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A Coordinate-Wise Estimate of the Reachability Set of a Controlled System

A Coordinate-Wise Estimate of the Reachability Set of a Controlled System The problem of a coordinate-wise estimate of the reachability set for nonlinear controlled systems is considered. Estimates of this kind are useful because they allow us at least in rough form to assess the dynamic possibilities of a controlled system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Moscow University Computational Mathematics and Cybernetics Springer Journals

A Coordinate-Wise Estimate of the Reachability Set of a Controlled System

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Mathematics; Mathematics, general
ISSN
0278-6419
eISSN
1934-8428
DOI
10.3103/S0278641918020048
Publisher site
See Article on Publisher Site

Abstract

The problem of a coordinate-wise estimate of the reachability set for nonlinear controlled systems is considered. Estimates of this kind are useful because they allow us at least in rough form to assess the dynamic possibilities of a controlled system.

Journal

Moscow University Computational Mathematics and Cybernetics – Springer Journals

Published: May 30, 2018

References

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    Matrosov, V. M.
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    Zaitsev, V. V.
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    Chernous’ko, F. L.
  • Ellipsoidal Calculus for Estimation and Control
    Kurzhanskii, A. B.; Valyi, I.
  • On external estimations of reachability sets of nonlinear controlled systems
    Gusev, M. I.
  • On polyhedral estimates of reachability sets of differential systems with bilinear uncertainty
    Kostousova, E. K.
  • Mathematical Theory of Optimal Processes
    Pontryagin, L. S.
  • Foundations of Optimal Control Theory
    Lee, E. B.; Markus, L.
  • On some questions of optimal control
    Filippov, A. F.
  • Ordinary Differential Equations
    Pontryagin, L. S.