Methods of non-local improvement for admissible controls in linear problems with delay
type: Item
instance of: scholarly article
title: Methods of non-local improvement for admissible controls in linear problems with delay
zbMATH Open document ID: 1010.49017
author: E. I. Pudalova
author: Vladimir Andreevich Srochko
published in: Russian Mathematics
publication date: 2003-05-07T00:00:00Z
review text: The authors derive formulas for improvement of the performance index for linear control problems described by ODEs with constant delay in state. Contrary to traditional variations of controls (that have a local character) used in the proof of Pontryagin's maximum principle, the formulas mentioned above give a possibility to obtain non-local improvement of admissible controls. Two illustrative examples are discussed in detail. Further construction of convergent iterative optimization methods (one of them using the projection operator) based on non-local improvement of admissible controls are described.
reviewed by: Wiesław Kotarski
Mathematics Subject Classification ID: 49K25
Mathematics Subject Classification ID: 49M05
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 1758720
zbMATH Keywords: linear systems with delay
zbMATH Keywords: ODE
zbMATH Keywords: non-local improvement of admissible controls
zbMATH Keywords: iterative optimization methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758720