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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 3, Pages 391–404
DOI: https://doi.org/10.31857/S0044466920030060 (Mi zvmmf11043) 		 
On the relation between the properties of a degenerate linear-quadratic control problem and the Euler–Poisson equation

V. F. Chistyakova, E. V. Chistyakovaa, T. D. Phuongb

a Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
b Institute of Mathematics, Vietnam Academy of Science and Technologies, Hanoi, Vietnam
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DOI: https://doi.org/10.31857/S0044466920030060
Abstract: A quadratic functional with linear constraints in the form of differential equations with identically degenerate matrices multiplying the derivative of the state vector function is considered. The structure of the general solutions of such systems and some of their properties are discussed. On this basis, the conditions for the non-negativity of the objective functional and small deviation of the control from the stationary point for small values of the functional are obtained.
Key words: quadratic functional, perfect square, differential-algebraic equations, index.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00643
This work was supported in part by the Russian Foundation for Basic Research (project no. 18-01-00643).
Received: 03.09.2019
Revised: 29.10.2019
Accepted: 18.11.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 3, Pages 390–403
DOI: https://doi.org/10.1134/S0965542520030069
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. F. Chistyakov, E. V. Chistyakova, T. D. Phuong, “On the relation between the properties of a degenerate linear-quadratic control problem and the Euler–Poisson equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 391–404; Comput. Math. Math. Phys., 60:3 (2020), 390–403
Citation in format AMSBIB
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