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Erschienen in: Neural Processing Letters 2/2015

01.10.2015

Synchronization Analysis of Coupled Stochastic Neural Networks with On–Off Coupling and Time-Delay

verfasst von: Guan Wang, Yi Shen, Quan Yin

Erschienen in: Neural Processing Letters | Ausgabe 2/2015

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Abstract

In this paper, synchronization problem of coupled neural networks with stochastic disturbances and time-delay is analyzed. For the system under study, each subsystem interacts with others in an on–off way which can be employed to deal with communication congestion in signals transmission. By stochastic analysis techniques, sufficient conditions that guarantee mean square synchronization of the coupled system are established. Moreover, the underlying network needs not be undirected or strongly connected. Finally, some numerical simulations are given to verify the usefulness and effectiveness of our results.

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Literatur
1.
Zurück zum Zitat Chang C, Fan K, Chung I, Lin C (2006) A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning. IEEE Trans Circuits Syst Express Briefs 53:602–606CrossRef Chang C, Fan K, Chung I, Lin C (2006) A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning. IEEE Trans Circuits Syst Express Briefs 53:602–606CrossRef
3.
Zurück zum Zitat Karimi H, Gao H (2010) New delay-dependent exponential \(H_{\infty }\) synchronization for uncertain neural networks with mixed time delays. IEEE Trans Syst Man Cybern Part B 40:173–185CrossRefMATH Karimi H, Gao H (2010) New delay-dependent exponential \(H_{\infty }\) synchronization for uncertain neural networks with mixed time delays. IEEE Trans Syst Man Cybern Part B 40:173–185CrossRefMATH
4.
Zurück zum Zitat Cao J, Chen G, Li P (2008) Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Trans Syst Man Cybern Part B 38:488–498CrossRef Cao J, Chen G, Li P (2008) Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Trans Syst Man Cybern Part B 38:488–498CrossRef
5.
Zurück zum Zitat Zhang H, Wang Y (2008) Stability analysis of Markovian jumping stochastic Cohen–Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 19:366–370CrossRef Zhang H, Wang Y (2008) Stability analysis of Markovian jumping stochastic Cohen–Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 19:366–370CrossRef
6.
Zurück zum Zitat Liang J, Wang Z, Liu Y, Liu X (2008) Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans Neural Netw 19:1910–1920CrossRef Liang J, Wang Z, Liu Y, Liu X (2008) Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans Neural Netw 19:1910–1920CrossRef
7.
Zurück zum Zitat Shen Y, Wang J (2007) Noise-induced stabilization of the recurrent neural networks with mixed time-varying delays and Markovian-switching parameters. IEEE Trans Neural Netw 18:1857–1862CrossRef Shen Y, Wang J (2007) Noise-induced stabilization of the recurrent neural networks with mixed time-varying delays and Markovian-switching parameters. IEEE Trans Neural Netw 18:1857–1862CrossRef
8.
Zurück zum Zitat Shen Y, Wang J (2009) Almost sure exponential stability of recurrent neural networks with Markovian switching. IEEE Trans Neural Netw 20:840–855CrossRef Shen Y, Wang J (2009) Almost sure exponential stability of recurrent neural networks with Markovian switching. IEEE Trans Neural Netw 20:840–855CrossRef
9.
Zurück zum Zitat Liu Y, Wang Z, Liang J, Liu X (2009) Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans Neural Netw 20:1102–1116CrossRef Liu Y, Wang Z, Liang J, Liu X (2009) Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans Neural Netw 20:1102–1116CrossRef
10.
Zurück zum Zitat Liu Y, Wang Z, Liu X (2009) On global stability of delayed BAM stochastic neural networks with Markovian switching. Neural Process Lett 30:19–35CrossRef Liu Y, Wang Z, Liu X (2009) On global stability of delayed BAM stochastic neural networks with Markovian switching. Neural Process Lett 30:19–35CrossRef
11.
Zurück zum Zitat Lu J, Ho D, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Netw 20:1617–1629CrossRefMATH Lu J, Ho D, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Netw 20:1617–1629CrossRefMATH
