Optimal control of time-delay systems with distributed parameters
type: Item
instance of: scholarly article
title: Optimal control of time-delay systems with distributed parameters
zbMATH Open document ID: 0697.49020
DOI: 10.1007/BF00939650
author: Ibrahim Sadek
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: An optimal control problem with a prescribed performance index for parabolic systems with time delays is investigated. A necessary condition for optimality is formulated and proved in the form of a maximum principle. Under additional conditions, the maximum principle gives sufficient conditions for optimality. It is also shown that the optimal control is unique. As an illustration of the theoretical consideration, an analytic solution is obtained for a time-delayed diffusion system.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49K25
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 4142881
zbMATH Keywords: parabolic systems
zbMATH Keywords: time delays
zbMATH Keywords: maximum principle
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4142881