Literature DB >> 28559957

Global asymptotic stability of complex-valued neural networks with additive time-varying delays.

K Subramanian1, P Muthukumar1.   

Abstract

In this paper, we extensively study the global asymptotic stability problem of complex-valued neural networks with leakage delay and additive time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional and applying newly developed complex valued integral inequalities, sufficient conditions for the global asymptotic stability of proposed neural networks are established in the form of complex-valued linear matrix inequalities. This linear matrix inequalities are efficiently solved by using standard available numerical packages. Finally, three numerical examples are given to demonstrate the effectiveness of the theoretical results.

Keywords:  Additive time-varying delays; Complex-valued neural networks; Global asymptotic stability; Leakage delay; Lyapunov–Krasovskii functional

Year:  2017        PMID: 28559957      PMCID: PMC5430246          DOI: 10.1007/s11571-017-9429-1

Source DB:  PubMed          Journal:  Cogn Neurodyn        ISSN: 1871-4080            Impact factor:   5.082


  12 in total

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Authors:  Maurizio Mattia; Maria V Sanchez-Vives
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5.  Global Exponential Stability for Complex-Valued Recurrent Neural Networks With Asynchronous Time Delays.

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Journal:  IEEE Trans Neural Netw Learn Syst       Date:  2015-04-10       Impact factor: 10.451

6.  Population rate coding in recurrent neuronal networks with unreliable synapses.

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7.  Synchronization of neuron population subject to steady DC electric field induced by magnetic stimulation.

Authors:  Kai Yu; Jiang Wang; Bin Deng; Xile Wei
Journal:  Cogn Neurodyn       Date:  2012-12-12       Impact factor: 5.082

8.  Global stability of complex-valued recurrent neural networks with time-delays.

Authors:  Jin Hu; Jun Wang
Journal:  IEEE Trans Neural Netw Learn Syst       Date:  2012-06       Impact factor: 10.451

9.  Synchronization of fractional-order complex-valued neural networks with time delay.

Authors:  Haibo Bao; Ju H Park; Jinde Cao
Journal:  Neural Netw       Date:  2016-05-18

10.  New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components.

Authors:  R Manivannan; R Samidurai; Jinde Cao; Ahmed Alsaedi
Journal:  Cogn Neurodyn       Date:  2016-07-19       Impact factor: 5.082

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