A CANONICAL DECOMPOSITION OF THE RIGHT INVERTIBLE SYSTEM WITH APPLICATIONS

In the literature, several canonical decompositions of a system {C,A,B} have been derived for different applications. In this paper the authors propose a canonical decomposition of a right invertible system {C,A,B}. From this decomposition, they study the Smith form of the matrix pencil P(s) to find out the finite zeros and infinite zeros of P(s), the range of the ranks of P(s) for s ... C, and the controllability and the invariant quantities of the right invertible system. In a separate paper, they apply this canonical decomposition of the right invertible system {C,A,B} to study the decoupling and pole assignment problems.(ProQuest: ... denotes formulae/symbols omitted.)