Passivity analysis of Markov jump neural networks with mixed time-delays and piecewise-constant transition rates

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• 作者：Zheng-Guang Wu^a ; ^b ; ^{nashwzhg@gmail.com} ; Ju H. Park^a ; ^{jessie@ynu.ac.kr} ; ^{jessie@yu.ac.kr} ; Hongye Su^b ; Jian Chu^b
• 关键词：Neural networks ; Markov jump systems ; Time delays ; Piecewise-constant transition rates ; Passivity
• 刊名：Nonlinear Analysis ; Real World Applications
• 出版年：2012
• 期刊代码：44_14681218
• 类别：mt
• 出版时间：October, 2012
• 卷：13
• 期：5
• 页码：2423-2431
• 文件大小：225 K

摘要

In this paper, passivity analysis is considered for Markov jump neural networks with both mixed time-delays and time-varying transition rates. The mixed time-delays consist of both discrete and distributed delays. The time-varying character of transition rates is assumed to be piecewise-constant. By use of the linear matrix inequality (LMI) method and a Lyapunov functional that accounts for the mixed time-delays, a delay-dependent passivity condition is derived, which can be easily checked. The result presented depends upon not only discrete delay but also distributed delay. A numerical example is proposed to show the effectiveness of the proposed method.