Nonconvex optimal control of nonlinear monotone parabolic systems
type: Item
instance of: scholarly article
title: Nonconvex optimal control of nonlinear monotone parabolic systems
zbMATH Open document ID: 0604.49004
DOI: 10.1016/0167-6911(86)90030-7
author: I. Chryssoverghi
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: An optimal control problem is studied for distributed systems governed by nonlinear parabolic PDE's with state constraints. The state equation is monotone in the state variable and nonlinear in the control variable. The constraints and the cost functional are not necessarily convex. Relaxed controls are used to prove the existence of an optimal control. Moreover, a minimum principle of relaxed optimality of Pontryagin type is established. The relaxation technique can also be used to develope numerical methods for solving nonconvex optimal control problems of systems defined by PDE's.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 49M20
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3975731
zbMATH Keywords: nonlinear parabolic PDE's with state constraints
zbMATH Keywords: Relaxed controls
zbMATH Keywords: minimum principle
zbMATH Keywords: nonconvex optimal control problems
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90030-7
OpenAlex ID: W2085498455
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description: scientific article; zbMATH DE number 3975731