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Exponential estimates for neutral time delay systems with multiple delays

✍ Scribed by Vladimir Kharitonov; Joaquín Collado; Sabine Mondié

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
146 KB
Volume
16
Category
Article
ISSN
1049-8923

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✦ Synopsis

Abstract

Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non‐homogeneous difference equations evolving in continuous time combined with the Lyapunov–Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed. Copyright © 2005 John Wiley & Sons, Ltd.

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✍ Yeong-Jeu Sun; Jer-Guang Hsieh; Yih-Chang Hsieh 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 193 KB

In this paper, an easy-to-check exponential stability criterion for a class of uncertain retarded systems with multiple time-varying delays is proposed. An estimate of the convergence rate is also derived. Furthermore, a numerical example is given to illustrate our main results.