Existence theory of optimal controls for distributed parameter systems
type: Item
instance of: scholarly article
title: Existence theory of optimal controls for distributed parameter systems
zbMATH Open document ID: 0770.49005
published in: Kodai Mathematical Journal
publication date: 1993-05-16T00:00:00Z
review text: An existence theory for optimal control problems related with systems described by nonlinear distributed parameter systems are considered. The results are established in the framework of mild solutions for the investigated equations. The Cesari's property and the theory of compact semigroups are used for the proof of the existence of the optimal pair. Optimal control problems for systems described by nonlinear evolutional equations of first and second order and elliptic variational inequalities are investigated. The results can be used for the analysis of many optimal control problems, for example, in singular optimal control systems.
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 167939
zbMATH Keywords: Cesari property
zbMATH Keywords: nonlinear distributed parameter systems
zbMATH Keywords: compact semigroups
author: Jiongmin Yong
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039597
OpenAlex ID: W1993997325
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DOI: 10.2996/KMJ/1138039597
description: scientific article; zbMATH DE number 167939