Email this article Method for constructing an external polyhedral estimate of the trajectory tube for a nonlinear dynamic system
- Authors: Lotov A.V.1
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Issue: Vol 95, No 1 (2017)
- Pages: 95-98
- Section: Computer Science
- URL: https://journals.rcsi.science/1064-5624/article/view/224856
- DOI: https://doi.org/10.1134/S1064562417010045
- ID: 224856
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Abstract
A numerical method is proposed for constructing an external polyhedral estimate for the trajectory tube of a nonlinear dynamic system described by a differential inclusion. The method is based on the approximation of cross sections of the trajectory tube (reachable sets) for an auxiliary system described by the convex hull of the graph of the differential inclusion. It produces polyhedral estimates suitable for the direct study of tubes via computer visualization and for the solution of more general problems.
About the authors
A. V. Lotov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Author for correspondence.
Email: avlotov@yandex.ru
Russian Federation, Moscow, 119333
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