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Exponential stability of nonlinear differential delay equations
Authors:X. Mao
Affiliation:Department of Statistics and Modelling Science, University of Strathclyde, Glasgow G1 1XH, Scotland, UK
Abstract:
The aim of this paper is to investigate the exponential stability of a nonlinear differential delay equation ) Introduce the corresponding differential equation (without delay) ) and assume it is exponentially stable. It will be shown in this paper that the differential delay equation will remain exponentially stable provided the time lag τ is small enough.
Keywords:Exponential stability   Nonlinear differential delay equations   Gronwall's inequality
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