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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 2/2015

01.04.2015 | Research Article

Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control

verfasst von: Xinsong Yang, Jinde Cao, Daniel W. C. Ho

Erschienen in: Cognitive Neurodynamics | Ausgabe 2/2015

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Abstract

This paper investigates drive-response synchronization for a class of neural networks with time-varying discrete and distributed delays (mixed delays) as well as discontinuous activations. Strict mathematical proof shows the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays. State feedback controller and impulsive controller are designed respectively to guarantee global exponential synchronization of the neural networks. By using Lyapunov function and new analysis techniques, several new synchronization criteria are obtained. Moreover, lower bound on the convergence rate is explicitly estimated when state feedback controller is utilized. Results of this paper are new and some existing ones are extended and improved. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
Vorheriger Artikel Improving N1 classification by grouping EEG trials with phases of pre-stimulus EEG oscillations
Nächster Artikel Energy coding in neural network with inhibitory neurons

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Literatur
Aubin J, Cellina A (1984) Differential inclusions: set-valued maps and viability theory. Springer, New YorkCrossRef
Balasubramaniam P, Ntouyas SK, Vinayagam D (2005) Existence of solutions of semilinear stochastic delay evolution inclusions in a Hilbert space. J Math Anal Appl 305(2):438–451CrossRef
Benchohra M, Ntouyas SK (2000) Existence of mild solutions of semilinear evolution inclusions with nonlocal conditions. Georgian Math J 7(2):221–230
Cai Z, Huang L (2011) Existence and global asymptotic stability of periodic solution for discrete and distributed time-varying delayed neural networks with discontinuous activations. Neurocomputing 74:3170–3179CrossRef
Cao J, Alofi A, Al-Mazrooei A, Elaiw A (2013) Synchronization of switched interval networks and applications to chaotic neural networks. Abstr Appl Anal. Article ID 940573, 11 p
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
Cao J, Wang Z, Sun Y (2007) Synchronization in an array of linearly stochastically coupled networks with time delays. Physica A 385(2):718–728CrossRef
Clarke F (1983) Optimization and nonsmooth analysis. Wiley, New York
Danca M (2004) Controlling chaos in discontinuous dynamical systems. Chaos Solitons Fractals 22:605–612CrossRef
Di Marco M, Forti M, Grazzini M, Pancioni L (2005) Fourth-order nearly-symmetric cnns exhibiting complex dynamics. Int J Bifurc Chaos 15(5):1579–1587CrossRef
Di Marco M, Forti M, Grazzini M, Pancioni L (2010) Limit set dichotomy and convergence of semiflows defined by cooperative standard cnns. Int J Bifurc Chaos 20(11):3549–3563CrossRef
Filippov A (1960) Differential equations with discontinuous right-hand side. Matematicheskii Sb 93(1):99–128
Forti M, Nistri P (2003) Global convergence of neural networks with discontinuous neuron activations. IEEE Trans Circuts Syst I 50(11):1421–1435CrossRef
Forti M, Grazzini M, Nistri P, Pancioni L (2006) Generalized lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Physica D 214(1):88–99CrossRef
Forti M, Nistri P, Papini D (2005) Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain. IEEE Trans Neural Netw 16(6):1449–1463CrossRefPubMed
Haddad G (1981) Monotone viable trajectories for functional differential inclusions. J Differ Eq 42(1):1–24CrossRef
Kamel MS, Xia Y (2009) Cooperative recurrent modular neural networks for constrained optimization: a survey of models and applications. Cogn Neurodyn 3(1):47–81CrossRefPubMedCentralPubMed
Li JH, Michel AN, Porod W (1989) Analysis and synthesis of a class of neural networks: variable structure systems with infinite grain. IEEE Trans Circuts Syst 36(5):713–731CrossRef
Liao CW, Lu CY (2011) Design of delay-dependent state estimator for discrete-time recurrent neural networks with interval discrete and infinite-distributed time-varying delays. Cogn Neurodyn 5(2):133–143CrossRefPubMedCentralPubMed
Liao T, Huang NS (1999) An observer-based approach for chaotic synchronization with applications to secure communications. IEEE Trans Circuts Syst I 46(9):1144–1150CrossRef
Liu J, Liu X, Xie W (2012) Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations. Inf Sci 183:92–105CrossRef
Liu X, Park JH, Jiang N, Cao J (2014) Nonsmooth finite-time stabilization of neural networks with discontinuous activations. Neural Netw 52:25–32CrossRefPubMed
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(10):1013–1021CrossRefPubMed
Lu W, Chen T (2008) Almost periodic dynamics of a class of delayed neural networks with discontinuous activations. Neural Comput 20(4):1065–1090CrossRefPubMed
Lu W, Chen T (2006) Dynamical behaviors of delayed neural network systems with discontinuous activation functions. Neural Comput 18(3):683–708CrossRef
Martelli M (1975) A Rothe’s type theorem for non compact acyclic-valued maps. Boll Unione Mat Ital 4(3):70–76
Paden B, Sastry S (1987) A calculus for computing Filippov’s differential inclusion with application to the variable structure control of robot manipulators. IEEE Trans Circuts Syst 34(1):73–82CrossRef
Pecora L, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64(8):821–824CrossRefPubMed
Wang J, Huang L, Guo Z (2009) Global asymptotic stability of neural networks with discontinuous activations. Neural Netw 22(7):931–937CrossRefPubMed
Wang T, Xie L, de Souza CE (1992) Robust control of a class of uncertain nonlinear systems. Syst Control Lett 19(2):139–149CrossRef
Wang Y, Wang Z, Liang J, Li Y, Du M (2010) Synchronization of stochastic genetic oscillator networks with time delays and Markovian jumping parameters. Neurocomputing 73(13–15):2532–2539CrossRef
Xu A, Du Y, Wang R (2014) Interaction between different cells in olfactory bulb and synchronous kinematic analysis. Discrete Dyn Nat Soc. Artical ID 808792
Yan C, Wang R (2014) Asymmetric neural network synchronization and dynamics based on an adaptive learning rule of synapses. Neurocomputing 125:41–45CrossRef
Yang X, Cao J (2010) Finite-time stochastic synchronization of complex networks. Appl Math Model 34(11):3631–3641CrossRef
Yang X, Cao J (2013) Exponential synchronization of delayed neural networks with discontinuous activations. IEEE Trans Circuts Syst I 60(9):2431–2439
Yang X, Huang C, Zhu Q (2011a) Synchronization of switched neural networks with mixed delays via impulsive control. Chaos Solitons Fractals 44(10):817–826CrossRef
Yang X, Cao J, Lu J (2011b) Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Anal Real World Appl 12:2252–2266CrossRef
Yang X, Cao J, Lu J (2013) Synchronization of coupled neural networks with random coupling strengths and mixed probabilistic time-varying delays. Int J Robust Nonlinear Control 23(18):2060–2081CrossRef
Yang X, Cao J, Yu W (2014) Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays. Cogn Neurodyn 8(3):239–249CrossRefPubMed
Zhang Z, Cao J, Zhou D (2014) Novel lmi-based condition on global asymptotic stability for a class of Cohen–Grossberg BAM networks with extended activation functions. IEEE Trans Neural Netw Lear Syst 25(6):1161–1172CrossRef
Metadaten
Titel
Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control
verfasst von
Xinsong Yang
Jinde Cao
Daniel W. C. Ho
Publikationsdatum
01.04.2015
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 2/2015
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-014-9307-z

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