Search

Your search keyword '"Maksimov, A. I."' showing total 1,345 results
Start Over Author "Maksimov, A. I."
1,345 results on '"Maksimov, A. I."'

14. STABLE SOLUTION OF THE GUARANTEED CONTROL PROBLEM FOR SYSTEMS OF DIFFERENTIAL EQUATIONS

Author

Blizorukova, M. S. and Maksimov, V. I.

Subjects
Differential equations, Mathematics
Abstract

We consider the guaranteed control problem for a system of ordinary differential equations under conditions of inaccurate measurement of solutions. We propose two algorithms for solving the problem and obtain estimates for their convergence rate. Bibliography: 4 titles., 1 Introduction. Statement of the Problem This paper continues the study of [1] (cf. also [2, 3]). On the time-segment T we are given the n-dimensional system x(t) = F(t, [...]

Published
2023
Full Text
View/download PDF

23. Application of locally regularized extremal shift to the problem of realization of a prescribed motion.

Author

Osipov, Yury S. and Maksimov, Vyacheslav I.

Subjects
*ALGORITHMS, *METRIC spaces, *DIFFERENTIABLE functions, *DIFFERENTIAL equations, *FUNCTION spaces
Abstract

A controlled system of differential equations under the action of an unknown disturbance is considered. The problem discussed in the paper consists in constructing algorithms for forming a control that provides the realization of a prescribed motion for any admissible disturbance. Namely these algorithms should provide the closeness in the metric of the space of differentiable functions of a phase trajectory of a given controlled system and some etalon trajectory of an analogous system functioning when any outer actions are absent. As the space of admissible disturbances, we take the space of measurable square integrable (with respect to the Euclidean norm) functions. The cases of inaccurate measurements of phase trajectories of both systems at all times and at discrete times are under study. Two computer oriented algorithms for solving the problem are designed. The algorithms are based on the (well-known in the theory of guaranteed control) method of extremal shift. In the process, its local (at each time of control correction) regularization is performed by the method of smoothing functional (the Tikhonov method). In addition, estimates for algorithm's convergence rate are presented. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

24. Numerical Analytical Study of Hydroturbines with Flexible Blades

Author

Terentyev, Aleksey G., Maksimov, Ivan I., Fedorov, Nikolay A., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, and Bogoviz, Aleksei V., editor

Published
2021
Full Text
View/download PDF

33. On a stable solution of the problem of disturbance reduction

Author

Maksimov Vyacheslav I.

Subjects
disturbance reduction, dynamical controlled system, guaranteed control theory, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95
Abstract

We study the problem of active reduction of the influence of a disturbance on the output of a linear control system. We consider a system of linear differential equations under the action of an unknown disturbance and a control to be formed. Our goal is to design an algorithm for reducing the disturbance by means of an appropriate control on the basis of inaccurate measurements of the system phase coordinates. This algorithm should form a feedback control that would guarantee that the trajectory of a given system tracks the trajectory of the reference system, i.e., the system described by the same differential equations but with zero control and disturbance. We present an algorithm for solving this problem. The algorithm, based on the constructions of guaranteed control theory, is stable with respect to informational noises and computational errors.

Published
2021
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results