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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 981–997 (Mi zvmmf4701)  
This article is cited in 21 scientific papers (total in 21 papers)

A maximum principle for smooth optimal impulsive control problems with multipoint state constraints

V. A. Dykhtaa, O. N. Samsonyukb

a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
b Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (2016 kB) Citations (21)
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Abstract: A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed instants of time is considered. Features of this problem are discussed from the viewpoint of the extension of the classical optimal control problem with the corresponding state constraints. A necessary optimality condition is formulated in the form of a smooth maximum principle; thorough comments are given, a short proof is presented, and examples are discussed.
Key words: impulsive control, trajectories of bounded variation, intermediate state constraints, maximum principle, smooth constrained optimal control problems.
Received: 15.09.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 942–957
DOI: https://doi.org/10.1134/S0965542509060050
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. A. Dykhta, O. N. Samsonyuk, “A maximum principle for smooth optimal impulsive control problems with multipoint state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 981–997; Comput. Math. Math. Phys., 49:6 (2009), 942–957
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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