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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 13–27 (Mi at2270)  
This article is cited in 4 scientific papers (total in 4 papers)

Topical issue

Hamilton–Jacobi inequalities and the optimality conditions in the problems of control with common end constraints

V. A. Dykhta, S. P. Sorokin

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (258 kB) Citations (4)
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Abstract: The canonical theory of the necessary and sufficient conditions for global optimality based on the sets of nonsmooth solutions of the differential Hamilton–Jacobi inequalities of two classes of weakly and strongly monotone Lyapunov type functions was developed. These functions enable one to estimate from above and below the objective functional of the optimal control problem and determine the internal and external approximations of the reachability set of the controlled dynamic system.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1808–1821
DOI: https://doi.org/10.1134/S0005117911090037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Dykhta, S. P. Sorokin, “Hamilton–Jacobi inequalities and the optimality conditions in the problems of control with common end constraints”, Avtomat. i Telemekh., 2011, no. 9, 13–27; Autom. Remote Control, 72:9 (2011), 1808–1821
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :119
    References:71
    First page:16
     
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