SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS - DERIVATION AND STABILITY ANALYSIS

被引：141

作者：

BOUZERDOUM, A ^{[1
]}

PINTER, RB ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT ELECT ENGN,SEATTLE,WA 98195

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1993年 / 40卷 / 03期

关键词：

D O I：

10.1109/81.222804

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, a class of biologically inspired cellular neural networks is introduced. These networks possess lateral interactions of the shunting inhibitory type only; hence, they are called shunting inhibitory cellular neural networks (SICNN's). Their derivation and biophysical interpretation are presented in this article, along with a stability analysis of their dynamics. In particular, it is shown that the SICNN's are bounded input bounded output stable dynamical systems. Furthermore, a global Liapunov function is derived for symmetric SICNN's. Using LaSalle invariance principle, it is shown that each trajectory converges to a set of equilibrium points; this set consists of a unique equilibrium point if all inputs have the same polarity.

引用

页码：215 / 221

页数：7