On Absolute Stability of Nonlinear Systems with Small Delays

Nonlinear nonautonomous retarded systems with separated autonomous linear parts and continuous nonlinear ones are considered. It is assumed that deviations of the argument are sufficiently small. Absolute stability conditions are derived. They are formulated in terms of eigenvalues of auxiliary matr...

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Bibliographic Details
Published inMathematical Problems in Engineering Vol. 1998; no. 5; pp. 423 - 435
Main Authors Gil, M. I., Ailon, A., Ahn, B. H.
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.1998
Subjects
Nonlinear differential-difference systems
Absolute stability
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Summary:Nonlinear nonautonomous retarded systems with separated autonomous linear parts and continuous nonlinear ones are considered. It is assumed that deviations of the argument are sufficiently small. Absolute stability conditions are derived. They are formulated in terms of eigenvalues of auxiliary matrices.
ISSN:1024-123X
1563-5147
DOI:10.1155/S1024123X98000908