Displaying similar documents to “Computing generalized inverse systems using matrix pencil methods”

Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems

Tadeusz Kaczorek (2010)

International Journal of Applied Mathematics and Computer Science

Similarity:

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,...