Some new results for system decoupling and pole assignment problems

In a related article, we derived a canonical decomposition of the right invertible system { C , A , B } and applied this canonical decomposition to study the Smith form of the matrix pencil P ( s ) = ( A − s I B C 0 ) and findout the finite zeros and infinite zeros of P ( s ) , the range of the ranks of P ( s ) for s ∈ C , and the controllability of the right invertible system. In this paper, we will apply this canonical decomposition of the right invertible system { C , A , B } to deduce the triangular decouple upon to row permutation, provide some new results of the row-by-row decoupling, and associated pole assignment problems.