A new approach to the analysis of linear continuous-time systems
Tadeusz Kaczorek · 2023
New approaches to the transformations of the uncontrollable and unobservable pairs of matrices of linear systems to their canonical forms are proposed. It is shown that the uncontrollable pair (A, B) and unobservable pair (A,C) of linear systems can be transformed to their controllable $(\bar A,\bar B)$ and observable (Â,Ĉ) canonical forms by suitable choice of nonsingular matrix M satisfying the condition $\left[ \begin{array}{ll} A&B \end{array} \right]M = \left[ \begin{array}{ll} {\bar A}&{\bar B} \end{array} \right]$.