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Duality in controllability and observability problems for nonstationary hybrid impulsive differential-difference systems

Duality in controllability and observability problems for nonstationary hybrid impulsive... We consider linear nonstationary hybrid differential-difference dynamical observable systems under the action of impulses, which generates jumps in the corresponding solutions of the systems. For such systems, we construct dual controllability problems and prove a general duality relation, which permits one to state a general duality principle in controllability and observability problems for hybrid differential-difference systems. The results are illustrated by an example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Duality in controllability and observability problems for nonstationary hybrid impulsive differential-difference systems

Differential Equations , Volume 46 (12) – Jan 28, 2011

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 2010 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/S0012266110120098
Publisher site
See Article on Publisher Site

Abstract

We consider linear nonstationary hybrid differential-difference dynamical observable systems under the action of impulses, which generates jumps in the corresponding solutions of the systems. For such systems, we construct dual controllability problems and prove a general duality relation, which permits one to state a general duality principle in controllability and observability problems for hybrid differential-difference systems. The results are illustrated by an example.

Journal

Differential EquationsSpringer Journals

Published: Jan 28, 2011

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