A new resolvent decomposition of a regular polynomial matrix is derived which
is a refinement of the results given by Gohberg et al (1982) and Vardulakis
(1991). Based on this, a complete solution of the regular Polynomial Matrix
Descriptions (PMDs) is presented that reflects precisely the zero input
response and the zero state response, and takes into account the impulsive
properties of the system. An algorithm for the computation of this resolvent
decomposition is provided.
This is a pre-print. The definitive version: TAN, L. and PUGH, A.C., 1999. A note on the solution of regular PMDs. International Journal of Control, 72(14), pp.1235-1248, is available at: http://www.journalsonline.tandf.co.uk/openurl.asp?genre=journal&eissn=1366-5820.