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Trudy Inst. Mat. i Mekh. UrO RAN, 2000, Volume 6, Number 1, Pages 91–109 (Mi timm495)  

This article is cited in 4 scientific papers (total in 4 papers)

Proximal analysis and feedback construction

F. H. Clarke, Yu. S. Ledyaev, R. J. Stern


Abstract: For problems of stabilizability and state constrained optimal control, the proximal aiming technique of nonsmooth analysis is employed in order to construct discontinuous feedback laws with respect to a generalized solution concept for the underlying dynamics. These feedbacks are universal for prescribed sets of initial data and possess robustness properties with respect to state measurement errors and external disturbances.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2000, suppl. 1, S72–S89

Bibliographic databases:
Received: 15.02.2000
Language:

Citation: F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, “Proximal analysis and feedback construction”, Trudy Inst. Mat. i Mekh. UrO RAN, 6, no. 1, 2000, 91–109; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S72–S89

Citation in format AMSBIB
\Bibitem{ClaLedSte00}
\by F.~H.~Clarke, Yu.~S.~Ledyaev, R.~J.~Stern
\paper Proximal analysis and feedback construction
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2000
\vol 6
\issue 1
\pages 91--109
\mathnet{http://mi.mathnet.ru/timm495}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2066016}
\zmath{https://zbmath.org/?q=an:1116.93031}
\elib{https://elibrary.ru/item.asp?id=12228445}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2000
\issue , suppl. 1
\pages S72--S89


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Clarke F.H., Rifford L., Stern R.J., “Feedback in state constrained optimal control”, ESAIM-Control Optimisation and Calculus of Variations, 7:5 (2002), 97–133  crossref  mathscinet  zmath  isi  scopus
    2. Vdovin S.A., Taras'yev A.M., Ushakov V.N., “Construction of the attainability set of a Brockett integrator”, Pmm Journal of Applied Mathematics and Mechanics, 68:5 (2004), 631–646  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Serov V.P., “Optimal feedback in a dynamic game of generalized shortest path”, Advances in Dynamic Games - APPLICATIONS TO ECONOMICS, MANAGEMENT SCIENCE, ENGINEERING, AND ENVIRONMENTAL MANAGEMENT, Annals of the International Society of Dynamic Games, 8, 2006, 39–62  crossref  mathscinet  zmath  isi
    4. A. V. Arguchintsev, V. A. Dykhta, V. A. Srochko, “Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum”, Russian Math. (Iz. VUZ), 53:1 (2009), 1–35  mathnet  crossref  mathscinet  zmath  elib
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