Poles and zeros for time-varying systems

Richard T. O'Brien, Pablo A. Iglesias

Research output: Contribution to journalConference articlepeer-review

Abstract

Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system's impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure.

Original languageEnglish (US)
Pages (from-to)2672-2676
Number of pages5
JournalProceedings of the American Control Conference
Volume5
StatePublished - Jan 1 1997
EventProceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA
Duration: Jun 4 1997Jun 6 1997

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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