带有离散分布式延迟神经网络的不等时滞分割稳定性分析方法

Abstract

Abstract: This paper deal with the problems of stability analysis for neural networks with with discrete and distributed delays. It addresses the newly unequal delay-partitioning methods which is different from previous methods. By unequally separating the delay interval into multiple diminishing subintervals, a novel Lyapunov-Krasovskii functionals is established including triple integrals terms. And together with some effective mathematical techniques and newly unequal delay-partitioning methods, the new stability criterion has been proposed to reduce the conservatism. Some numerical simulations are given to demonstrate the effectiveness of the proposed techniques comparing with some existing results.

Key words: Neural networks, Unequal delay-partitioning, Discrete and distributed delays, LMI approach

CLC Number:

Yin Chun, Zhou Shiwei, Wu Shanshan, Cheng Yuhua, Wei Xiuling, Wang Wei. New Unequal Delay Partitioning Methods to Stability Analysis for Neural Networks with Discrete and Distributed Delays[J].Acta mathematica scientia,Series A, 2017, 37(2): 374-389.

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New Unequal Delay Partitioning Methods to Stability Analysis for Neural Networks with Discrete and Distributed Delays

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