BRAIN STATE IN A CONVEX BODY

被引：13

作者：

BOHNER, M ^{[1
]}

HUI, S ^{[1
]}

机构：

[1] SAN DIEGO STATE UNIV,DEPT MATH SCI,SAN DIEGO,CA 92182

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 1995年 / 6卷 / 05期

关键词：

D O I：

10.1109/72.410350

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We study a generalization of the brain-state-in-a-box (BSB) model for a class of nonlinear discrete dynamical systems where we allow the states of-the system to lie in an arbitrary convex body, The states of the classical BSB model are restricted to he in a hypercube, Characterizations of equilibrium points of the system are given using the support function of a convex body, Also; Sufficient conditions for a point to be a stable equilibrium point are investigated, Finally we study the system in polytopes. The results in this special case are more precise and have simpler forms than the corresponding results for general convex bodies, The general results give one approach of allowing pixels in image reconstruction to assume more than two values.

引用

页码：1053 / 1060

页数：8

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