A class of transfer functions with non-negative impulse response

S. Jayasuriya, Matthew Franchek

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


Presented in this note is a class of stable, minimum phase transfer functions whose impulse response is non-negative. A simple sufficiency criterion based on the relative locations of the poles and zeros characterizes the class. When the transfer function is in a factored form the sign of itsimpulse response may either be obtained by inspection or is inconclusive. A need for identify such transfer functions was recently established by Jayasuriya (1989) who showed that a controlled designed on the basis of maximizing a step input disturbance will reject a persistent disturbance bounded by the size of the maximized step if and only if the closed-loop system's impulse response is of one sign.

Original languageEnglish (US)
Pages (from-to)313-315
Number of pages3
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number2
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications


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