Stability of neutral delay-differential systems: Boundary criteria
type: Item
instance of: scholarly article
title: Stability of neutral delay-differential systems: Boundary criteria
zbMATH Open document ID: 0913.34060
DOI: 10.1016/S0096-3003(96)00300-1
author: Guangda Hu
author: Guang-Di Hu
published in: Applied Mathematics and Computation
publication date: 1999-05-24T00:00:00Z
review text: For linear neutral delay differential equations of the form \[ \dot{x}(t)=Ax(t)+Bx(t-\tau)+C\dot{x}(t-\tau), \] where \(x:{\mathbb{R}}_+\to{\mathbb{R}}^n\) is an unknown function, \(A\), \(B\) and \(C\) are constant \(n\times n\)-matrices and \(\tau=\text{ const}>0\), a series of delay dependent asymptotical stability criteria are given. The criteria are based on the evaluation of a real-valued function on the boundary of a rectangle in the complex plane.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 1183174
zbMATH Keywords: linear neutral delay differential equations
zbMATH Keywords: asymptotic stability criteria
zbMATH Keywords: boundary criteria
reviewed by: R. R. Akhmerov
MaRDI profile type: Publication
cites work: Q4003237
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cites work: Some simple criteria for stability of neutral delay-differential systems
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description: scientific article; zbMATH DE number 1183174