The p-order maximum principle for an irregular optimal control problem

The general optimal control problem subject to irregular constraints is considered for which the factor of the objective functional in Pontryagin’s function may vanish. It turns out that, in the case of p-regular constraints, this drawback can be overcome and a constructive version of the p-order ma...

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Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 57; no. 9; pp. 1453 - 1458
Main Authors Prusinska, A., Tret’yakov, A. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2017
Springer Nature B.V
Subjects
Computational mathematics
Computational Mathematics and Numerical Analysis
Control theory
Mathematics
Mathematics and Statistics
Maximum principle
Optimal control
Production planning
order implicit function theorem
regular Pontryagin’s maximum principle
singular optimal control problem
generalized Lyusternik theory
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Summary:The general optimal control problem subject to irregular constraints is considered for which the factor of the objective functional in Pontryagin’s function may vanish. It turns out that, in the case of p-regular constraints, this drawback can be overcome and a constructive version of the p-order maximum principle can be formulated.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542517090111