Robust multivariate interval strictly positive functions

Y. Q. Shi, K. Zhou

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations

Abstract

Strictly positive (SP) (strictly positive real (SPR)) rational functions form foundations in network realizability theory. Study of boundary implications for the SP (SPR) property of interval rational functions is therefore meaningful. It is proved that the SP (SPR) property of a set of complex (real) N-variable interval rational functions can be implied by the SP (SPR) of its specific 16(2n) (16(2n-1)) extreme members. It is also proved that the positive rational (PR) property of a set of complex univariate interval rational functions can be guaranteed by the PR of its certain 32 extreme members.

Original languageEnglish (US)
Pages898-901
Number of pages4
StatePublished - 1989
EventProceedings of the 32nd Midwest Symposium on Circuits and Systems Part 2 (of 2) - Champaign, IL, USA
Duration: Aug 14 1989Aug 16 1989

Other

OtherProceedings of the 32nd Midwest Symposium on Circuits and Systems Part 2 (of 2)
CityChampaign, IL, USA
Period8/14/898/16/89

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'Robust multivariate interval strictly positive functions'. Together they form a unique fingerprint.

Cite this