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Matrix pencils completion problems
Last modified: 2014-02-07
Abstract
I will present recent advances on the general matrix pencils completion problem. This problem consists of describing the possible Kronecker invariants of a matrix pencil whose arbitrary subpencil is prescribed. Apart from general fundamental interest, this problem and its particular cases are of high importance in applications in control theory.
In particular, I will present novel combinatorial techniques that we introduced, and that were crucial for resolving important particular cases of the general problem.