Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 52, No. 2, pp. 175-192 (1995)

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Controllability Indices of Partially Prescribed Pairs of Matrices

Isabel Cabral and Fernando C. Silva

Departamento de Matemática, Universidade Nova de Lisboa,
Faculdade de Ciências e Tecnologia, Quinta da Torre, 2825 Monte da Caparica - PORTUGAL Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa,
Rua Ernesto de Vasconcelos, C1, 1700 Lisboa - PORTUGAL

Abstract: We give necessary and sufficient conditions for the existence of a completely controllable pair $(A_{1},A_{2})$ with prescribed controllability indices and with a prescribed submatrix of $[A_{1} A_{2}]$ that does not contain principal entries of $A_{1}$.

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