Rational approximants to the matrix exponential

Rational approximants to the matrix exponential

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Electronics Letters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The letter develops a method for obtaining a square matrix eNAt such that every element of eNAt is a proper rational function of t and is an efficient approximant to the corresponding element of the matrix exponential exp (At). Some useful general properties of eNAt are deduced and various procedures for computing eNAt are discussed.

Inspec keywords: matrix algebra

Subjects: Algebra; Algebra


    1. 1)
      • L.A. Zadeh , C.A. Desoer . (1963) , Linear system theory.
    2. 2)
      • R. Bellman . (1960) , Introduction to matrix analysis.
    3. 3)
      • M.L. Liou . A novel method of evaluating transient response. Proc. Inst. Elect. Electron. Engrs. , 20 - 23
    4. 4)
      • M.L. Liou . Evaluation of the transition matrix. Proc. Inst. Elect. Electron. Engrs. , 228 - 229
    5. 5)
      • C. Lanczos . (1957) , Applied analysis.
    6. 6)
      • V. Zakian . Numerical Inversion of Laplace transform. Electron. Lett. , 120 - 121
    7. 7)
      • V. Zakian . Optimisation of numerical inversion of Laplace transforms. Electron. Lett. , 677 - 679
    8. 8)
      • V. Zakian . Rational approximation to the transfer-function matrix of distributed system. Electron. Lett. , 474 - 476
    9. 9)
      • C.E. Fröberg . (1979) , Introduction to numerical analysis.
    10. 10)
      • Zakian, V.: `Rational approximants to the matrix exponential', 113, Control Systems Centre report, October 1970.

Related content

This article has following corresponding article(s):
Comment on ‘Rational approximants to the matrix exponential’ [and reply]
This is a required field
Please enter a valid email address