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Asymptotic stability of neutral differential systems with many delays |
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| Authors: | Jiaoxun KuangHongjiong Tian Kaiting Shan |
| Affiliation: | a Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, PR China b Division of Computational Science, E-Institute of Shanghai Universities, Scientific Computing Key Laboratory of Shanghai Universities, 100 Guilin Road, Shanghai 200234, PR China |
| Abstract: | We are concerned with delay-independent asymptotic stability of linear system of neutral differential equations. We first establish a sufficient and necessary condition for the system to be delay-independently asymptotically stable, and then give some equivalent stability conditions. This paper improves many recent results on the asymptotic stability in the literature. One example is given to show that the sufficient and necessary condition is easy to verify. |
| Keywords: | Asymptotic stability Neutral differential equation Delay |
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