A connection between state-space and doubly coprime fractional representations Academic Article

abstract

• Explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transfer function. These formulas allow existing computational algorithms to be utilized for the purpose of computing doubly coprime factorizations. Several additional implications of this result are briefly discussed, as are some immediate extensions and future research directions.

authors

• Balas, Mark

published proceedings

• IEEE Transactions on Automatic Control

altmetric score

• 1

author list (cited authors)

• Nett, C., Jacobson, C., & Balas, M.

citation count

• 336

complete list of authors

• Nett, C||Jacobson, C||Balas, M

publication date

• September 1984

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Automatic Control  Journal

keywords

• Control Systems
• Eigenvalues And Eigenfunctions
• Feedback
• Jacobian Matrices
• Nasa
• State-space Methods
• Symmetric Matrices
• Systems Engineering And Theory
• Terminology
• Transfer Function Matrices
• Transfer Functions

Digital Object Identifier (DOI)

• 10.1109/tac.1984.1103674

start page

• 831

end page

• 832

volume

• 29

issue

• 9

URL

• http://dx.doi.org/10.1109/tac.1984.1103674