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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 3/2015

01.06.2015 | Research Article

Pinning synchronization of coupled inertial delayed neural networks

verfasst von: Jianqiang Hu, Jinde Cao, Abdulaziz Alofi, Abdullah AL-Mazrooei, Ahmed Elaiw

Erschienen in: Cognitive Neurodynamics | Ausgabe 3/2015

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Abstract

The paper is devoted to the investigation of synchronization for an array of linearly and diffusively coupled inertial delayed neural networks (DNNs). By placing feedback control on a small fraction of network nodes, the entire coupled DNNs can be synchronized to a common objective trajectory asymptotically. Two different analysis methods, including matrix measure strategy and Lyapunov–Krasovskii function approach, are employed to provide sufficient criteria for the synchronization control problem. Comparisons of these two techniques are given at the end of the paper. Finally, an illustrative example is provided to show the effectiveness of the obtained theoretical results.
Vorheriger Artikel Deterministic convergence of chaos injection-based gradient method for training feedforward neural networks
Nächster Artikel EEG oscillations reflect task effects for the change detection in vocal emotion

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Literatur
Arik S (2000) Stability analysis of delayed neural networks. IEEE Trans Circuits Syst I Fundam Theory Appl 47(7):1089–1092CrossRef
Babcock KL, Westervelt RM (1987) Dynamics of simple electronic neural networks. Phys D 28(3):305–316CrossRef
Bolzern P, Colaneri P, De Nicolao G (2006) On almost sure stability of continuous-time markov jump linear systems. Automatica 42(6):983–988CrossRef
Cao J (2004) An estimation of the domain of attraction and convergence rate for Hopfield continuous feedback neural networks. Phys Lett A 325(5):370–374CrossRef
Cao J, Lu J (2006) Adaptive synchronization of neural networks with or without time-varying delay. Chaos 16(1):013133CrossRefPubMed
Cao J, Li P, Wang W (2006) Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys Lett A 353(4):318–325CrossRef
Cao J, Chen G, Li P (2008) Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Tran Syst Man Cybern Part B 38(2):488–498CrossRef
Cao J, Wan Y (2014) Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays. Neural Netw 53:165–172CrossRefPubMed
Chen G, Zhou J, Liu Z (2004) Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Int J Bifurc Chaos 14(07):2229–2240CrossRef
Chen M (2006) Some simple synchronization criteria for complex dynamical networks. IEEE Trans Circuits Syst II Exp Br 53(11):1185–1189CrossRef
Chen T, Liu X, Lu W (2007) Pinning complex networks by a single controller. IEEE Trans Circuits Syst I Regul Pap 54(6):1317–1326CrossRef
Fang M, Park JH (2013) Non-fragile synchronization of neural networks with time-varying delay and randomly occurring controller gain fluctuation. Appl Math Comput 219(15):8009–8017CrossRef
Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I Fundam Theory Appl 42(7):354–366CrossRef
Halanay A (1966) Differential equations: stability, oscillations, time lags, vol 23. Academic Press, New York
He W, Cao J (2009) Exponential synchronization of chaotic neural networks: a matrix measure approach. Nonlinear Dyn 55(1–2):55–65CrossRef
He X, Li C, Shu Y (2012) Bogdanov–Takens bifurcation in a single inertial neuron model with delay. Neurocomputing 89:193–201CrossRef
Horn RA, Johnson CR (2012) Matrix analysis. Cambridge university press, CambridgeCrossRef
Hu J, Liang J, Cao J (2014) Synchronization of hybrid-coupled heterogeneous networks: pinning control and impulsive control schemes. J Franklin Inst 361(5):2600–2622CrossRef
Hu J, Cao J, Yu J, Hayat T (2014) Consensus of nonlinear multi-agent systems with observer-based protocols. Syst Control Lett 72:71–79CrossRef
Hu J, Liang J, Karimi HR, Cao J (2013) Sliding intermittent control for BAM neural networks with delays. In: Abstract and applied analysis, vol 2013, Article ID: 615947
