延迟区间BAM神经动力学模型及鲁棒稳定性分析

应用科学学报 ›› 1999, Vol. 17 ›› Issue (3): 282-288.

延迟区间BAM神经动力学模型及鲁棒稳定性分析

廖晓峰¹, 刘光远¹, 吴中福², 虞厥邦¹

1. 电子科技大学;
2. 重庆大学

收稿日期:1997-05-17 修回日期:1998-10-18 出版日期:1999-09-30 发布日期:1999-09-30
基金资助:
清华大学计算机系智能技术与系统国家重点实验室开放研究课题基金资助项目

Neural Dynamics of Interval Bidirectional Associative Memory with Delays and Robust Interval Stability Analysis

LIAO XIAOFENG¹, LIU GUANGYUAN¹, WU ZHONGFU², YU JUEBANG¹

1. Department of Optoelectronic technology, University of Electronic Science and Technology of China, Chengdu 610054;
2. Chongqing University, Chongqing 400044

Received:1997-05-17 Revised:1998-10-18 Online:1999-09-30 Published:1999-09-30

摘要/Abstract

摘要： 给出了带轴突信号传输延迟的区间BAM神经动力学模型(DIBAM),它是其他BAM模型的推广.应用区间动力学系统的稳定性理论,并且构造适当的Lyapunov函数,研究了DIBAM的鲁棒稳定性,得到了一个充分条件.用几个具体例子进行了计算机模拟,结果表明所得的鲁棒稳定性条件的正确性.

关键词: BAM模型, 区间动力学系统, 鲁棒稳定性, 轴突信号传输延迟

Abstract: In this paper neural models of interval bidirectional associative memory with axonal signal transmission delays are given. By using stability theory of the interval dynamical systems and constructing suitable Lyapunov functionals, robust stability of those DIBAM are investigated and sufficient conditions are obtained respectively. Computer simulations are made by use of some examples. It demonstrates correctness for obtained conditions of robust stability.

Key words: bidirectional associative meory models, axonal signal transmission delays, interval dynamical systems, robust stability

廖晓峰, 刘光远, 吴中福, 虞厥邦. 延迟区间BAM神经动力学模型及鲁棒稳定性分析[J]. 应用科学学报, 1999, 17(3): 282-288.

LIAO XIAOFENG, LIU GUANGYUAN, WU ZHONGFU, YU JUEBANG. Neural Dynamics of Interval Bidirectional Associative Memory with Delays and Robust Interval Stability Analysis[J]. Journal of Applied Sciences, 1999, 17(3): 282-288.