Eigenvalues of matrices with prescribed entries

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Controllability of pairs of matrices with prescribed entries

Let F be an infinite field and let (A1, A2) = [ a1,1 a1,2 a2,1 a2,2 ] , [ a1,3 a2,3 ] , where the entries ai,j ∈ F , i ∈ {1, 2}, j ∈ {1, 2, 3}. In this paper we establish necessary and sufficient conditions under which it is possible to prescribe some entries of  A1 A2  , so that the pair (A1, A2) is completely controllable. © 2011 Elsevier Ltd. All rights reserved.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1972

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1972-0352125-x