& Appl.,Birkhauser,Boston, 2014.
10. Otakulov S., Rahimov B. Sh., Haydarov T.T. The nonsmoth optimal control problem for ensamble of trajectories of dynamic system under conditions of indeterminacy. Middle European Scientific Bulletin, vol. 5, October 2020. -pp. 38-42.
11. Otakulov S., Kholiyarova F.Kh. On the theory of controlled differential inclusions with delay argument. Reports of the Academy of Sciences of the Republic of Uzbekistan. No. 3, 2005. -pp. 14-17.
12. Otakulov S., Kholiyarova F.Kh. About the conditions of optimality in the minimax problem for controlling differential inclusion with delay. Academicia: An International Multidisciplinary Research Jounal, vol. 10, issue 4, 2020. -pp. 685-694
Published
2021-10-20
How to Cite
Khafizovna, K. F. (2021). Nonsmooth Optimal Control Problem for System with Delay under Conditions of Indeterminacy. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 2(10), 16-21. Retrieved from https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/111
Section
Articles
