The extremal ranks of subject to a pair of matrix equations
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...
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