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On external estimates for reachable sets of nonlinear control systems. / Gusev, M. I.
In: Proceedings of the Steklov Institute of Mathematics, Vol. 275, No. S1, 2011, p. 57-67.

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Harvard

Gusev, MI 2011, 'On external estimates for reachable sets of nonlinear control systems', Proceedings of the Steklov Institute of Mathematics, vol. 275, no. S1, pp. 57-67. https://doi.org/10.1134/S0081543811090057

APA

Gusev, M. I. (2011). On external estimates for reachable sets of nonlinear control systems. Proceedings of the Steklov Institute of Mathematics, 275(S1), 57-67. https://doi.org/10.1134/S0081543811090057

Vancouver

Gusev MI. On external estimates for reachable sets of nonlinear control systems. Proceedings of the Steklov Institute of Mathematics. 2011;275(S1):57-67. doi: 10.1134/S0081543811090057

Author

Gusev, M. I. / On external estimates for reachable sets of nonlinear control systems. In: Proceedings of the Steklov Institute of Mathematics. 2011 ; Vol. 275, No. S1. pp. 57-67.

BibTeX

@article{ccc1e240c7e44421bc9645645cdc49b1,
title = "On external estimates for reachable sets of nonlinear control systems",
abstract = "The paper is devoted to the problem of constructing external estimates for reachable sets of a nonlinear control system. The estimates are constructed in the form of level sets of smooth functions in the space of states satisfying differential inequalities. In the system under consideration, the linear part is found, for which the corresponding functions are assumed to be known. The method proposed for estimating trajectories of a nonlinear system is based on modifying estimates for the linear part and on applying the comparison principle. {\textcopyright} 2011 Pleiades Publishing, Ltd.",
author = "Gusev, {M. I.}",
note = "This work was supported by the Ural Branch of the Russian Academy of Sciences (project no. 09-P-1-1014) within the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences “Mathematical Theory of Control” and by the Russian Foundation for Basic Research (project no. 09-01-00589).",
year = "2011",
doi = "10.1134/S0081543811090057",
language = "English",
volume = "275",
pages = "57--67",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Pleiades Publishing",
number = "S1",

}

RIS

TY - JOUR

T1 - On external estimates for reachable sets of nonlinear control systems

AU - Gusev, M. I.

N1 - This work was supported by the Ural Branch of the Russian Academy of Sciences (project no. 09-P-1-1014) within the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences “Mathematical Theory of Control” and by the Russian Foundation for Basic Research (project no. 09-01-00589).

PY - 2011

Y1 - 2011

N2 - The paper is devoted to the problem of constructing external estimates for reachable sets of a nonlinear control system. The estimates are constructed in the form of level sets of smooth functions in the space of states satisfying differential inequalities. In the system under consideration, the linear part is found, for which the corresponding functions are assumed to be known. The method proposed for estimating trajectories of a nonlinear system is based on modifying estimates for the linear part and on applying the comparison principle. © 2011 Pleiades Publishing, Ltd.

AB - The paper is devoted to the problem of constructing external estimates for reachable sets of a nonlinear control system. The estimates are constructed in the form of level sets of smooth functions in the space of states satisfying differential inequalities. In the system under consideration, the linear part is found, for which the corresponding functions are assumed to be known. The method proposed for estimating trajectories of a nonlinear system is based on modifying estimates for the linear part and on applying the comparison principle. © 2011 Pleiades Publishing, Ltd.

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U2 - 10.1134/S0081543811090057

DO - 10.1134/S0081543811090057

M3 - Article

VL - 275

SP - 57

EP - 67

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - S1

ER -

ID: 37902185