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Sufficient Conditions for Nesting the Reachable Sets of Two Smooth Control Systems of Constant Rank and Linear in Phase Variables

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Abstract

Sufficient conditions for nesting the reachable sets of smooth control systems of constant rank and linear in phase variables are formulated. Sets that are reachable from an arbitrary point in time T and in a time not greater than T are determined. Examples are given.

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Authors and Affiliations

  1. Moscow State Institute of Steel and Alloys, Moscow, Russia

    M. V. Topunov

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  1. M. V. Topunov
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__________

Translated from Avtomatika i Telemekhanika, No. 12, 2005, pp. 114–124.

Original Russian Text Copyright © 2005 by Topunov.

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Topunov, M.V. Sufficient Conditions for Nesting the Reachable Sets of Two Smooth Control Systems of Constant Rank and Linear in Phase Variables. Autom Remote Control 66, 1972–1982 (2005). https://doi.org/10.1007/s10513-005-0229-4

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  • DOI: https://doi.org/10.1007/s10513-005-0229-4

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