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Stability and H ∞ performance of multiple‐delay systems with successive delay components
Author(s) -
Guo Ge
Publication year - 2010
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1157
Subject(s) - control theory (sociology) , stability (learning theory) , attenuation , mathematics , stability theory , group delay and phase delay , computer science , control (management) , nonlinear system , telecommunications , physics , bandwidth (computing) , quantum mechanics , machine learning , artificial intelligence , optics
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.