A different approach to fixed-time stability for a wide class of time-varying neural networks

被引：0
|
作者：
Radosław Matusik
机构：
[1] University of Lodz,Faculty of Mathematics and Computer Science
来源：
Lithuanian Mathematical Journal | 2021年 / 61卷
关键词：
fixed-time stability; finite-time stability; neural networks; differential equations; Lyapunov function; 34D20; 37C75; 93D05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present sufficient conditions for fixed-time stability for a wide class of neural networks described by a system of differential equations with right-hand side satisfying the Carathéodory conditions. In contrast to the results given in the literature, where the settling-time function is estimated by an unknown Lyapunov function, we estimate the settling-time by a known function. In addition, the settling-time function does not depend on the initial values. We also give numerical examples, which confirm the theoretical results.
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页码：491 / 501
页数：10
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