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Type: Artigo de periódico
Title: The Lyapunov Matrix Equation Sa+a*s=s*b*bs
Author: Carlson D.H.
Datta B.N.
Abstract: The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but allowing nonhermitian S. An inequality is given relating the dimensions of the eigenspaces of A and of the null space of S. In particular, if B has rank 1 and S is nonsingular, then S is hermitian, and the inertias of A and S are equal. Other inertial results are obtained, the role of the controllability of (A*, B*S*) is studied, and a class of D-stable matrices is determined. © 1979.
Rights: fechado
Identifier DOI: 10.1016/0024-3795(79)90117-4
Date Issue: 1979
Appears in Collections:Unicamp - Artigos e Outros Documentos

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