STABILITY AND ROBUSTNESS OF SLOWLY TIME-VARYING LINEAR SYSTEMS.

Jeff S. Shamma*, Michael Athans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A well-known result for finite-dimensional time-varying linear systems is that if each 'frozen time' is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution operator in the right-hand-side. The results are interpreted in the context of robustness of time-varying linear systems with special emphasis on analysis of gain-scheduled control systems.

Original languageEnglish (US)
Pages (from-to)434-439
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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