An Improved Stability Criterion for Digital Filters with Generalized Overflow Arithmetic and Time-Varying Delay

Chuan Ke Zhang; Ke You Xie; Yong He; Qing Guo Wang; Min Wu

doi:10.1109/TCSII.2019.2950165

An Improved Stability Criterion for Digital Filters with Generalized Overflow Arithmetic and Time-Varying Delay

Chuan Ke Zhang
, Ke You Xie
, Yong He
, Qing Guo Wang
, Min Wu

Electrical and Electronic Engineering Science

China University of Geosciences, Wuhan

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

16 Citations (Scopus)

Abstract

This brief concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.

Original language	English
Article number	8887223
Pages (from-to)	2099-2103
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	67
Issue number	10
DOIs	https://doi.org/10.1109/TCSII.2019.2950165
Publication status	Published - Oct 2020

Keywords

Fixed-point state-space digital filter
asymptotic stability
generalized overflow arithmetic
time-varying delay

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2019.2950165

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abstract = "This brief concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.",

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AU - Xie, Ke You

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AU - Wang, Qing Guo

AU - Wu, Min

PY - 2020/10

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N2 - This brief concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.

AB - This brief concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.

KW - Fixed-point state-space digital filter

KW - asymptotic stability

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KW - time-varying delay

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ER -

An Improved Stability Criterion for Digital Filters with Generalized Overflow Arithmetic and Time-Varying Delay

Abstract

Keywords

ASJC Scopus subject areas

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