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

Wein Shung Chen; Jason Sheng Hong Tsai

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

Wein Shung Chen
, Jason Sheng Hong Tsai

電機工程學系

研究成果: Article › 同行評審

摘要

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.

原文	English
頁（從 - 到）	81-87
頁數	7
期刊	Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an
卷	5
發行號	1
出版狀態	Published - 1998 2月 1

All Science Journal Classification (ASJC) codes

電氣與電子工程

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On the solution of Diophantine equation via generalized state-space realization and control. / Chen, Wein Shung; Tsai, Jason Sheng Hong.
於: Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an, 卷 5, 編號 1, 01.02.1998, p. 81-87.

研究成果: Article › 同行評審

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

摘要

All Science Journal Classification (ASJC) codes

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