The nonsmoth optimal control problem for ensamble of trajectories of dynamic system under conditions of indeterminaci
DOI:
https://doi.org/10.47494/mesb.v5i.53Keywords:
differential inclusion, control system, information model, minimax problem, optimalityAbstract
In the paper we consider the one model of dynamic system under conditions of indeterminacy – linear controllable differential inclusions. For the informational model of the control system the minimax control problem for ensemble trajectories is researched. This control problem is study with a methods nonsmooth and multi-value analysis. The necessary and sufficient conditions of optimality are obtained.
Downloads
References
Kane V.N. Optimization of control systems by minimax criterion. Moskow, Nauka, 1985.
Clarke F. Optimization and nonsmooth analysis, Willey & Sons, Ney York, 1983.
Demyanov V.F., Rubinov A.M. Fundamentals of nonsmooth analysis and quasidifferential calculus. Moskow, Nauka, 1990.
Plotnikov A. V. Controlled quasidifferential equations and some of their properties . Differential equations. Vol. 34, No. 10 (1998). pp. 1332-1336.
Plotnikov A.V., Komleva T.A. Piecewise constant controlled linear fuzzy differential inclusions. Universal Journal of Applied Mathematics. 2013, 1(2). pp. 39-43.
Otakulov S. Problems for controlling an ensemble of trajectories of differential inclusions. LAP LAMBERT Academic Publishing, 2019.
Otakulov S., Kholiyarova F.Kh. About conditions of controllability of ensamble trajectories of differential inclusion with delay. International Journal of Statistics and Applied Mathematics.vol. 5 (3), 2020. pp. 59–65.
Otakulov S., Rahimov B. Sh. About the property of controllability an ensamble of trajectories of differential inclusion. International Enjineering Journal for Research & Development(IEJRD). Vol.5, issue 4, 2020. pp.366-374. DOI:10.17605/OSF.IO/AXW36
Otakulov S.,Haydarov T.T. The nonsmooth control problem for dinamic system with parameter under conditions of incomplete initial date. International Conference On Innovation Perspectives, Psychology and Social Studies (ICIPPCS-2020), june 2020. International Engineering Journal for Research & Development. pp.211-214. DOI: https://doi.org/10.17605/OSF.10/BN39W
Otakulov S., Kholiyarova F.Kh. Time optimal control problem of ensemble trajectories of differential inclusion with delays. Journal of Advanced Research in dynamical and Control Systems, vol.12, issue 6, 2020. pp. 1043-1050. DOI: 10/5373/ JARDCS/V1216/S20201129
Otakulov S., Kholiyarova F.Kh. About the conditions of optimality in the minimax problem for controlling differential inclusion with delay. Academica: An International Multidisciplinary Research Jounal,Vol.10, Issue 4 , 2020. pp. 685–694. DOI.10.5958/2249-7137.2020.00133.0
Otakulov S., Musayev A.O. Application property of kvazidifferentiality function maximum and minimum type to the problem nonsmoth optimization.
Colloqium-journal. Miedzynarodowe czasopismo naukowe. № 12(64), 2020. pp. 55-60. DOI. 10.24411/2520-6990-2020-11795.
Varga J. Optimal control of differential and functional equatoions. Academic Press, New York and London, 1975.
Published
How to Cite
Issue
Section
Copyright (c) 2020 Otakulov Salim, Rahimov Boykxuroz Shermuhamedovich, Haydarov Tulkinjon Turgunbayevich
This work is licensed under a Creative Commons Attribution 4.0 International License.
The work simultaneously licensed under a Creative Commons Attribution 4.0 International License
You are free to:
- Share — copy and redistribute the material in any medium or format
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
