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Stability and H∞ performance of multiple-delay systems with successive delay components

✍ Scribed by Ge Guo

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
145 KB
Volume
24
Category
Article
ISSN
0890-6327

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✦ Synopsis

Abstract

This paper presents a new model for linear time‐delay systems with multiple delayed states where each delay contains finite number of successive components with different time‐varying properties, referred to as multiple‐delay system with successive time‐varying delay components (MDSSTDCs). General stability result and H~∞~ performance conditions, under which the MDSSTDCs are asymptotically stable with certain H~∞~ disturbance attenuation level, are derived by exploiting a general Lyapunov–Krasovskii functional and by making use of novel techniques for time‐delay systems. The result is applied to two special types of time‐delay systems frequently used in engineering applications and corresponding conditions for stability and H~∞~ performance are obtained. Copyright © 2010 John Wiley & Sons, Ltd.

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