Robust passivity analysis for discrete-time recurrent neural networks with mixed delays

Chuan Kuei Huang, Yu Jeng Shu, Koan Yuh Chang, Ho Nien Shou, Chien Yu Lu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This article considers the robust passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with mixed time-delays and uncertain parameters. The mixed time-delays that consist of both the discrete time-varying and distributed time-delays in a given range are presented, and the uncertain parameters are norm-bounded. The activation functions are assumed to be globally Lipschitz continuous. Based on new bounding technique and appropriate type of Lyapunov functional, a sufficient condition is investigated to guarantee the existence of the desired robust passivity condition for the DRNNs, which can be derived in terms of a family of linear matrix inequality (LMI). Some free-weighting matrices are introduced to reduce the conservatism of the criterion by using the bounding technique. A numerical example is given to illustrate the effectiveness and applicability.

Original languageEnglish
Pages (from-to)216-232
Number of pages17
JournalInternational Journal of Electronics
Issue number2
Publication statusPublished - 2015 Feb 1

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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