Literature DB >> 27462482

Global [Formula: see text] stabilization of fractional-order memristive neural networks with time delays.

Ling Liu1, Ailong Wu1, Xingguo Song2.   

Abstract

This article is concerned with the global [Formula: see text] stabilization for a class of fractional-order memristive neural networks with time delays (FMDNNs). Two kinds of control scheme (i.e., state feedback control law and output feedback control law) are employed to stabilize a class of FMDNNs. Several stabilization conditions in form of algebraic criteria are presented based on a new fractional-order Lyapunov function method and Leibniz rule. Some examples are given to substantiate the effectiveness of the presented theoretical results.

Entities:  

Keywords:  Fractional-order systems; Global [Formula: see text] stabilization; Memristive neural networks

Year:  2016        PMID: 27462482      PMCID: PMC4938841          DOI: 10.1186/s40064-016-2374-3

Source DB:  PubMed          Journal:  Springerplus        ISSN: 2193-1801


  12 in total

1.  Stability and synchronization of memristor-based fractional-order delayed neural networks.

Authors:  Liping Chen; Ranchao Wu; Jinde Cao; Jia-Bao Liu
Journal:  Neural Netw       Date:  2015-07-31

2.  Finite-time stabilization control for discontinuous time-delayed networks: New switching design.

Authors:  Ling-Ling Zhang; Li-Hong Huang; Zuo-Wei Cai
Journal:  Neural Netw       Date:  2015-12-17

3.  Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks.

Authors:  Jiejie Chen; Zhigang Zeng; Ping Jiang
Journal:  Neural Netw       Date:  2013-12-01

4.  Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays.

Authors:  Zhenyuan Guo; Jun Wang; Zheng Yan
Journal:  Neural Netw       Date:  2013-09-04

5.  The missing memristor found.

Authors:  Dmitri B Strukov; Gregory S Snider; Duncan R Stewart; R Stanley Williams
Journal:  Nature       Date:  2008-05-01       Impact factor: 49.962

6.  Electronics: the fourth element.

Authors:  James M Tour; Tao He
Journal:  Nature       Date:  2008-05-01       Impact factor: 49.962

7.  Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays.

Authors:  Ailong Wu; Zhigang Zeng
Journal:  Neural Netw       Date:  2012-09-05

8.  Stability analysis of fractional-order Hopfield neural networks with time delays.

Authors:  Hu Wang; Yongguang Yu; Guoguang Wen
Journal:  Neural Netw       Date:  2014-04-13

9.  Boundedness, Mittag-Leffler stability and asymptotical ω-periodicity of fractional-order fuzzy neural networks.

Authors:  Ailong Wu; Zhigang Zeng
Journal:  Neural Netw       Date:  2015-11-11

10.  Stability analysis of memristor-based fractional-order neural networks with different memductance functions.

Authors:  R Rakkiyappan; G Velmurugan; Jinde Cao
Journal:  Cogn Neurodyn       Date:  2014-10-09       Impact factor: 5.082

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