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Application of the perturbation method to the problem of optimizing the transient process in a quasi-linear dynamic system

https://doi.org/10.29235/1561-8323-2022-66-1-21-25

Abstract

The problem of optimizing the transient process in a quasi-linear dynamic system with a performance index, being a linear combination of the energy costs and the process duration, is considered. Asymptotic approximations of a given order to the solution of this problem are constructed.

About the Authors

A. I. Kalinin
Belarusian State University
Belarus

Kalinin Anatoliy I. – D. Sc. (Physics and Mathematics), Professor.

4, Nezavisimosti Ave., 220030, Minsk



L. I. Lavrinovich
Belarusian State University
Belarus

Lavrinovich Leonid I. – Ph. D. (Physics and Mathematics), Associate Professor.

4, Nezavisimosti Ave., 220030, Minsk



References

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2. Krasovskii N. N. Theory of Control of Motion. Moscow, 1968. 476 p. (in Russian).

3. Mordukhovich B. Sh. Existence of Optimal Controls. Sovremennye Problemy Matematiki. Itogi Nauki i Tekhniki [Modern problems of mathematics. The results of science and technology]. Moscow, 1976, vol. 6, pp. 207–271 (in Russian).

4. Kalinin A. I. To the synthesis of optimal control systems. Computational Mathematics and Mathematical Physics, 2018, vol. 58, no. 3, pp. 378–383. https://doi.org/10.1134/s0965542518030065

5. Kalinin A. I. Asymptotic Methods for Optimization of Disturbed Dynamical Systems. Minsk, 2000. 183 p. (in Russian).


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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)