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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 2.2

On the stability of random matrices

Giuseppe Calafiore*, Fabrizio Dabbene**

*Dip. di Automatica e Informatica

**IEIIT-CNR Politecnico di Torino

C.so Duca degli Abruzzi, 24 Torino,

Italy

{giuseppe.calafiore, fabrizio.dabbene}@polito.it

1 INTRODUCTION AND MOTIVATION

16780

The objective of this note is to encourage research on random matrices in the control community. The one who adventures in this field will encounter unexpected and exciting connections among different fields of science and beautiful branches of mathematics.

In the next section, we resume some of the known results on random matrices, and state a simple new (to the best ...

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