Advanced search
Publication Cover
International Journal of Control Volume 34, 1981 - Issue 5
Submit an article Journal homepage
39
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Matrix fractions and strict system equivalence

M. C. SMITH Control and Management Systems Division, Cambridge University Engineering Department, Mill Lane, Cambridge, England
Pages 869-883 | Received 18 May 1981, Published online: 12 Mar 2007

Citations (12)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

I. S. Kafetzis & N. P. Karampetakis. (2021) On conditions guaranteeing two rational matrices possess identical pole/zero structure. International Journal of Control 94:3, pages 663-674.
Read now
G. E. HAYTON, A. C. PUGH & P. FRETWELL. (1988) Infinite elementary divisors of a matrix polynomial and implications. International Journal of Control 47:1, pages 53-64.
Read now
A. C. PUGH, G. E. HAYTON & P. FRETWELL. (1987) Transformations of matrix pencils and implications in linear systems theory. International Journal of Control 45:2, pages 529-548.
Read now
M. C. SMITH. (1981) On the generalized Nyquist stability criterion. International Journal of Control 34:5, pages 885-920.
Read now

Articles from other publishers (8)

S Vologiannidis, E N Antoniou, N P Karampetakis & A I G Vardulakis. (2021) Polynomial matrix equivalences: system transformations and structural invariants. IMA Journal of Mathematical Control and Information 38:1, pages 54-73.
Crossref
Aikaterini S. Karetsou & Nicholas P. Karampetakis. (2014) Linearization of bivariate polynomial matrices expressed in non monomial basis. Multidimensional Systems and Signal Processing 26:2, pages 503-517.
Crossref
Paul A. Fuhrmann & Uwe HelmkePaul A. Fuhrmann & Uwe Helmke. 2015. The Mathematics of Networks of Linear Systems. The Mathematics of Networks of Linear Systems 141 206 .
Paul A. Fuhrmann & Uwe Helmke. (2013) Reachability, observability and strict equivalence of networks of linear systems. Mathematics of Control, Signals, and Systems 25:4, pages 437-471.
Crossref
A. I. G. Vardulakis, N. Karampetakis, E. Antoniou & S. Vologiannidis. (2013) Notions of equivalence for linear multivariable systems. Notions of equivalence for linear multivariable systems.
A.C. Pugh, D.S. Johnson & G.E. Hayton. (1992) On conditions guaranteeing two polynomial matrices possess identical zero structures. IEEE Transactions on Automatic Control 37:9, pages 1383-1386.
Crossref
A. C. Pugh & G. E. Hayton. 1990. Realization and Modelling in System Theory. Realization and Modelling in System Theory 107 116 .
G. Hayton, A. Pugh & P. Fretwell. (1985) Finite and infinite frequency preserving transformations in linear systems theory. Finite and infinite frequency preserving transformations in linear systems theory.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.