# 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.

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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…

## References

SHOWING 1-10 OF 12 REFERENCES

### On controllability of partially prescribed matrices

- Mathematics
- 1995

Let A1 and A2 be matrices of sizes m×m and m×n, respectively. Suppose that some of the entries under the main diagonal of A1 are unknown and all the other entries of [A 1 A 2] are constant. We study…

### A Polynomial Approach to Linear Algebra

- Mathematics
- 1996

Preliminaries.- Linear Spaces.- Determinants.- Linear Transformations.- The Shift Operator.- Structure Theory of Linear Transformations.- Inner Product Spaces.- Quadratic Forms.- Stability.- Elements…

### A divisibility nonrelation for the smith invariants of a product of integral matrices

- Mathematics
- 1988

A divisibility formula exists for the Smith invariants of a product of integral matrices that is valid whenever the matrices are diagonal but is otherwise generally invalid

### The Theory of Matrices

- Mathematics
- 1984

Volume 2: XI. Complex symmetric, skew-symmetric, and orthogonal matrices: 1. Some formulas for complex orthogonal and unitary matrices 2. Polar decomposition of a complex matrix 3. The normal form of…

### The Theory of Matrices

- MathematicsThe Mathematical Gazette
- 1961

In the last two decades Soviet m athem aticians have produced a series of rem arkable books, whose common feature is the stress laid on thoroughness and intelligibility ra the r than on slickness of…

### 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