Markov parameter characterization of the strict positive real property

Nozomu Hamada; Brian Anderson

Markov parameter characterization of the strict positive real property

School of Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

Suppose that a rational function Z(s) is defined by a Laurent series, the coefficients of which are known. Several criteria are given in terms of the coefficients (the Markov parameters of Z(s)) to ensure the R_eZ(jw) > 0 for all real w. The criteria are of two types - involving a Rouch table with first two rows initialized using the coefficients and Rezout matrices with entries which are the integral expressions in the coefficients.

Original language	English
Number of pages	3
Publication status	Published - 1983
Event	6th European Conference on Circuit Theory and Design - University of Stuttgart, Stuttgart, Germany Duration: 6 Sept 1983 → 8 Sept 1983

Conference

Conference	6th European Conference on Circuit Theory and Design
Country/Territory	Germany
City	Stuttgart
Period	6/09/83 → 8/09/83

Cite this

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title = "Markov parameter characterization of the strict positive real property",

abstract = "Suppose that a rational function Z(s) is defined by a Laurent series, the coefficients of which are known. Several criteria are given in terms of the coefficients (the Markov parameters of Z(s)) to ensure the ReZ(jw) > 0 for all real w. The criteria are of two types - involving a Rouch table with first two rows initialized using the coefficients and Rezout matrices with entries which are the integral expressions in the coefficients.",

author = "Nozomu Hamada and Brian Anderson",

year = "1983",

language = "English",

note = "6th European Conference on Circuit Theory and Design ; Conference date: 06-09-1983 Through 08-09-1983",

}

TY - CONF

T1 - Markov parameter characterization of the strict positive real property

AU - Hamada, Nozomu

AU - Anderson, Brian

PY - 1983

Y1 - 1983

N2 - Suppose that a rational function Z(s) is defined by a Laurent series, the coefficients of which are known. Several criteria are given in terms of the coefficients (the Markov parameters of Z(s)) to ensure the ReZ(jw) > 0 for all real w. The criteria are of two types - involving a Rouch table with first two rows initialized using the coefficients and Rezout matrices with entries which are the integral expressions in the coefficients.

AB - Suppose that a rational function Z(s) is defined by a Laurent series, the coefficients of which are known. Several criteria are given in terms of the coefficients (the Markov parameters of Z(s)) to ensure the ReZ(jw) > 0 for all real w. The criteria are of two types - involving a Rouch table with first two rows initialized using the coefficients and Rezout matrices with entries which are the integral expressions in the coefficients.

M3 - Paper

T2 - 6th European Conference on Circuit Theory and Design

Y2 - 6 September 1983 through 8 September 1983

ER -

Markov parameter characterization of the strict positive real property

Abstract

Conference

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