Abstract:
The main findings of Vladimir Andreevich Yakubovich on the optimal control theory, as well as the studies of the representatives of his school were reviewed.
Presented by the member of Editorial Board:B. T. Polyak
Citation:
A. S. Matveev, “Theory of optimal control in the works of V. A. Yakubovich”, Avtomat. i Telemekh., 2006, no. 10, 120–174; Autom. Remote Control, 67:10 (2006), 1645–1698
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\by A.~S.~Matveev
\paper Theory of optimal control in the works of V.\,A.~Yakubovich
\jour Avtomat. i Telemekh.
\yr 2006
\issue 10
\pages 120--174
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2268319}
\zmath{https://zbmath.org/?q=an:1195.49004}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 10
\pages 1645--1698
\crossref{https://doi.org/10.1134/S0005117906100055}
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Linking options:
https://www.mathnet.ru/eng/at1247
https://www.mathnet.ru/eng/at/y2006/i10/p120
This publication is cited in the following 7 articles:
E. G. Krushel, E. S. Potafeeva, T. P. Ogar, I. V. Stepanchenko, I. M. Kharitonov, Studies in Systems, Decision and Control, 418, Cyber-Physical Systems: Modelling and Industrial Application, 2022, 161
Alexey S. Matveev, “From LQR design to nonconvex global optimization: homage to contribution and impact of V.A. Yakubovich∗∗This work was supported by the RSF 14-21-00041 and the Saint Petersburg State University.”, IFAC-PapersOnLine, 48:11 (2015), 551
Anton V. Proskurnikov, “A new extension of the infinite-dimensional KYP lemma in the coercive case∗∗The paper was partially supported by RFBR, grants 13-0801014 and 14-08-01015, and St. Petersburg State University, grant 6.38.230.2015. Theorem 10 in Section 4 is supported solely by Russian Scientific Foundation (RSF), grant 14-29-00142.”, IFAC-PapersOnLine, 48:11 (2015), 246
Anton V. Proskurnikov, “Universal controllers of V.A. Yakubovich: a systematic approach to LQR problems with uncertain external signals∗∗The paper was partially supported by RFBR, grants 13-08-01014 and 14-08-01015, and St. Petersburg State University, grant 6.38.230.2015. Theorems 6 and 13 are obtained at Institute for Problems of Mechanical Engineering RAS and supported solely by Russian Scientific Foundation (RSF), grant 14-29-00142.”, IFAC-PapersOnLine, 48:11 (2015), 557
A. E. Barabanov, “Invariance and polynomial design of strategies in the linear-quadratic game”, Autom. Remote Control, 67:10 (2006), 1547–1572
B. R. Andriesky, A. L. Fradkov, “Method of passification in adaptive control, estimation, and synchronization”, Autom. Remote Control, 67:11 (2006), 1699–1731
S. V. Gusev, A. L. Likhtarnikov, “Kalman-Popov-Yakubovich lemma and the S-procedure: A historical essay”, Autom. Remote Control, 67:11 (2006), 1768–1810
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