On the solution of Diophantine equation via generalized state-space realization and control

Wein Shung Chen, Jason Sheng Hong Tsai

Research output: Contribution to journalArticle

Abstract

In this paper, explicit formulae in solving the polynomial Diophantine equation (PDE) for given right matrix fraction descriptions (RMFDs) are developed. Based on a special coordinate realization and the infinite pole assignment strategies of generalized state-space systems, the class of all polynomial solutions to the PDE can be easily revealed. Besides, the coprime left matrix fraction description (LMFD) with respect to the given coprime RMFD can be simultaneously obtained in terms of the proposed approach.

Original languageEnglish
Pages (from-to)81-87
Number of pages7
JournalJournal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an
Volume5
Issue number1
Publication statusPublished - 1998 Feb 1

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'On the solution of Diophantine equation via generalized state-space realization and control'. Together they form a unique fingerprint.

  • Cite this