Comparison principle and stability of discrete-time impulsive hybrid systems

Bin Liu; David J. Hill

doi:10.1109/TCSI.2008.924897

Comparison principle and stability of discrete-time impulsive hybrid systems

Bin Liu^*, David J. Hill

^*Corresponding author for this work

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

37 Citations (Scopus)

Abstract

This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for linear interval discrete-time impulsive hybrid systems, a class of nonlinear uncertain discrete-time impulsive hybrid systems, and affine discrete-time impulsive hybrid systems with time delay. Some examples are given to illustrate the results.

Original language	English
Pages (from-to)	233-245
Number of pages	13
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	56
Issue number	1
DOIs	https://doi.org/10.1109/TCSI.2008.924897
Publication status	Published - 2009

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10.1109/TCSI.2008.924897

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AB - This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for linear interval discrete-time impulsive hybrid systems, a class of nonlinear uncertain discrete-time impulsive hybrid systems, and affine discrete-time impulsive hybrid systems with time delay. Some examples are given to illustrate the results.

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KW - Nickel

KW - Robustness

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KW - Stability criteria

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Comparison principle and stability of discrete-time impulsive hybrid systems

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