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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 2, Pages 209–219 (Mi zvmmf10674)  

New external estimate for the reachable set of a nonlinear multistep dynamic system

A. V. Lotov

Dorodnicyn Computing Center, Federal Research Center УComputer Science and ControlФ, Russian Academy of Sciences, Moscow, Russia

Abstract: An approach is proposed for estimating the reachable set of a nonlinear multistep dynamic system by approximating the effective hull of this set. The approximation of the effective hull relies on local optimization of specially chosen functions of the system's state. Methods using global optimization of such functions are briefly described. Approximation methods based on local optimization are considered as applied to the effective hull of a reachable set, and a statistical estimate for the quality of the effective hull approximation is constructed.

Key words: nonlinear dynamic system, reachable set, effective hull, approximation, local optimization.

Funding Agency Grant Number
Russian Science Foundation 14-11-00432


DOI: https://doi.org/10.7868/S0044466918020060

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:2, 196–206

Bibliographic databases:

Received: 30.04.2017

Citation: A. V. Lotov, “New external estimate for the reachable set of a nonlinear multistep dynamic system”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 209–219; Comput. Math. Math. Phys., 58:2 (2018), 196–206

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  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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