Literature DB >> 25863289

Further analysis of global μ-stability of complex-valued neural networks with unbounded time-varying delays.

G Velmurugan1, R Rakkiyappan1, Jinde Cao2.   

Abstract

In this paper, we consider the problem of global μ-stability for complex-valued neural networks (CVNNs) with unbounded time-varying delays and it has been widely investigated. Under mild conditions, some new sufficient conditions for global μ-stability of considered CVNNs are derived. Moreover, some new sufficient conditions are obtained to ensure the global μ-stability of CVNNs in the form of complex-valued LMIs as well as real-valued LMIs by using an appropriate Lyapunov-Krasovskii functional and linear matrix inequalities (LMIs). Both of complex-valued LMIs as well as real-valued LMIs are easily solved by using standard numerical algorithms. Finally, two numerical examples are presented to demonstrate the effectiveness and usefulness of our theoretical results.
Copyright © 2015 Elsevier Ltd. All rights reserved.

Keywords:  Complex-valued Neural Networks (CVNNs); Global -stability; Linear Matrix Inequality (LMI); Unbounded time-varying delays

Mesh:

Year:  2015        PMID: 25863289     DOI: 10.1016/j.neunet.2015.03.007

Source DB:  PubMed          Journal:  Neural Netw        ISSN: 0893-6080


  1 in total

1.  Synchronization in Fractional-Order Complex-Valued Delayed Neural Networks.

Authors:  Weiwei Zhang; Jinde Cao; Dingyuan Chen; Fuad E Alsaadi
Journal:  Entropy (Basel)       Date:  2018-01-12       Impact factor: 2.524

  1 in total

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