The upper bound of the second-order modes of linear state-space systems

Shunsuke Koshita; Masahide Abe; Masayuki Kawamata

doi:10.1109/ISCAS.2005.1464751

The upper bound of the second-order modes of linear state-space systems

Shunsuke Koshita, Masahide Abe, Masayuki Kawamata

ENG - Electronic Engineering

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

This paper describes the upper bound of the secondorder modes of linear state-space systems. With the help of the bounded-real Riccati equations and bilinear transformation, it is proved that the second-order modes of continuous-time or discrete-time systems are all bounded by the system gain. As an application of this theory, a new formula for evaluating minimum attainable value of coefficient sensitivity of digital filters is presented. This new formula shows the excellent performance of digital filters with minimum coefficient sensitivity structure.

Original language	English
Article number	1464751
Pages (from-to)	968-971
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
DOIs	https://doi.org/10.1109/ISCAS.2005.1464751
Publication status	Published - 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 2005 May 23 → 2005 May 26

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1464751

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abstract = "This paper describes the upper bound of the secondorder modes of linear state-space systems. With the help of the bounded-real Riccati equations and bilinear transformation, it is proved that the second-order modes of continuous-time or discrete-time systems are all bounded by the system gain. As an application of this theory, a new formula for evaluating minimum attainable value of coefficient sensitivity of digital filters is presented. This new formula shows the excellent performance of digital filters with minimum coefficient sensitivity structure.",

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AU - Koshita, Shunsuke

AU - Abe, Masahide

AU - Kawamata, Masayuki

PY - 2005

Y1 - 2005

N2 - This paper describes the upper bound of the secondorder modes of linear state-space systems. With the help of the bounded-real Riccati equations and bilinear transformation, it is proved that the second-order modes of continuous-time or discrete-time systems are all bounded by the system gain. As an application of this theory, a new formula for evaluating minimum attainable value of coefficient sensitivity of digital filters is presented. This new formula shows the excellent performance of digital filters with minimum coefficient sensitivity structure.

AB - This paper describes the upper bound of the secondorder modes of linear state-space systems. With the help of the bounded-real Riccati equations and bilinear transformation, it is proved that the second-order modes of continuous-time or discrete-time systems are all bounded by the system gain. As an application of this theory, a new formula for evaluating minimum attainable value of coefficient sensitivity of digital filters is presented. This new formula shows the excellent performance of digital filters with minimum coefficient sensitivity structure.

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M3 - Conference article

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JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

SN - 0271-4310

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T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

The upper bound of the second-order modes of linear state-space systems

Abstract

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