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 language | English (US) |
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Pages | 898-901 |
Number of pages | 4 |
State | Published - 1989 |
Event | Proceedings of the 32nd Midwest Symposium on Circuits and Systems Part 2 (of 2) - Champaign, IL, USA Duration: Aug 14 1989 → Aug 16 1989 |
Other
Other | Proceedings of the 32nd Midwest Symposium on Circuits and Systems Part 2 (of 2) |
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City | Champaign, IL, USA |
Period | 8/14/89 → 8/16/89 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering