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A Constructive Method for Solving the Complete Controllability Problem for Linear Systems

A Constructive Method for Solving the Complete Controllability Problem for Linear Systems Differential Equations, Vol. 40, No. 2, 2004, pp. 175–183. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 2, 2004, pp. 169–176. Original Russian Text Copyright c 2004 by Metel'skii, Minyuk. ORDINARY DIFFERENTIAL EQUATIONS A Constructive Method for Solving the Complete Controllability Problem for Linear Systems A. V. Metel'skii and S. A. Minyuk Belarus National Technical University, Minsk, Belarus Grodno State University, Grodno, Belarus Received November 20, 2002 INTRODUCTION The theory of duality between controllability and observability problems for ordinary nonau- tonomous systems was developed by N.N. Krasovskii [1], who, in particular, obtained the controlla- bility conditions and suggested a method for the computation of damping controls. A comprehensive treatment of these issues including fundamentally new results can be found in [2]. The damping problem for a delay system was considered for the rst time in [3, 4], and the total controllability problem was solved for a second-order system in [5, 6]. A criterion for the total controllability of a linear autonomous delay system of arbitrary order was proved in [7]. Solvability conditions were obtained in [8] for the controllability problem with constrained control. The pa- pers [9{14] and others deal with various aspects of dual observation and control problems for http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

A Constructive Method for Solving the Complete Controllability Problem for Linear Systems

Metel'skii, A.; Minyuk, S.
Differential Equations , Volume 40 (2) – Oct 18, 2004
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Publisher
Springer Journals
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1023/B:DIEQ.0000033706.48641.aa
Publisher site
See Article on Publisher Site

Abstract

Differential Equations, Vol. 40, No. 2, 2004, pp. 175–183. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 2, 2004, pp. 169–176. Original Russian Text Copyright c 2004 by Metel'skii, Minyuk. ORDINARY DIFFERENTIAL EQUATIONS A Constructive Method for Solving the Complete Controllability Problem for Linear Systems A. V. Metel'skii and S. A. Minyuk Belarus National Technical University, Minsk, Belarus Grodno State University, Grodno, Belarus Received November 20, 2002 INTRODUCTION The theory of duality between controllability and observability problems for ordinary nonau- tonomous systems was developed by N.N. Krasovskii [1], who, in particular, obtained the controlla- bility conditions and suggested a method for the computation of damping controls. A comprehensive treatment of these issues including fundamentally new results can be found in [2]. The damping problem for a delay system was considered for the rst time in [3, 4], and the total controllability problem was solved for a second-order system in [5, 6]. A criterion for the total controllability of a linear autonomous delay system of arbitrary order was proved in [7]. Solvability conditions were obtained in [8] for the controllability problem with constrained control. The pa- pers [9{14] and others deal with various aspects of dual observation and control problems for

Journal

Differential Equations – Springer Journals

Published: Oct 18, 2004

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