Linear continuous time system responses

Anna Soffia Hauksdóttir*, Bergpor Evarsson, Gisli Herjólfsson, Sven P. Sigurdsson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Citations (Scopus)


General closed-form expressions of linear continuous-time system responses, are derived. The system eigenvalues can be real and/or complex, and may be repeated. A recursive computationally attractive method is formulated by which the partial fraction expansion coefficients can be computed fast and accurately. The closed-form expressions include the numerator coefficients of the transfer function, a matrix containing the partial fraction expansion coefficients and the system's eigenvalues, and a vector containing the independent time-basis functions. Higher-order responses can easily be computed in closed form from the impulse response.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Number of pages6
ISBN (Print)008045108X, 9780080451084
Publication statusPublished - 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
ISSN (Print)1474-6670

Other keywords

  • Closed-form expression
  • Higher-order response
  • Impulse response
  • Partial fraction expansion


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