Volterra Functional-Operator Equations in the Theory of Optimal Control of Distributed Systems

被引：8

作者：

Sumin, Vladimir I. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 32期

关键词：

Control of Partial Differential Equations; Optimal Control; Optimization Methods; GLOBAL SOLVABILITY; SUFFICIENT CONDITIONS; TOTAL PRESERVATION; CRITERION;

D O I：

10.1016/j.ifacol.2018.11.454

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A survey of the results obtained in the theory of optimization of distributed systems by the method of Volterra functional-operator equations is given. Topics are considered: the conditions for preserving the global solvability of controllable initial-boundary value problems, optimality conditions, singular controlled systems in the sense of J.L. Lions, singular optimal controls, numerical optimization methods substantiation and others. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：759 / 764

页数：6

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