Robust multivariate interval strictly positive functions

Document Type

Conference Proceeding

Publication Date

12-1-1989

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.

Identifier

0024895562 (Scopus)

Publication Title

Midwest Symposium on Circuits and Systems

First Page

898

Last Page

901

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