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Trudy Instituta Matematiki i Mekhaniki 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
Full-text PDF (2994 kB) Citations (4)
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.
Received: 15.02.2000
Bibliographic databases:
Document Type: Article
Language: English
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://mathscinet.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
Linking options:
  • https://www.mathnet.ru/eng/timm495
  • https://www.mathnet.ru/eng/timm/v6/i1/p91
    • This publication is cited in the following 4 articles:
    1. 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
    2. 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
    3. 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
    4. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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