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|Type:||Artigo de periódico|
|Title:||The Lyapunov Matrix Equation Sa+a*s=s*b*bs|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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