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Controllability of linear nonstationary systems with scalar input and quasidifferentiable coefficients

Controllability of linear nonstationary systems with scalar input and quasidifferentiable... We suggest a method for studying the controllability of linear nonstationary systems of ordinary differential equations. The method is based on the quasidifferentiability of the coefficients with respect to a specially constructed lower-triangular matrix. This approach permits substantially weakening the well-known smoothness conditions imposed on the coefficients when stating controllability criteria. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Controllability of linear nonstationary systems with scalar input and quasidifferentiable coefficients

Differential Equations , Volume 49 (8) – Nov 7, 2013

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References (27)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113080107
Publisher site
See Article on Publisher Site

Abstract

We suggest a method for studying the controllability of linear nonstationary systems of ordinary differential equations. The method is based on the quasidifferentiability of the coefficients with respect to a specially constructed lower-triangular matrix. This approach permits substantially weakening the well-known smoothness conditions imposed on the coefficients when stating controllability criteria.

Journal

Differential EquationsSpringer Journals

Published: Nov 7, 2013

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