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Matematicheskie Zametki, 2001, Volume 69, Issue 2, Pages 235–244
DOI: https://doi.org/10.4213/mzm499 (Mi mzm499) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Idempotent Analog of Resolvent Kernels for a Deterministic Optimal Control Problem

P. Loretia, M. Pedichinib

a University of Rome "La Sapienza"
b Consiglio Nazionale delle Ricerche
Full-text PDF (206 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm499
Abstract: A solution of a discrete Hamilton–Jacobi–Bellman equation is represented in terms of idempotent analysis as a convergent series of integral operators.
Received: 21.01.1998
English version:
Mathematical Notes, 2001, Volume 69, Issue 2, Pages 207–215
DOI: https://doi.org/10.1023/A:1002824402949
Bibliographic databases:
UDC: 517
Language: Russian
Citation: P. Loreti, M. Pedichini, “The Idempotent Analog of Resolvent Kernels for a Deterministic Optimal Control Problem”, Mat. Zametki, 69:2 (2001), 235–244; Math. Notes, 69:2 (2001), 207–215
Citation in format AMSBIB
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\pages 235--244
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\transl
\jour Math. Notes
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\pages 207--215
\crossref{https://doi.org/10.1023/A:1002824402949}
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  • https://www.mathnet.ru/eng/mzm499
  • https://doi.org/10.4213/mzm499
  • https://www.mathnet.ru/eng/mzm/v69/i2/p235
    • This publication is cited in the following 1 articles:
    1. Loreti P., Pedicini M., “An Object-Oriented Approach to Idempotent Analysis: Integral Equations as Optimal Control Problems”, Idempotent Mathematics and Mathematical Physics, Contemporary Mathematics Series, 377, eds. Litvinov G., Maslov V., Amer Mathematical Soc, 2005, 187–208  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:59
    First page:1
     
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