Stability of linear differential equations with distributed delay

Stability of linear differential equations with distributed delay
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DOI：
10.1109/cdc.1997.652446
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发表时间：
1997-12
期刊：
Proceedings of the 36th IEEE Conference on Decision and Control
影响因子：
--
通讯作者：
A.P. Tchangani-;M. Dambrine;J. Richard
A.P. Tchangani-;M. Dambrine;J. Richard
中科院分区：
其他
文献类型：
--
作者：
A.P. Tchangani-;M. Dambrine;J. Richard

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研究了具有离散时滞和分布时滞的时滞型线性泛函微分方程的稳定性。用于解决这样的问题的主要工具是基于一个比较原则：通过一些常规的向量李雅普诺夫函数（RVLF）的初始系统的解决方案的行为进行比较，一些简单的FDE的解决方案的行为。
Deals with the stability analysis of linear functional differential equation (FDEs) of retarded type, with both discrete and distributed delay. The main tool used for solving such problem is based on a comparison principle: the behaviour of the solutions of the initial system is compared, through some regular vector Lyapunov functions (RVLF), to the behaviour of the solution of some simpler FDE.