Jeong SC, Ji DH, Park JH, Won SC (2013) Adaptive synchronization for uncertain chaotic neural networks with mixed time delays using fuzzy disturbance observer. Appl Math Comput 219(11):5984–5995CrossRef
Juang J, Liang YH (2009) Coordinate transformation and matrix measure approach for synchronization of complex networks. Chaos 19(3):033131CrossRefPubMed
Ke Y, Miao C (2013) Stability and existence of periodic solutions in inertial BAM neural networks with time delay. Neural Comput Appl 23(3–4):1089–1099
Ke Y, Miao C (2013) Stability analysis of inertial Cohen–Grossberg-type neural networks with time delays. Neurocomputing 117:196–205CrossRef
Li C, Chen G, Liao X, Yu J (2004) Hopf bifurcation and chaos in a single inertial neuron model with time delay. Eur Phys J 41(3):337–343CrossRef
Li L, Cao J (2011) Cluster synchronization in an array of coupled stochastic delayed neural networks via pinning control. Neurocomputing 74(5):846–856CrossRef
Liu Q, Liao X, Liu Y, Zhou S, Guo S (2009) Dynamics of an inertial two-neuron system with time delay. Nonlinear Dyn 58(3):573–609CrossRef
Lu W, Chen T (2004) Synchronization of coupled connected neural networks with delays. IEEE Trans Circuits Syst Part 1 Regul Pap 51(12):2491–2503CrossRef
Lu J, Ho DWC, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Netw 20(10):1617–1629CrossRefPubMed
Shi X, Han L, Wang Z, Tang K (2014) Pinning synchronization of unilateral coupling neuron network with stochastic noise. Appl Math Comput 232:1242–1248CrossRef
Song Q, Cao J, Liu F (2012) Pinning synchronization of linearly coupled delayed neural networks. Math Comput Simul 86:39–51CrossRef
Song Q, Liu F, Cao J, Yu W (2012) Pinning-controllability analysis of complex networks: an M-matrix approach. IEEE Trans Circuits Syst I Regul Pap 59(11):2692–2701CrossRef
Sun J, Zhang Y (2004) Some simple global synchronization criterions for coupled time-varying chaotic systems. Chaos Solitons Fractals 19(1):93–98CrossRef
Wang XF, Chen G (2002) Pinning control of scale-free dynamical networks. Phys A 310(3):521–531CrossRef
Wang G, Shen Y, Yin Q (2013) Exponential synchronization of coupled memristive neural networks via pinning control. Chin Phys B 22(5):050504CrossRef
Wang W, Li L, Peng H, Xiao J, Yang Y (2014) Synchronization control of memristor-based recurrent neural networks with perturbations. Neural Netw 53:8–14CrossRefPubMed
Wen S, Bao G, Zeng Z, Chen Y, Huang T (2013) Global exponential synchronization of memristor-based recurrent neural networks with time-varying delays. Neural Netw 48:195–203CrossRefPubMed
Wu Z-G, Park JH, Su H, Chu J (2012) Discontinuous Lyapunov functional approach to synchronization of time-delay neural networks using sampled-data. Nonlinear Dyn 69(4):2021–2030CrossRef
Wu Z-G, Park JH (2013) Synchronization of discrete-time neural networks with time delays subject to missing data. Neurocomputing 122:418–424CrossRef
Yang X, Cao J, Yang Z (2013) Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller. SIAM J Control Optim 51(5):3486–3510CrossRef
Yang X, Cao J, Yu W (2014) Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays. Cogn Neurodyn 8(3):239–249CrossRefPubMed
Yang X, Cao J, Yu W (2014) Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control. Cogn Neurodyn. doi:10.​1007/​s11571-014-9307-z
Yu W, Chen G, Lv J, Kurths J (2013) Synchronization via pinning control on general complex networks. SIAM J Control Optim 51(2):1395–1416CrossRef
Zhang G, Shen Y, Wang L (2013) Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays. Neural Netw 46:1–8CrossRefPubMed
Zheng C, Cao J (2014) Robust synchronization of coupled neural networks with mixed delays and uncertain parameters by intermittent pinning control. Neurocomputing 141:153–159CrossRef
Zhou J, Wu X, Yu W et al (2008) Pinning synchronization of delayed neural networks. Chaos 18(4):043111CrossRefPubMed
Metadaten
Titel
Pinning synchronization of coupled inertial delayed neural networks
verfasst von
Jianqiang Hu
Jinde Cao
Abdulaziz Alofi
Abdullah AL-Mazrooei
Ahmed Elaiw
Publikationsdatum
01.06.2015
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 3/2015
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-014-9322-0

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