The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag

By Hongjiong Tian. 2002

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Abstract This paper is concerned with the exponential stability of singularly perturbed delay differential equations with a bounded (state-independent) lag. A generalized Halanay inequality is derived in Section 2, and in Section 3 a sufficient condition will be provided to ensure that any solution of the singularly perturbed delay differential equations (DDEs) with a bounded lag is exponentially stable uniformly for sufficiently small e>0. This type of exponential asymptotic stability can obviously be applied to general delay differential equations with a bounded lag.

Subfields: Computational Theory and Mathematics, Numerical Analysis

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