模糊双向联想记忆的稳定性与容错性  

Stability and Fault tolerance of the Fuzzy Bidirectional Associative Memory

作　　者：刘普寅[1] 王华兴[1] 

机构地区：[1]国防科技大学系统工程与数学系,长沙410073

出　　处：《控制与决策》1999年第5期443-447,共5页Control and Decision

基　　金：国防预研基金

摘　　要：证明了基于取大—取小模糊算子对的模糊双向联想记忆网络全局稳定性，并利用 Ｈａｍ ｍ ｉｎｇ 距离证明了该网络的平衡态是 Ｌｙａｐｕｎｏｖ 稳定的。通过在一定条件下获得的吸引子非退化的吸引域，揭示出网络具有较好的容错性。实例验证了该结论的正确性。Global stabilities of the fuzzy bidirection associative memories based on the fuzzy operators max min are proved. By Hamming distance, the Lyapunov stabilities of equilibriums of the networks are obtained. Also good fault tolerances of the networks are showed by the fact that nontrivial attractive basins of the attractors can be constructed with some conditions. The simulation example demonstrates the conclusions′ correctnees.

关 键 词：稳定性 吸引子 容错性 神经网络 模糊联想记忆 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]