12.
Zurück zum Zitat Suganthan P, Teoh E, Mital D (1995) Pattern recognition by homomorphic graph matching using Hopfield neural networks. Image Vis Comput 13:45–60CrossRef Suganthan P, Teoh E, Mital D (1995) Pattern recognition by homomorphic graph matching using Hopfield neural networks. Image Vis Comput 13:45–60CrossRef
13.
Zurück zum Zitat Zhang H, Liu Z, Huang G, Wang Z (2010) Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans Neural Netw 21:91–106CrossRef Zhang H, Liu Z, Huang G, Wang Z (2010) Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans Neural Netw 21:91–106CrossRef
14.
Zurück zum Zitat Wu A, Zeng Z (2012) Exponential stabilization of memristive neural networks with time delays. IEEE Trans Neural Netw Learn Syst 23:1919–1929CrossRefMATH Wu A, Zeng Z (2012) Exponential stabilization of memristive neural networks with time delays. IEEE Trans Neural Netw Learn Syst 23:1919–1929CrossRefMATH
15.
Zurück zum Zitat Zhang H, Ma T, Huang G, Wang Z (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern Part B Cybern 40:831–844CrossRef Zhang H, Ma T, Huang G, Wang Z (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern Part B Cybern 40:831–844CrossRef
16.
Zurück zum Zitat Yang X, Cao J, Lu J (2012) Synchronization of Markovian coupled neural networks with nonidentical node-delays and random coupling strengths. IEEE Trans Neural Netw Learn Syst 23:60–71MathSciNetCrossRef Yang X, Cao J, Lu J (2012) Synchronization of Markovian coupled neural networks with nonidentical node-delays and random coupling strengths. IEEE Trans Neural Netw Learn Syst 23:60–71MathSciNetCrossRef
17.
Zurück zum Zitat Zhang H, Gong D, Wang Z, Ma D (2012) Synchronization criteria for an array of neutral-type neural networks with hybrid coupling: a novel analysis approach. Neural Process Lett 35:29–45CrossRef Zhang H, Gong D, Wang Z, Ma D (2012) Synchronization criteria for an array of neutral-type neural networks with hybrid coupling: a novel analysis approach. Neural Process Lett 35:29–45CrossRef
18.
Zurück zum Zitat Xia Y, Yang Z, Han M (2009) Lag synchronization of unknown chaotic delayed Yang-Yang-Type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification. IEEE Trans Neural Netw 20:1165–1180CrossRefMATH Xia Y, Yang Z, Han M (2009) Lag synchronization of unknown chaotic delayed Yang-Yang-Type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification. IEEE Trans Neural Netw 20:1165–1180CrossRefMATH
19.
Zurück zum Zitat Zeng Z, Wang J (2009) Associative memories based on continuous-time cellular neural networks designed using space-invariant cloning templates. Neural Netw 22:651–657CrossRef Zeng Z, Wang J (2009) Associative memories based on continuous-time cellular neural networks designed using space-invariant cloning templates. Neural Netw 22:651–657CrossRef
20.
Zurück zum Zitat Zhu S, Shen Y (2011) Passivity analysis of stochastic delayed neural networks with Markovian switching. Neurocomputing 74:1754–1761CrossRefMATH Zhu S, Shen Y (2011) Passivity analysis of stochastic delayed neural networks with Markovian switching. Neurocomputing 74:1754–1761CrossRefMATH
21.
Zurück zum Zitat Zhang G, Shen Y, Sun J (2012) Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97:149–154CrossRef Zhang G, Shen Y, Sun J (2012) Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97:149–154CrossRef
22.
Zurück zum Zitat Kadji H, Orou J, Woafo P (2008) Synchronization dynamics in a ring of four mutually coupled biological systems. Commun Nonlinear Sci Numer Simul 13:1361–1372MathSciNetCrossRef Kadji H, Orou J, Woafo P (2008) Synchronization dynamics in a ring of four mutually coupled biological systems. Commun Nonlinear Sci Numer Simul 13:1361–1372MathSciNetCrossRef
23.
Zurück zum Zitat Massimiliano D, Mario D, Edmondo D, Sabato M (2012) Synchronization of networks of non-identical chua’s circuits: analysis and experiments. IEEE Trans Circuits Syst Regul Pap 59:1029–1041CrossRef Massimiliano D, Mario D, Edmondo D, Sabato M (2012) Synchronization of networks of non-identical chua’s circuits: analysis and experiments. IEEE Trans Circuits Syst Regul Pap 59:1029–1041CrossRef
