# 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} }

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

### Semi-scalar equivalence of polynomial matrices

- Mathematics, Computer Science
- 2020

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.

### A note on semiscalar equivalence of polynomial matrices

- MathematicsThe Electronic Journal of Linear Algebra
- 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…

### Feedback invariants of series connected systems

- Mathematics, Computer ScienceLinear Algebra and its Applications
- 2019

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