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CLC number: TP183; O175

On-line Access: 2020-03-04

Received: 2019-04-07

Revision Accepted: 2019-05-13

Crosschecked: 2020-01-27

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Yang Cao

https://orcid.org/0000-0002-6940-0868

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Frontiers of Information Technology & Electronic Engineering  2020 Vol.21 No.2 P.324-339

http://doi.org/10.1631/FITEE.1900181


New results on impulsive type inertial bidirectional associative memory neural networks


Author(s):  Chaouki Aouiti, Mahjouba Ben Rezeg, Yang Cao

Affiliation(s):  Department of Mathematics, the University of Carthage, Zarzouna 7021, Bizerta, Tunisia; more

Corresponding email(s):   chaouki.aouiti@fsb.rnu.tn, mahjouba.benrezek@fsb.rnu.tn, caoyeacy@gmail.com

Key Words:  Inertial neural networks, Anti-periodic solutions, Global exponential stability, Impulsive effect, Time-varying delay, Bidirectional associative memory


Chaouki Aouiti, Mahjouba Ben Rezeg, Yang Cao. New results on impulsive type inertial bidirectional associative memory neural networks[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 324-339.

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journal="Frontiers of Information Technology & Electronic Engineering",
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number="2",
pages="324-339",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900181"
}

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%A Chaouki Aouiti
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T1 - New results on impulsive type inertial bidirectional associative memory neural networks
A1 - Chaouki Aouiti
A1 - Mahjouba Ben Rezeg
A1 - Yang Cao
J0 - Frontiers of Information Technology & Electronic Engineering
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DOI - 10.1631/FITEE.1900181


Abstract: 
This paper is concerned with inertial bidirectional associative memory neural networks with mixed delays and impulsive effects. New and practical conditions are given to study the existence, uniqueness, and global exponential stability of anti-periodic solutions for the suggested system. We use differential inequality techniques to prove our main results. Finally, we give an illustrative example to demonstrate the effectiveness of our new results.

脉冲型惯性双向联想记忆神经网络新解

Chaouki AOUITI1,Mahjouba Ben REZEG1,曹阳2,3
1迦太基大学数学系,突尼斯宾泽特,Zarzouna,7021
2东南大学网络空间安全学院,中国南京,211189
3香港大学机械工程系,中国香港

摘要:探究了具有混合时滞和脉冲效应的惯性双向联想记忆神经网络。该研究为类似系统的反周期解的存在性、唯一性和全局指数稳定性提供了新的实用条件。使用微分不等式技术证明我们的主要结果,并给出一个仿真算例证明新结果的有效性。

关键词:惯性神经网络;反周期解;全局指数稳定;脉冲;时变延迟;双向联想记忆

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Alimi AM, Aouiti C, Chérif F, et al., 2018. Dynamics and oscillations of generalized high-order Hopfield neural networks with mixed delays. Neurocomputing, 321:274-295.

[2]Aouiti C, 2018. Oscillation of impulsive neutral delay generalized high-order Hopfield neural networks. Neur Comput Appl, 29(9):477-495.

[3]Aouiti C, Assali EA, 2019. Stability analysis for a class of impulsive bidirectional associative memory (BAM) neural networks with distributed delays and leakage time-varying delays. Neur Process Lett, 50(1):851-885.

[4]Aouiti C, Dridi F, 2019a. New results on impulsive Cohen–Grossberg neural networks. Neur Process Lett, 49(3):1459-1483.

[5]Aouiti C, Dridi F, 2019b. Piecewise asymptotically almost automorphic solutions for impulsive non-autonomous high-order Hopfield neural networks with mixed delays. Neur Comput Appl, 31(9):5527-5545.

[6]Aouiti C, Miaadi F, 2018. Finite-time stabilization of neutral Hopfield neural networks with mixed delays. Neur Process Lett, 48(3):1645-1669.

[7]Aouiti C, Miaadi F, 2019. Pullback attractor for neutral Hopfield neural networks with time delay in the leakage term and mixed time delays. Neur Comput Appl, 31(8): 4113-4122.

[8]Aouiti C, Coirault P, Miaadi F, et al., 2017. Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays. Neurocomputing, 260:378-392.

[9]Aouiti C, Abed Assali E, Cao JD, et al., 2018. Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays. Int J Syst Sci, 49(10):2202-2214.

[10]Balasubramaniam P, Kalpana M, Rakkiyappan R, 2011. Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. Math Comput Model, 53(5-6):839-853.

[11]Batchelor M, Baxter R, O’Rourke M, et al., 1995. Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions. J Phys A, 28(10): 2759-2770.

[12]He X, Li CD, Shu Y, 2012. Bogdanov-Takens bifurcation in a single inertial neuron model with delay. Neurocomputing, 89:193-201.

