Stability criteria of linear neutral systems with a single delay

This article studies the asymptotic stability of linear neutral delay-differential systems. Using the characteristic equation of the system, new simple delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. Numerical examples are given to demonstrate th...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 148; no. 1; pp. 135 - 143
Main Authors:	Cao, D.Q., He, Ping
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 20-01-2004 Elsevier
Subjects:	Algebraic stability criteria Delay independent Exact sciences and technology Mathematical analysis Mathematics Neutral systems Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Algebraic stability criteria Neutral systems Delay independent Asymptotic stability Numerical analysis Linear system Applied mathematics Differential system Spectral radius Linear stability Delay system Asymptotic approximation Numerical stability Equation system
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Summary:	This article studies the asymptotic stability of linear neutral delay-differential systems. Using the characteristic equation of the system, new simple delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. Numerical examples are given to demonstrate the validity of our main criteria.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/S0096-3003(02)00833-0