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Neural Processing Letters

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26-02-2022

Quasi-Synchronization and Complete Synchronization of Fractional-Order Fuzzy BAM Neural Networks Via Nonlinear Control

Authors: Juanping Yang, Hong-Li Li, Jikai Yang, Long Zhang, Haijun Jiang

Published in: Neural Processing Letters | Issue 4/2022

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Abstract

This paper investigates quasi-synchronization (QS) and complete synchronization(CS) for fractional-order fuzzy bidirectional associative memory neural networks. To realize QS and CS, two kinds of novel nonlinear controllers are designed, which are more general and effective compared to the existing results. By using Lyapunov function method, fractional calculation and some inequality techniques, some sufficient synchronization criteria are derived for the considered networks. Moreover, the error level of QS is estimated. Finally, two illustrative examples are presented to show the effectiveness of our results.

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Kosko B (1987) Adaptive bidirectional associative memories. Appl Opt 26:4947–4960

Song Q, Zhao Z, Li Y (2005) Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Phys Let A 335:213–225MATH

Guo L, Wang H (2006) Minimum entropy filtering for multivariate stochastic systems with non-gaussian noise. IEEE Trans Autom Control 51:695–700MathSciNetMATH

Tu Z, Wang L, Zha Z, Jian J (2013) Global dissipativity of a class of BAM neural networks with time-varying and unbound delays. Commun Nonlinear Sci Numer Simul 18:2562–2570MathSciNetMATH

Xu G, Bao H (2020) Further results on mean-square exponential input-to-state stability of time-varying delayed BAM neural networks with Markovian switching. Neurocomputing 376:191–201

Cao J, Wang L (2001) Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Netw 13:457–463

Xu C, Tang X, Liao M (2010) Frequency domain analysis for bifurcation in a simplified tri-neuron BAM network model with two delays. Neural Netw 23:872–880MATH

Cao J, Wan Y (2014) Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays. Neural Netw 53:165–172MATH

Mathiyalagan K, Park J, Sakthivel R (2015) Synchronization for delayed memristive BAM neural networks using impulsive control with random nonlinearities. Appl Math Comput 259:967–979MathSciNetMATH

10.

Yan M, Jiang M (2020) Synchronization with general decay rate for memristor-based BAM neural networks with distributed delays and discontinuous activation functions. Neurocomputing 387:221–240

11.

Pecora L, Carroll T (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821–824MathSciNetMATH

12.

Liu X, Xia J, Huang X, Huang X, Shen H (2020) Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties. Physica A 540:123070MathSciNetMATH

13.

Li Y, Li C (2016) Matrix measure strategies for stabilization and synchronization of delayed BAM neural networks. Nonlinear Dyn 84:1759–1770MathSciNetMATH

14.

Yang X, Cao J, Lu J (2014) Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Anal RWA 12:2252–2266MathSciNetMATH

15.

Liao T, Huang N (1999) An observe-based approach for chaotic synchronization with applications to secure commmunication. IEEE Trans Autom Control 46:1144–1150MATH

16.

Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern 15:116–132MATH

17.

Yang T, Yang L (1996) The global stability of fuzzy cellular neural networks. IEEE Trans Circuits Syst I 43:880–883MathSciNet

18.

Li X, Huang T (2021) Adaptive synchronization for fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays. Fuzzy Sets Syst 411:174–189MathSciNetMATH

19.

Song Q, Cao J (2010) On pinning synchronization of directed and undirected complex dynamical networks. IEEE Trans Cricuits Syst I 57:672–680MathSciNetMATH

20.

Zhang L, Yang Y (2018) Different impulsive efffects on synchronization of frctional-order memristive BAM neural networks. Nonlinear Dyn 93:233–250

21.

Yang S, Li C, Huang T (2016) Exponential stabilization and synchronization for fuzzy model of memristive neural networks by periodically intermittent control. Neural Netw 75:162–172MATH

22.

Balasubramaniam P, Ratnavelu K, Manikandan M (2015) Synchronization of fuzzy bidirectional associative memory neural networks with various time delays. Appl Math Comput 270:582–605MathSciNetMATH

23.

Yuan M, Wang W, Yu M, Luo X, Liu L, Zhao W (2017) Synchronization of memristive BAM Neural Networks with leakage delay and additive time-varying delay components via sampled-Data Control. Chaos Solitons Fract 104:84–97MathSciNetMATH

24.

Wang D, Huang L, Tang L (2018) Dissipativity and synchronization of generalized BAM neural networks with multivariate discontinuous activations. IEEE Trans Neural Netw Learn Syst 29:3815–3827MathSciNet

25.

Ali M, Narayanan G, Saroha S, Priya B, Thakur G (2021) Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term. Math Comput Simulation 185:468–485MathSciNetMATH

26.

