# Controllability of series connections

@article{Dodig2007ControllabilityOS,
title={Controllability of series connections},
author={Marija Dodig},
journal={Electronic Journal of Linear Algebra},
year={2007},
volume={16},
pages={12}
}
• Marija Dodig
• Published 2007
• Mathematics
• Electronic Journal of Linear Algebra
In this paper the controllability of series connections of arbitrary many linear systems is studied. As the main result, necessary and sufficient conditions are given, under which the system obtained as a result of series connections of arbitrary many linear systems is controllable.
4 Citations
• Mathematics, Computer Science
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The aim of the present paper is to present the necessary and sufficient conditions of semi-scalar equivalence of nonsingular matrices and monic polynomial matrices over a field of characteristic zero in terms of solutions of a homogenous system of linear equations.
• V. Prokip
• Mathematics
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• 2022
Polynomial matrices $A(\lambda)$ and $B(\lambda)$ of size $n\times n$ over a field $\mathbb {F}$ are semiscalar equivalent if there exist a nonsingular $n\times n$ matrix $P$ over $\mathbb F$ and an

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### Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society

• Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society
• 2007