Eigenvalue and stability of singular differential delay systems☆

https://doi.org/10.1016/j.jmaa.2004.05.008Get rights and content
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Abstract

The eigenvalue and the stability of singular differential systems with delay are considered. Firstly we investigate some properties of the eigenvalue, then give the exact exponential estimation for the fundamental solution, and finally discuss the necessary and sufficient condition of uniform asymptotic stability.

Keywords

Singular differential systems with delay
Eigenvalue
Exponential exact estimation
Stability

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☆

This research had been supported by the National Nature Science Foundation of China (No. 10241005).

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