On \(\alpha\)-stability criteria of nonlinear systems with multiple time delays
type: Item
instance of: scholarly article
title: On \(\alpha\)-stability criteria of nonlinear systems with multiple time delays
zbMATH Open document ID: 0910.34062
DOI: 10.1016/S0016-0032(97)00001-X
author: Yeong-Jeu Sun
author: Jer-Guang Hsieh
published in: Journal of the Franklin Institute
publication date: 1999-01-18T00:00:00Z
review text: The authors study nonlinear functional-differential systems with constant delays of the type \[ \dot x(t)=A_0(t)x(t)+\sum_{k=1}^m g_k(., x(t-\tau_k) \] where \(\tau_k\) are the delays, \(A_0(t)\) is a variable matrix, and \(g_k\) are the nonlinearities with bounded Jacobians. Stability conditions are derived. They are based on the Lozinskii logarithm norm (a matrix measure).
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1164119
zbMATH Keywords: nonlinear functional-differential equations with delay
zbMATH Keywords: stability
reviewed by: Michael I. Gil'
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1164119