Construction of solutions to control problems for fractional-order linear systems based on approximation models
type: Item
instance of: scholarly article
title: Construction of solutions to control problems for fractional-order linear systems based on approximation models
zbMATH Open document ID: 1469.49030
DOI: 10.1134/S0081543821030093
author: N. Yu. Lukoyanov
author: Mikhail Gomoyunov
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2021-08-03T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49N05
zbMATH DE Number: 7377483
zbMATH Keywords: optimal control
zbMATH Keywords: linear systems
zbMATH Keywords: fractional-order derivatives
zbMATH Keywords: approximation
zbMATH Keywords: time-delay systems
zbMATH Keywords: closed-loop control
MaRDI profile type: Publication
cites work: Q4053412
cites work: Q3911730
cites work: On the theory of differential games of systems with aftereffect
cites work: Stochastic guide for a time-delay object in a positional differential game
cites work: Solution to a zero-sum differential game with fractional dynamics via approximations
cites work: Dynamic right-hand side reconstruction problem for a system of fractional differential equations
cites work: Guarantee optimization in functional-differential systems with a control aftereffect
cites work: On a linear-quadratic problem with Caputo derivative
cites work: Fractional linear control systems with Caputo derivative and their optimization
cites work: Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: problem setting and a study
cites work: Minimum energy control of fractional positive electrical circuits with bounded inputs
cites work: Optimal control of linear systems with fractional derivatives
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems
cites work: The approximation of a problem of analytic design of controls in a system with time-lag
cites work: On the approximate replacement of systems with lag by ordinary dynamical systems
cites work: Q5624032
cites work: A numerical approach for the bifurcation analysis of nonsmooth delay equations
cites work: Differential games on minmax of the positional quality index
full work available at URL: s0081543821030093
OpenAlex ID: W3186533796
description: scientific article; zbMATH DE number 7377483