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Estimates for attainability sets of control systems

Estimates for attainability sets of control systems We consider an approach to the estimation of attainability sets of a control system for solving various control problems. The approach is based on two types of extension of the system, by weakening the finite constraints describing the set of velocities and by diminishing the order of the differential constraint. By combining extensions of both types, one can obtain a sufficiently wide class of estimates from which one can then choose the most effective estimates from the viewpoint of accuracy or simplicity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Estimates for attainability sets of control systems

Differential Equations , Volume 45 (11) – Dec 23, 2009

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266109110093
Publisher site
See Article on Publisher Site

Abstract

We consider an approach to the estimation of attainability sets of a control system for solving various control problems. The approach is based on two types of extension of the system, by weakening the finite constraints describing the set of velocities and by diminishing the order of the differential constraint. By combining extensions of both types, one can obtain a sufficiently wide class of estimates from which one can then choose the most effective estimates from the viewpoint of accuracy or simplicity.

Journal

Differential EquationsSpringer Journals

Published: Dec 23, 2009

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