Singular perturbations in control problems
MG Dmitriev, GA Kurina - Automation and Remote Control, 2006 - Springer
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[图书][B] Multiple time scale dynamics
C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
Сингулярные возмущения в задачах управления
МГ Дмитриев, ГА Курина - Автоматика и телемеханика, 2006 - mathnet.ru
МГДмитриев, ГАКурина, “Сингулярные возмущения в задачах управления”, Автомат. и
телемех., 2006, № 1, 3–51; Autom. Remote Control, 67:1 (2006), 1–43 Автоматика и …
телемех., 2006, № 1, 3–51; Autom. Remote Control, 67:1 (2006), 1–43 Автоматика и …
Symbolic regulator sets for a weakly nonlinear discrete control system with a small step
Y Danik, M Dmitriev - Mathematics, 2022 - mdpi.com
For a class of discrete weakly nonlinear state-dependent coefficient (SDC) control systems,
a suboptimal synthesis is constructed over a finite interval with a large number of steps. A …
a suboptimal synthesis is constructed over a finite interval with a large number of steps. A …
[PDF][PDF] Оценка чувствительности линейной свертки частных критериев при экспертном определении весовых коэффициентов
МГ Дмитриев, ВА Ломазов - Искусственный интеллект и принятие …, 2014 - mathnet.ru
Рассмотрен подход к решению задач многокритериальной оптимизации, основанный
на использовании агрегированного критерия в виде линейной свертки частных …
на использовании агрегированного критерия в виде линейной свертки частных …
Projector approach for constructing the zero order asymptotic solution for the singularly perturbed linear-quadratic control problem in a critical case
GA Kurina, NT Hoai - International Conference on Analysis …, 2018 - ui.adsabs.harvard.edu
Projector approach for constructing the zero order asymptotic solution for the singularly
perturbed linear-quadratic control problem in a critical case - NASA/ADS Now on home page …
perturbed linear-quadratic control problem in a critical case - NASA/ADS Now on home page …
Решение классических задач оптимального управления с погранслоем
СВ Белокопытов, МГ Дмитриев - Автоматика и телемеханика, 1989 - mathnet.ru
Рассматривается применение метода пограничных функций в задачах оптимального
управления с быстрыми и медленными движениями. Этот подход связан с прямым …
управления с быстрыми и медленными движениями. Этот подход связан с прямым …
Zero‐order asymptotic solution of a class of singularly perturbed linear‐quadratic problems with weak controls in a critical case
G Kurina, N Thi Hoai - Optimal Control Applications and …, 2019 - Wiley Online Library
We consider a linear‐quadratic optimal control problem where the second power of a small
parameter stands in front of the derivative and a control in a state equation and in front of a …
parameter stands in front of the derivative and a control in a state equation and in front of a …
Asymptotic solution of a singularly perturbed optimal problem with integral constraint
TH Nguyen - Journal of Optimization Theory and Applications, 2021 - Springer
Using the so-called direct scheme method, an asymptotic expansion of n-th order to the
solution of a class of singularly perturbed linear-quadratic optimal problem with integral …
solution of a class of singularly perturbed linear-quadratic optimal problem with integral …
Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients
GA Kurina, TH Nguyen - Computational Mathematics and Mathematical …, 2012 - Springer
An asymptotic solution of a singularly perturbed linear-quadratic optimal control problem
with discontinuous coefficients is constructed by directly substituting an boundary-layer …
with discontinuous coefficients is constructed by directly substituting an boundary-layer …