Stability analysis of piecewise linear systems with discrete and distributed time delays

Yurong Liu; Zidong Wang; Gang Feng; Xiaohui Liu

Stability analysis of piecewise linear systems with discrete and distributed time delays

Yurong Liu, Zidong Wang, Gang Feng, Xiaohui Liu

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

This paper is concerned with the stability analysis problem for a class of piece-wise linear systems with both discrete and distributed time delays. A piecewise Lyapunov-Krasovskii functional is constructed so as to derive sufficient conditions for the globally asymptotic stability of the piecewise linear systems with discrete and distributed time-delays. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be readily checked by using the standard Matlab LMI Toolbox. A numerical example is used to demonstrate the usefulness of the methods. Copyright ©2006 Watam Press.

Original language	English
Pages (from-to)	729-742
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	13
Issue number	6
Publication status	Published - Dec 2006

Research Keywords

Discrete and distributed delay
Linear matrix inequality (LMI)
Piecewise linear systems
Stability

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title = "Stability analysis of piecewise linear systems with discrete and distributed time delays",

abstract = "This paper is concerned with the stability analysis problem for a class of piece-wise linear systems with both discrete and distributed time delays. A piecewise Lyapunov-Krasovskii functional is constructed so as to derive sufficient conditions for the globally asymptotic stability of the piecewise linear systems with discrete and distributed time-delays. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be readily checked by using the standard Matlab LMI Toolbox. A numerical example is used to demonstrate the usefulness of the methods. Copyright {\textcopyright}2006 Watam Press.",

keywords = "Discrete and distributed delay, Linear matrix inequality (LMI), Piecewise linear systems, Stability",

author = "Yurong Liu and Zidong Wang and Gang Feng and Xiaohui Liu",

year = "2006",

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language = "English",

volume = "13",

pages = "729--742",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms",

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Stability analysis of piecewise linear systems with discrete and distributed time delays. / Liu, Yurong; Wang, Zidong; Feng, Gang et al.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 13, No. 6, 12.2006, p. 729-742.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - Stability analysis of piecewise linear systems with discrete and distributed time delays

AU - Liu, Yurong

AU - Wang, Zidong

AU - Feng, Gang

AU - Liu, Xiaohui

PY - 2006/12

Y1 - 2006/12

N2 - This paper is concerned with the stability analysis problem for a class of piece-wise linear systems with both discrete and distributed time delays. A piecewise Lyapunov-Krasovskii functional is constructed so as to derive sufficient conditions for the globally asymptotic stability of the piecewise linear systems with discrete and distributed time-delays. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be readily checked by using the standard Matlab LMI Toolbox. A numerical example is used to demonstrate the usefulness of the methods. Copyright ©2006 Watam Press.

AB - This paper is concerned with the stability analysis problem for a class of piece-wise linear systems with both discrete and distributed time delays. A piecewise Lyapunov-Krasovskii functional is constructed so as to derive sufficient conditions for the globally asymptotic stability of the piecewise linear systems with discrete and distributed time-delays. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be readily checked by using the standard Matlab LMI Toolbox. A numerical example is used to demonstrate the usefulness of the methods. Copyright ©2006 Watam Press.

KW - Discrete and distributed delay

KW - Linear matrix inequality (LMI)

KW - Piecewise linear systems

KW - Stability

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M3 - RGC 21 - Publication in refereed journal

SN - 1492-8760

VL - 13

SP - 729

EP - 742

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 6

ER -

Stability analysis of piecewise linear systems with discrete and distributed time delays

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