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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 146–155 (Mi tm770)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Solution of the Trajectory Survival Problem for a Nonlinear Dynamical System

L. N. Luk'yanova

M. V. Lomonosov Moscow State University
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Abstract: Nonlinear control systems possessing the flatness property are encountered in many applied mathematical models. In this paper, a trajectory survival problem is considered for a specific nonlinear system that possesses the above property. A method based on the properties of the system is proposed for constructing a control that solves the trajectory survival problem when the controlled object moves to the goal set within a bounding set containing an obstacle. Results of numerical calculations of the control and the trajectory of a system with a given initial position are presented.
Received in April 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 139–148
DOI: https://doi.org/10.1134/S0081543808030115
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: L. N. Luk'yanova, “On the Solution of the Trajectory Survival Problem for a Nonlinear Dynamical System”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 146–155; Proc. Steklov Inst. Math., 262 (2008), 139–148
Citation in format AMSBIB
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\by L.~N.~Luk'yanova
\paper On the Solution of the Trajectory Survival Problem for a~Nonlinear Dynamical System
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 262
\pages 146--155
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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