On the relationships between induced l∞-gain and various notions of dissipativity

Randy A Freeman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Several approaches to the dissipativity characterization of l∞-gain performance measures are compared and contrasted. Points of comparison include whether the given characterization is both necessary and sufficient or merely sufficient for l∞-gain, whether there is a simple relationship between the gain parameter (or gain function) and the supply rate or performance output, and whether the characterization employs auxiliary nonlinear filters. There is also a discussion of the roles of different types of bias in classical l p-gain performance criteria.

Original languageEnglish (US)
Pages (from-to)3430-3434
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 2004

ASJC Scopus subject areas

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

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