Optimal Feedback in a Linear-Quadratic Optimal Control Problem for a Fractional-Order System

被引：2

作者：

Gomoyunov, M. I. ^{[1
,2
]}

Lukoyanov, N. Yu. ^{[1
]}

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620108, Russia

[2] Udmurt State Univ, Izhevsk 426034, Russia

来源：

DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 08期

关键词：

INTEGRODIFFERENTIAL CALCULUS;

D O I：

10.1134/S0012266123080104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a dynamical system described by a linear differential equation with a Caputo fractional derivative, we consider an optimal control problem of minimizing a quadratic terminal-integral performance functional. We propose and justify the construction of optimal feedback (optimal control synthesis) that generates the corresponding optimal control for any initial state of the system.

引用

页码：1117 / 1129

页数：13

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