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.
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页码：1117 / 1129
页数：13
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