The variational maximum principle and second-order optimality conditions for impulse processes and singular processes
type: Item
instance of: scholarly article
title: The variational maximum principle and second-order optimality conditions for impulse processes and singular processes
zbMATH Open document ID: 0833.49015
DOI: 10.1007/BF02104943
published in: Siberian Mathematical Journal
publication date: 1995-09-18T00:00:00Z
review text: The author considers a class of optimal control problems that admit an impulse-trajectory extension, i.e., for processes with discontinuous trajectories and controls of impulse type. At first is studied correctness of constructive methods of extension which are based on special transformations of the initial problem and provide a characterization for impulse processes which does not relate to the transformation. Secondly, there are established necessary and sufficient optimality conditions for an impulse process which correspond the deciphering of the Pontryagin minimum conditions for the transformed problem in terms of the initial problem.
reviewed by: Gheorghe Aniculăesei
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 794616
zbMATH Keywords: optimal control
zbMATH Keywords: impulse-trajectory extension
zbMATH Keywords: optimality conditions
zbMATH Keywords: impulse process
zbMATH Keywords: Pontryagin minimum conditions
author: Vladimir Dykhta
MaRDI profile type: Publication
cites work: Q3825006
cites work: Q5719719
cites work: Q4711784
cites work: Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
cites work: On a constrained variational problem and the space of horizontal paths
full work available at URL: https://doi.org/10.1007/bf02104943
OpenAlex ID: W2046838141
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description: scientific article; zbMATH DE number 794616