OPTIMAL STABILIZATION IN DIFFERENCE EQUATIONS-Reference-Cited by-同舟云学术

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OPTIMAL STABILIZATION IN DIFFERENCE EQUATIONS

Published:2024 Issue:1 Volume: Page:59-65
ISSN:2706-9680
Container-title:Journal of Numerical and Applied Mathematics
language:
Short-container-title:JNAM

Author:

Khusainov D. Ya., ,Hahurin Y. R.,

Abstract

The paper deals with the problem of optimal stabilization for difference equations. The use of Lyapunov functions for optimal stabilization is discussed. The theorem of optimal stabilization is proved and the form of optimal control for the considered class of problems is determined.

Publisher

Taras Shevchenko National University of Kyiv

Reference11 articles.

1. 1. Malkin I.G. Theory of stability of motion. M.: Nauka, 1966. 532 p.

2. 2. Halanai A., Wexler D. Qualitative theory of impulse systems. Mir Publishing House, Moscow, 1971. 309 p.

3. 3. Martyniuk D.I. Lectures on the qualitative theory of difference equations. Kyiv: Naukova Dumka. 1972. 246 p.

4. 4. Rusch N, Abets P, Lalois M. The direct Lyapunov method in stability theory. Mir Publishing House, Moscow, 1980. 300 p.

5. 5. Slyusarchuk V.Yu. Stability of solutions of differential equations in Banach space. Rivne: UDUVHP Publishing House, 2003. 366 p.

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