State feedback controllers based finite-time and fixed-time stabilisation of high order BAM with reaction-diffusion term

被引：25
作者：
Aouiti, Chaouki [1 ]
Jallouli, Hediene [1 ]
机构：
[1] Fac Sci Bizerta, Dept Math, Res Units Math & Applicat UR13ES47, BP W, Zarzouna 7021, Bizerta, Tunisia
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2021年 / 52卷 / 05期
关键词：
Reaction– diffusion neural networks; finite-time stabilisation; fixed-time stabilisation; Lyapunov function;
D O I：
10.1080/00207721.2020.1849861
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we are interested in the finite time and fixed-time stabilisation of high order bidirectional associative memory neural networks (HOBAMNNs) with time delays and reaction-diffusion terms. Via the theory of topological degree, a set of sufficient conditions are obtained to guarantee the existence of the equilibrium point of HOBAMNNs. The finite time and fixed time stabilisation are introduced based on Lyapunov functional, new designing state feedback controllers and inequality techniques. At the end, some numerical simulations are carried out to support the theoretical results.
引用
收藏
页码：905 / 927
页数：23
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