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A stability criterion for HNFDE with non-uniform delays |
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| Authors: | Xingwen Liu Shouming Zhong Fengli Zhang |
| Affiliation: | aLab 570, Institute of Electronic Systems, College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China bCollege of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China cCollege of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China |
| Abstract: | Stability of functional differential equations (FDE) is an increasingly important problem in both science and engineering. Delays, whether uniform or non-uniform, play an important role in the dynamics of a system. Since non-uniform delay is more general and less focused than uniform delay, this paper concentrates on the stability of high-order neutral functional differential equations (HNFDE) with non-uniform delay, and proposes a sufficient condition for it. This result may be widely helpful, thanks to the frequent emergence of a HNFDE with non-uniform delay in various fields. Its effectiveness is illustrated by some examples. |
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