Uniform stability of large-scale delay discrete impulsive systems

Bin Liu; David J. Hill

doi:10.1080/00207170802050809

Uniform stability of large-scale delay discrete impulsive systems

Bin Liu, David J. Hill

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

22 Citations (Scopus)

Abstract

This article investigates the problem of uniform stability for the large-scale delay DIS (discrete impulsive systems). By establishing the comparison principle for the general delay DIS, uniform stability criteria are derived for three kinds (linear, affine and non-linear) of large-scale delay DIS. The obtained criteria shows that the stability properties of non-linear large-scale delay DIS can be derived by comparing to a linear and lower dimension delay DIS, with known stability properties. Some examples are given to illustrate results obtained by us.

Original language	English
Pages (from-to)	228-240
Number of pages	13
Journal	International Journal of Control
Volume	82
Issue number	2
DOIs	https://doi.org/10.1080/00207170802050809
Publication status	Published - Feb 2009
Externally published	Yes

Keywords

Attractive region
Comparison principle
Delay
Discrete impulsive system (DIS)
Uniform stability

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10.1080/00207170802050809

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abstract = "This article investigates the problem of uniform stability for the large-scale delay DIS (discrete impulsive systems). By establishing the comparison principle for the general delay DIS, uniform stability criteria are derived for three kinds (linear, affine and non-linear) of large-scale delay DIS. The obtained criteria shows that the stability properties of non-linear large-scale delay DIS can be derived by comparing to a linear and lower dimension delay DIS, with known stability properties. Some examples are given to illustrate results obtained by us.",

keywords = "Attractive region, Comparison principle, Delay, Discrete impulsive system (DIS), Uniform stability",

author = "Bin Liu and Hill, {David J.}",

note = "Funding Information: The authors would like to thank the Associate Editor, Dr. Francoise Lamnabhi-Lagarrigue, and the anonymous referees for their helpful comments and suggestions. Research supported by the Australian Research Council (No. FF0455875 and No. DP0881391).",

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AU - Hill, David J.

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AB - This article investigates the problem of uniform stability for the large-scale delay DIS (discrete impulsive systems). By establishing the comparison principle for the general delay DIS, uniform stability criteria are derived for three kinds (linear, affine and non-linear) of large-scale delay DIS. The obtained criteria shows that the stability properties of non-linear large-scale delay DIS can be derived by comparing to a linear and lower dimension delay DIS, with known stability properties. Some examples are given to illustrate results obtained by us.

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KW - Comparison principle

KW - Delay

KW - Discrete impulsive system (DIS)

KW - Uniform stability

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ER -

Uniform stability of large-scale delay discrete impulsive systems

Abstract

Keywords

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