[13]Ke YQ, Miao CF, 2011. Stability analysis of BAM neural networks with inertial term and time delay. WSEAS Trans Syst, 10(12):425-438.

[14]Ke YQ, Miao CF, 2013a. Stability analysis of inertial Cohen-Grossberg-type neural networks with time delays. Neurocomputing, 117:196-205.

[15]Ke YQ, Miao CF, 2013b. Stability and existence of periodic solutions in inertial BAM neural networks with time delay. Neur Comput Appl, 23(3-4):1089-1099.

[16]Ke YQ, Miao CF, 2013c. Exponential stability of periodic solutions in inertial neural networks with unbounded delay. Int J Math Comput Phys Electr Comput Eng, 7(3):477-486.

[17]Ke YQ, Miao CF, 2017. Anti-periodic solutions of inertial neural networks with time delays. Neur Process Lett, 45(2):523-538.

[18]Kosko B, 1988. Bidirectional associative memories. IEEE Trans Syst Man Cybern, 18(1):49-60.

[19]Li HF, Jiang HJ, Hu C, 2016. Existence and global exponential stability of periodic solution of memristor-based BAM neural networks with time-varying delays. Neur Netw, 75:97-109.

[20]Li XD, Song SJ, 2017. Stabilization of delay systems: delay-dependent impulsive control. IEEE Trans Autom Contr, 62(1):406-411.

[21]Li XD, Wu JH, 2016. Stability of nonlinear differential systems with state-dependent delayed impulses. Automatica, 64:63-69.

[22]Li XD, Ho DWC, Cao JD, 2019. Finite-time stability and settling-time estimation of nonlinear impulsive systems. Automatica, 99:361-368.

[23]Li YK, 2008. Positive periodic solutions of nonlinear differential systems with impulses. Nonl Anal Theory Meth Appl, 68(8):2389-2405.

[24]Li YK, Xiang JL, 2019. Existence and global exponential stability of anti-periodic solution for Clifford-valued inertial Cohen-Grossberg neural networks with delays. Neurocomputing, 332:259-269.

[25]Li YK, Yang L, Wu WQ, 2015. Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales. Neurocomputing, 149:536-545.

[26]Liao HY, Zhang ZQ, Ren L, et al., 2017. Global asymptotic stability of periodic solutions for inertial delayed BAM neural networks via novel computing method of degree and inequality techniques. Chaos Sol Fract, 104:785-797.

[27]Liu B, Teo KL, Liu XZ, 2008. Robust exponential stabilization for large-scale uncertain impulsive systems with coupling time-delays. Nonl Anal Theory Meth Appl, 68(5):1169-1183.

[28]Liu BW, 2007. Almost periodic solutions for Hopfield neural networks with continuously distributed delays. Math Comput Simul, 73(5):327-335.

[29]Long ZW, 2016. New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing, 171:503-509.

[30]M’Hamdi MS, Aouiti C, Touati A, et al., 2016. Weighted pseudo almost-periodic solutions of shunting inhibitory cellular neural networks with mixed delays. Acta Math Sci, 36(6):1662-1682.

[31]Okochi H, 1990. On the existence of anti-periodic solutions to a nonlinear evolution equation associated with odd subdifferential operators. J Funct Anal, 91(2):246-258.

[32]Qi JT, Li CD, Huang TW, 2015. Stability of inertial BAM neural network with time-varying delay via impulsive control. Neurocomputing, 161:162-167.

[33]Stamova I, Stamov T, Li XD, 2014. Global exponential stability of a class of impulsive cellular neural networks with supremums. Int J Adapt Contr Signal Process, 28(11):1227-1239.

[34]Tu ZW, Cao JD, Hayat T, 2016. Global exponential stability in Lagrange sense for inertial neural networks with time-varying delays. Neurocomputing, 171:524-531.

[35]Wheeler DW, Schieve WC, 1997. Stability and chaos in an inertial two-neuron system. Phys D, 105(4):267-284.

[36]Xu CJ, Li PL, 2016. Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms. J Nonl Sci Appl, 9(3):1285-1305.

[37]Xu CJ, Zhang QM, 2015. Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay. Neurocomputing, 153:108-116.

[38]Zhang ZQ, Quan ZY, 2015. Global exponential stability via inequality technique for inertial BAM neural networks with time delays. Neurocomputing, 151:1316-1326.

[39]Zhou JW, Li YK, 2009. Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects. Nonl Anal Theory Meth Appl, 71(7-8):2856-2865.

[40]Zhou QY, Shao JY, 2018. Weighted pseudo-anti-periodic SICNNs with mixed delays. Neur Comput Appl, 29(10): 865-872.

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