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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 10/2018

18.04.2017 | Original Article

Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations

verfasst von: Lian Duan, Xianwen Fang, Xuejun Yi, Yujie Fu

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 10/2018

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Abstract

This paper is concerned with the finite-time synchronization problem for a class of delayed competitive neural networks with discontinuous activations. Using the theory of differential inclusions, nonsmooth analysis, inequality techniques and a generalized finite-time convergence theorem, new criteria are established to ensure the finite-time stability of the considered error system, and thus the finite-time synchronization between the drive system and the response system are realized. Finally, two examples with numerical simulations are presented to illustrate the effectiveness of the proposed synchronization criteria.
Vorheriger Artikel An effective fruit fly optimization algorithm with hybrid information exchange and its applications
Nächster Artikel Locality similarity and dissimilarity preserving support vector machine

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Literatur
1.
Hopfield JJ, Tank DW (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Nat Acad Sci 79:3088–3092CrossRefMATH
2.
Forti M, Nistri P (2003) Global convergence of neural networks with discontinuous neuron activations. IEEE Trans Circuits Syst I(50):1421–1435MathSciNetCrossRefMATH
3.
Hunt KJ, Sbarbaro D, Żbikowski R, Gawthrop PJ (1992) Neural networks for control systems—a survey. Automatica 28:1083–1112MathSciNetCrossRefMATH
4.
Yang X, Yang Z, Nie X (2014) Exponential synchronization of discontinuous chaotic systems via delayed impulsive control and its application to secure communication. Commun Nonlinear Sci Numer Simul 19:1529–1543MathSciNetCrossRef
5.
Lu W, Chen T (2006) Dynamical behaviors of delayed neural network systems with discontinuous activation functions. Neural Comput 18:683–708MathSciNetCrossRefMATH
6.
Forti M, Nistri P, Papini D (2005) Global exponential stability and global convergence infinite time of delayed neural networks with infinite gain. IEEE Trans Neural Netw 16:1449–1463CrossRef
7.
Forti M, Grazzini M, Nistri P, Pancioni L (2006) Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Phys D 214:88–99MathSciNetCrossRefMATH
8.
Papini D, Taddei V (2005) Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations. Phys Lett A 343:117–128CrossRefMATH
9.
Liu X, Cao J (2010) Robust state estimation for neural networks with discontinuous activations. IEEE Trans Syst Man Cybern 40:1425–1437CrossRef
10.
Duan L, Huang L, Guo Z (2014) Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations. Nonlinear Dyn 77:1469–1484MathSciNetCrossRefMATH
11.
Liu J, Liu X, Xie W (2012) Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations. Inform Sci 183:92–105MathSciNetCrossRefMATH
12.
Duan L, Huang L, Guo Z (2016) Global robust dissipativity of interval recurrent neural networks with time-varying delay and discontinuous activations. Chaos 26:073101MathSciNetCrossRefMATH
13.
Meyer-Bäse A, Ohl F, Scheich H (1996) Singular perturbation analysis of competitive neural networks with different time scales. Neural Comput 8:1731–1742CrossRef
14.
Meyer-Bäse A, Botella G, Rybarska-Rusinek L (2013) Stochastic stability analysis of competitive neural networks with different time-scales. Neurocomputing 118:115–118CrossRef
15.
Nie X, Cao J (2009) Multistability of competitive neural networks with time-varying and distributed delays. Nonlinear Anal Real World Appl 10:928–942MathSciNetCrossRefMATH
16.
Engel PM, Molz RF (1998) A new proposal for implementation of competitive neural networks in analog hardware. In: Proceedings of the 5th Brazilian Symposium on Neural Networks, pp 186–191
17.
Lou X, Cui B (2007) Synchronization of competitive neural networks with different time scales. Phys A 380:563–576CrossRef
18.
Gu H (2009) Adaptive synchronization for competitive neural networks with different time scales and stochastic perturbation. Neurocomputing 73:350–356CrossRef
19.
Gan Q, Hu R, Liang Y (2012) Adaptive synchronization for stochastic competitive neural networks with mixed time-varying delays. Commun Nonlinear Sci Numer Simul 17:3708–3718MathSciNetCrossRefMATH
20.
Li Y, Yang X, Shi L (2016) Finite-time synchronization for competitive neural networks with mixed delays and non-identical perturbations. Neurocomputing 185:242–253CrossRef
21.
Cortés J (2008) Discontinuous dynamical systems: a tutorial on solutions, nonsmooth analysis, and stability. IEEE Control Syst Mag. 28:36–73MathSciNet
22.
Filippov A (1988) Differential equations with discontinuous righthand sides. Kluwer Academic Publishers, DordrechtCrossRef
23.
Hardy GH, Littlewood JE, Polya G (1988) Inequalities. Cambridge University Press, LondonMATH
24.
Kisielewicz M (1991) Differential inclusions and optimal control, mathematics and its applications. Kluwer Academic Publishers, DordrechtMATH
25.
Yang X (2014) Can neural networks with arbitrary delays be finite-timely synchronized? Neurocomputing 143:275–281CrossRef
26.
Wang H, Zhu Q (2015) Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica 54:284–291MathSciNetCrossRefMATH
27.
Shi L, Yang X, Li Y, Feng Z (2016) Finite-time synchronization of nonidentical chaotic systems with multiple time-varying delays and bounded perturbations. Nonlinear Dyn 83:75–87MathSciNetCrossRefMATH
28.
Liu X, Chen T, Cao J, Lu W (2011) Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches. Neural Netw 24:1013–1021CrossRefMATH
29.
Liu X, Cao J (2011) Local synchronization of one-to-one coupled neural networks with discontinuous activations. Cogn Neurodyn 5:13–20CrossRef
30.
Shen J, Cao J (2011) Finite-time synchronization of coupled neural networks via discontinuous controllers. Cogn Neurodyn 5:373–385CrossRef
31.
Zhu Q, Cao J (2011) Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays. Commun Nonlinear Sci Numer Simul 16:2139–2159MathSciNetCrossRefMATH
32.
Yang X, Lu J (2016) Finite-time synchronization of coupled networks with markovian topology and impulsive effects. IEEE Trans Autom Control 61:2256–2261MathSciNetCrossRefMATH
33.
Zhang H, Wang J, Wang Z, Liang H (2015) Mode-dependent stochastic dynchronization for markovian coupled neural networks with time-varying mode-delays. IEEE Trans Neural Netw Learn Syst 26:2631–2634
34.
Pan Y, Yu H, Er MJ (2014) Adaptive neural PD control with semiglobal asymptotic stabilization guarantee. IEEE Trans Neural Netw Learn Syst 25:2264–2274CrossRef
35.
Pan Y, Liu Y, Xu B, Yu H (2016) Hybrid feedback feedforward: an efficient design of adaptive neural network control. Neural Netw 76:122–134CrossRef
Metadaten
Titel
Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations
verfasst von
Lian Duan
Xianwen Fang
Xuejun Yi
Yujie Fu
Publikationsdatum
18.04.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 10/2018
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-017-0670-z

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