A note on the solution of regular PMDs

Tan, L.; Pugh, Ashley Clive

A note on the solution of regular PMDs

preprint

posted on 2006-02-13, 18:36 authored by L. Tan, Ashley Clive Pugh

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.

History

School

Science

Department

Mathematical Sciences

Pages

188819 bytes

Publication date

1999

Notes

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.