Robust (Strictly) Positive Interval Rational Functions

Y. Q. Shi

doi:10.1109/31.76493

Robust (Strictly) Positive Interval Rational Functions

Y. Q. Shi

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In a recent paper by Bose and Dalansky [ll Dasguata's result [10] has been extended to study the robustness of positive complex (PC) rational and strictly positive complex (SPC) rational properties for a complex interval rational function. It is concluded that the PC (SPC) property of the specific 64 extreme members of the set can imply the PC (SPC) property of the set. In this paper, it is proven that the PC (SPC) property of a complex interval rational function can be guaranteed by the PC (SPC) property of its certain 32 extreme members, which are a subset of those 64 extreme members defined in [11].

Original language	English (US)
Pages (from-to)	552-554
Number of pages	3
Journal	IEEE Transactions on Circuits and Systems
Volume	38
Issue number	5
DOIs	https://doi.org/10.1109/31.76493
State	Published - May 1991

All Science Journal Classification (ASJC) codes

General Engineering

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10.1109/31.76493

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AB - In a recent paper by Bose and Dalansky [ll Dasguata's result [10] has been extended to study the robustness of positive complex (PC) rational and strictly positive complex (SPC) rational properties for a complex interval rational function. It is concluded that the PC (SPC) property of the specific 64 extreme members of the set can imply the PC (SPC) property of the set. In this paper, it is proven that the PC (SPC) property of a complex interval rational function can be guaranteed by the PC (SPC) property of its certain 32 extreme members, which are a subset of those 64 extreme members defined in [11].

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Robust (Strictly) Positive Interval Rational Functions

Abstract

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