Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Boris T. Polyak"'
Autor:
Mikhail V. Khlebnikov, Boris T. Polyak
Publikováno v:
Automation and Remote Control. 82:1530-1553
An optimization approach to linear control systems has recently become very popular. For example, the linear feedback matrix in the classical linear-quadratic regulator problem can be viewed as a variable, and the problem can be reduced to the minimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c02e678b343837ae1c3392410e1ce860
https://doi.org/10.1134/s0005117921090034
https://doi.org/10.1134/s0005117921090034
Publikováno v:
Automation and Remote Control. 82:1-40
The survey deals with the application of linear matrix inequalities to taking into account possible uncertainties (in the system description, exogenous disturbances, and the initial conditions) in the control analysis and synthesis for linear systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aff7ca3303f034feb82b098099eb2ec3
https://doi.org/10.1134/s000511792101001x
https://doi.org/10.1134/s000511792101001x
Autor:
Ilyas Fatkhullin, Boris T. Polyak
Publikováno v:
Computational Mathematics and Mathematical Physics. 60:795-807
The problem of minimizing the energy of a system of $$N$$ points on a sphere in $${{\mathbb{R}}^{3}}$$ , interacting with the potential $$U = \tfrac{1}{{{{r}^{s}}}}$$ , $$s > 0$$ , where $$r$$ is the Euclidean distance between a pair of points, is co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c6ad77578cfd5049129677bbb8339c0
https://doi.org/10.1134/s0965542520050127
https://doi.org/10.1134/s0965542520050127
Publikováno v:
Numerical Functional Analysis and Optimization. 41:822-849
Minimization of a smooth function on a sphere or, more generally, on a smooth manifold, is the simplest non-convex optimization problem. It has a lot of applications. Our goal is to propose a version of the gradient projection algorithm for its solut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ef8839fe7a848d66ac60e4ea1a77f46
https://doi.org/10.1080/01630563.2019.1704780
https://doi.org/10.1080/01630563.2019.1704780
Autor:
Alexander L. Fradkov, Boris T. Polyak
Publikováno v:
IFAC-PapersOnLine. 53:1373-1378
Control theory in the USSR after WW2 achieved serious successes in such fields as optimal control, absolute stability, delay systems, pulse and relay control. Later there was a huge peak of breakthrough research on adaptation, learning and pattern re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33a2e77deb97d7664889ae1ca25b35d0
https://doi.org/10.1016/j.ifacol.2020.12.1882
https://doi.org/10.1016/j.ifacol.2020.12.1882
Publikováno v:
IFAC-PapersOnLine. 53:4762-4767
From the literature, it is known that solutions of homogenous linear stable difference equations may experience large deviations, or peaks, from the nonzero initial conditions at finite time instants. In this paper we take a probabilistic standpoint
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60eff8ca895cf3fffd9c6072b4279a7d
https://doi.org/10.1016/j.ifacol.2020.12.1001
https://doi.org/10.1016/j.ifacol.2020.12.1001
Autor:
Boris T. Polyak, L. A. Shalby
Publikováno v:
Automation and Remote Control. 80:2217-2228
We consider the motion of a spacecraft described by the differential equations of the three-body problem in the Earth-Moon system. The goal is to stabilize the spacecraft in the neighborhood of the collinear Lagrangian points (which are know to be un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c48c5ce16348a147ed598c150d82786
https://doi.org/10.1134/s0005117919120105
https://doi.org/10.1134/s0005117919120105
Autor:
Boris T. Polyak, Andrey Tremba
Publikováno v:
Optimization Methods and Software. 35:1272-1303
Newton method is one of the most powerful methods for finding solutions of nonlinear equations and for proving their existence. In its ‘pure’ form it has fast convergence near the solution, but sma...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9e9e8873656b14e84371023918b8ce7
https://doi.org/10.1080/10556788.2019.1669154
https://doi.org/10.1080/10556788.2019.1669154
Autor:
Boris T. Polyak, Andrey Tremba
Publikováno v:
Journal of Global Optimization. 76:613-623
We focus on finding sparse and least-$\ell_1$-norm solutions for unconstrained nonlinear optimal control problems. Such optimization problems are non-convex and non-smooth, nevertheless recent versions of Newton method for under-determined equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::634e3381dfe35ca1ef0ee9a0d1aecce4
https://doi.org/10.1007/s10898-019-00784-z
https://doi.org/10.1007/s10898-019-00784-z
Autor:
Ya.Z. Tsypkin, Boris T. Polyak
Publikováno v:
CONTROL of UNCERTAIN DYNAMIC SYSTEMS ISBN: 9781003067702
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3eb0f0f6a06118c86a983a49e74cebd6
https://doi.org/10.1201/9781003067702-38
https://doi.org/10.1201/9781003067702-38
