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Izvestiya: Mathematics, 2012, Volume 76, Issue 1, Pages 1–38
DOI: https://doi.org/10.1070/IM2012v076n01ABEH002573 (Mi im4435) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Chattering regimes and Lagrangian manifolds in problems with phase constraints

V. F. Borisov, V. V. Gaela, M. I. Zelikina

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (466 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2012v076n01ABEH002573
Abstract: Given a class of optimal control problems with a phase constraint, we construct a Lagrangian manifold containing extremals with countably many tangencies to the boundary of that constraint. The construction proceeds by resolving the singularities of the Hamiltonian system of the problem at the accumulation point of the points of contact of extremals with that boundary.
Keywords: phase constraints, Pontryagin's maximum principle, Lagrangian manifolds, chattering regimes, blow up.
Received: 08.02.2010
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49J15, 49K15, 90C25
Language: English
Original paper language: Russian
Citation: V. F. Borisov, V. V. Gael, M. I. Zelikin, “Chattering regimes and Lagrangian manifolds in problems with phase constraints”, Izv. Math., 76:1 (2012), 1–38
Citation in format AMSBIB
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\by V.~F.~Borisov, V.~V.~Gael, M.~I.~Zelikin
\paper Chattering regimes and Lagrangian manifolds in problems with phase constraints
\jour Izv. Math.
\yr 2012
\vol 76
\issue 1
\pages 1--38
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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