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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 268, Pages 231–251 (Mi tm2865)  
This article is cited in 3 scientific papers (total in 3 papers)

Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances

Yuri S. Ledyaeva, Richard B. Vinterb

a Department of Mathematics, Western Michigan University, Kalamazoo, MI, USA
b Department of Electrical and Electronic Engineering, Imperial College London, London, UK
Full-text PDF (282 kB) Citations (3)
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Abstract: We consider a nonlinear control system which, under persistently acting disturbances, can be asymptotically driven to the origin by some non-anticipating strategy with infinite memory (such a strategy determines a value of control $u(t)$ at moment $t$ using complete information on the prehistory of disturbances until moment $t$). We demonstrate that this property is equivalent to the existence of a robust stabilizing (possibly discontinuous) feedback $k(x)$.
Received in January 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 268, Pages 222–241
DOI: https://doi.org/10.1134/S0081543810010153
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: Russian
Citation: Yuri S. Ledyaev, Richard B. Vinter, “Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 231–251; Proc. Steklov Inst. Math., 268 (2010), 222–241
Citation in format AMSBIB
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\paper Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances
\inbook Differential equations and topology.~I
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\pages 231--251
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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