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,...