A SURJECTIVITY PROBLEM FOR MATRICES AND NULL CONTROLLABILITY FOR DIFFERENCE AND DIFFERENTIAL MATRIX EQUATIONS

Let P be a complex polynomial. We prove that the associated polynomial matrix-valued function \tildeP is surjective if for each λ ∈ ℂ the polynomial P-λ has at least a simple zero. The null controllability for difference and differential matrix equations is also presented.

Bibliographic Details
Main Authors: Donal O'Regan, Constantin Buşe
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2020-05-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v15/p15_16.pdf