Kh. G. Guseinov, A. S. Nazlipinar, “Attainable sets of the control system with limited resources”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 261

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 261–268 (Mi timm629)

This article is cited in 9 scientific papers (total in 9 papers)

Attainable sets of the control system with limited resources

Kh. G. Guseinov^a, A. S. Nazlipinar^b

^a Anadolu University
^b Dumlupinar University

Full-text PDF (117 kB) Citations (9)

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Abstract: In this article the attainable set of a nonlinear control system with integral constraint on controls is studied. An approximation method has been obtained for numerical construction of the attainable sets.

Keywords: nonlinear control system, integral constraint, attainable set.

Received: 25.12.2009

Bibliographic databases:

Document Type: Article

UDC: 517.977+519.63

Language: English

Citation: Kh. G. Guseinov, A. S. Nazlipinar, “Attainable sets of the control system with limited resources”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 261–268

Citation in format AMSBIB

\Bibitem{GusNaz10}

\by Kh.~G.~Guseinov, A.~S.~Nazlipinar

\paper Attainable sets of the control system with limited resources

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2010

\vol 16

\issue 5

\pages 261--268

\mathnet{http://mi.mathnet.ru/timm629}

\elib{https://elibrary.ru/item.asp?id=15265853}

Linking options:

https://www.mathnet.ru/eng/timm629

https://www.mathnet.ru/eng/timm/v16/i5/p261

This publication is cited in the following 9 articles:

B. T. Samatov, B. I. Zhuraev, “Pursuit-evasion problems under nonlinear increase of the pursuer's resource”, Tr. IMM UrO RAN, 28, no. 3, 2022, 285–295
M. I. Gusev, “Asimptoticheskoe povedenie mnozhestv dostizhimosti nelineinykh sistem s izoperimetricheskimi ogranicheniyami na malykh vremennykh promezhutkakh”, Tr. IMM UrO RAN, 26, no. 1, 2020, 89–101
Mikhail I. Gusev, “The limits of applicability of the linearization method in calculating small-time reachable sets”, Ural Math. J., 6:1 (2020), 71–83
M. I. Gusev, I. O. Osipov, “Asymptotic Behavior of Reachable Sets on Small Time Intervals”, Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S52–S64
Gusev M., “Estimates of the Minimal Eigenvalue of the Controllability Gramian For a System Containing a Small Parameter”, Mathematical Optimization Theory and Operations Research, Lecture Notes in Computer Science, 11548, eds. Khachay M., Kochetov Y., Pardalos P., Springer International Publishing Ag, 2019, 461–473
Gusev M.I., “On Convexity of Reachable Sets of a Nonlinear System Under Integral Constraints”, IFAC PAPERSONLINE, 51:32 (2018), 207–212
I. V. Zykov, “Ob algoritme postroeniya mnozhestv dostizhimosti upravlyaemykh sistem s izoperimetricheskimi ogranicheniyami”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki, 23:122 (2018), 309–316
M. I. Gusev, I. V. Zykov, “On extremal properties of the boundary points of reachable sets for control systems with integral constraints”, Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 114–125
Mikhail I. Gusev, “An algorithm for computing boundary points of reachable sets of control systems under integral constraints”, Ural Math. J., 3:1 (2017), 44–51

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

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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Abstract page:	421
Full-text PDF :	205
References:	79
First page:	8

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