Li H, Zhong L, Hu C, Jiang Y, Teng Z (2017) Dynamic analysis of a fractional-order single-species model with diffusion. Nonlinear Anal Model Control 22:303–316MathSciNetMATH

27.

Bao H, Park J, Cao J (2019) Non-fragile state estimation for fractional-order delayed memristive BAM neural networks. Neural Netw 119:190–199MATH

28.

Chen S, Li H, Kao Y, Zhang L, Hu C (2021) Finite-time stabilization of fractional-order fuzzy quaternion-valued BAM neural networks via direct quaternion approach. J Franklin Inst 358:7650–7673MathSciNetMATH

29.

Ali M, Narayanan G, Orman Z, Shekher V, Arik S (2020) Finite time stability analysis of fractional-order complex-valued memristive neural networks with proportional delays. Neural Process Lett 51:407–426

30.

Arslan E, Narayanan G, Ali M, Arik S, Saroha S (2020) Controller design for finite-time and fixed-time stabilization of fractional-order memristive complex-valued BAM neural networks with uncertain parameters and time-varying delays. Neural Netw 130:60–74MATH

31.

Ali M, Narayanan G, Nahavandi S, Wang J, Cao J (2021) Global dissipativity analysis and stability analysis for fractional-order quaternion-valued neural networks with time delays. IEEE Trans Syst Man Cybern. https://doi.org/10.1109/TSMC.2021.3065114CrossRef

32.

Podlubny I (1999) Fractional differential equations. Academic Press, San DiegoMATH

33.

Kilbas A, Srivastava H, Trujillo J (2006) Theory and application of fractional differential equations. Elsevier, New YorkMATH

34.

Aguila-Camacho N, Duarte-Mermoud M, Gallegos J (2014) Lyapunov functions for fractional order systems. Commun Nonlinear Sci Numer Simul 19:2951–2957MathSciNetMATH

35.

Li H, Zhong L, Hu C, Jiang Y, Teng Z (2017) Dynamic analysis of a fractional-order predator-prey model incorporating a prey refuge. J Appl Math Comput 54:435–449MathSciNetMATH

36.

Xu Q, Zhuang S, Liu S, Xiao J (2016) Decentralized adaptive coupling synchronization of fractional-order complex-variable dynamical networks. Neurocomputing 186:119–126

37.

Pratap A, Raja R, Cao J (2019) Quasi-pinning synchronization and stabilization of fractional order BAM neural networks with delays and discontinuous neuron activations. Chaos Solitons Fract 131:20–45MathSciNet

38.

Xiao J, Zhong S, Li Y, Xu F (2017) Finite-time Mittag–Leffler synchronization of fractional-order memristive BAM neural networks with time delays. Neurocomputing 219:431–439

39.

Ye R, Liu X, Zhang H (2018) Global Mittag–Leffler synchronization for fractional-order BAM neural networks with impulses and multiple variable delays via delayed-feedback control strategy. Neural Process Lett 49:1–18

40.

Li H, Hu C, Cao J (2019) Quasi-projective and complete synchronization of fractional-order complex-valued neural networks with time delays. Neural Netw 118:102–109MATH

41.

Zhang J, Wu J, Bao H (2018) Synchronization analysis of fractional-order three-neuron BAM neural networks with multiple time delays. Appl Math Comput 339:441–450MathSciNetMATH

42.

Yu J, Hu C, Jiang H (2015) Corrigendum to projective synchronization for fractional neural networks. Neural Netw 67:152–154MATH

43.

Liu S, Yang R, Zhou X, Jiang W, Li X, Zhao X (2019) Stability analysis of fractional delayed equations and its applications on consensus of multi-agent systems. Commun Nonlinear Sci Numer Simul 73:351–362MathSciNetMATH

44.

Sakthivel R, Sakthivel R, Kwon O, Selvaraj P (2021) Observer-based synchronization of fractional-order Markovian jump multi-weighted complex dynamical networks subject to actuator faults. J Frankl Inst 358:4602–4625MathSciNetMATH

45.

Selvaraj P, Sakthivel R, Kwon O (2018) Synchronization of fractional-order complex dynamical network with random coupling delay, actuator faults and saturation. Nonlinear Dyn 94:3101–3116MATH

46.

Bhalekar S, Gejji V (2011) A predictor-corrector scheme for solving nonlinear delay differential equations of fractional order. J Fract Calc Appl 1:1–9MATH

Title: Quasi-Synchronization and Complete Synchronization of Fractional-Order Fuzzy BAM Neural Networks Via Nonlinear Control
Authors: Juanping Yang
Hong-Li Li
Jikai Yang
Long Zhang
Haijun Jiang
Publication date: 26-02-2022
Publisher: Springer US
Published in: Neural Processing Letters / Issue 4/2022
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-022-10769-x

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