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

15 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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AU - Wu, Min

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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.

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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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