24.
Zurück zum Zitat Wu C, Chua L (1995) Synchronization in an array of linearly coupled dynamical systems. IEEE Trans Circuits Syst I Fundam Theor Appl 42:430–447MathSciNetCrossRef Wu C, Chua L (1995) Synchronization in an array of linearly coupled dynamical systems. IEEE Trans Circuits Syst I Fundam Theor Appl 42:430–447MathSciNetCrossRef
25.
Zurück zum Zitat Liu H, Lu J, Lü J, Hill D (2009) Structure identification of uncertain general complex dynamical networks with time delay. Automatica 45:1799–1807CrossRefMATH Liu H, Lu J, Lü J, Hill D (2009) Structure identification of uncertain general complex dynamical networks with time delay. Automatica 45:1799–1807CrossRefMATH
26.
Zurück zum Zitat Wu C (2010) Evolution and dynamics of complex networks of coupled systems. IEEE Circuits Syst Mag 10:55–63CrossRef Wu C (2010) Evolution and dynamics of complex networks of coupled systems. IEEE Circuits Syst Mag 10:55–63CrossRef
27.
Zurück zum Zitat Wang Z, Wang Y, Liu Y (2010) Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays. IEEE Trans Neural Netw 21:11–25CrossRef Wang Z, Wang Y, Liu Y (2010) Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays. IEEE Trans Neural Netw 21:11–25CrossRef
28.
Zurück zum Zitat Lü J, Chen G (2005) A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans Autom Control 50:841–846CrossRef Lü J, Chen G (2005) A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans Autom Control 50:841–846CrossRef
29.
Zurück zum Zitat Qin B, Lu X (2010) Adaptive approach to global synchronization of directed networks with fast switching topologies. Phys Lett A 374:3942–3950CrossRef Qin B, Lu X (2010) Adaptive approach to global synchronization of directed networks with fast switching topologies. Phys Lett A 374:3942–3950CrossRef
30.
Zurück zum Zitat Chen L, Qiu C, Huang H (2009) Synchronization with on–off coupling: role of time scales in network dynamics. Phys Rev E 79:045101CrossRef Chen L, Qiu C, Huang H (2009) Synchronization with on–off coupling: role of time scales in network dynamics. Phys Rev E 79:045101CrossRef
31.
Zurück zum Zitat Lü J, Yu X, Chen G, Cheng D (2004) Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circuits Syst Regul Pap 51:787–796CrossRef Lü J, Yu X, Chen G, Cheng D (2004) Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circuits Syst Regul Pap 51:787–796CrossRef
32.
Zurück zum Zitat Yang M, Wang Y, Xiao J, Wang H (2010) Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays. Nonlinear Anal Real World Appl 11:3008–3020MathSciNetCrossRefMATH Yang M, Wang Y, Xiao J, Wang H (2010) Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays. Nonlinear Anal Real World Appl 11:3008–3020MathSciNetCrossRefMATH
33.
34.
Zurück zum Zitat Chen B, Chiang C, Nguang S (2011) Robust \(H_{\infty }\) synchronization design of nonlinear coupled network via fuzzy interpolation method. IEEE Trans Circuits Syst Regul Pap 58:349–362MathSciNetCrossRef Chen B, Chiang C, Nguang S (2011) Robust \(H_{\infty }\) synchronization design of nonlinear coupled network via fuzzy interpolation method. IEEE Trans Circuits Syst Regul Pap 58:349–362MathSciNetCrossRef
35.
Zurück zum Zitat Wu W, Zhou W, Chen T (2009) Cluster synchronization of linearly coupled complex networks under pinning control. IEEE Trans Circuits Syst Regul Pap 56:829–839MathSciNetCrossRefMATH Wu W, Zhou W, Chen T (2009) Cluster synchronization of linearly coupled complex networks under pinning control. IEEE Trans Circuits Syst Regul Pap 56:829–839MathSciNetCrossRefMATH
36.
Zurück zum Zitat Li C, Liao X, Huang T (2007) Exponential stabilization of chaotic systems with delay by periodically intermittent control. Chaos 17:013103MathSciNetCrossRefMATH Li C, Liao X, Huang T (2007) Exponential stabilization of chaotic systems with delay by periodically intermittent control. Chaos 17:013103MathSciNetCrossRefMATH
Metadaten
Titel
Synchronization Analysis of Coupled Stochastic Neural Networks with On–Off Coupling and Time-Delay
verfasst von
Guan Wang
Yi Shen
Quan Yin
Publikationsdatum
01.10.2015
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2015
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-014-9369-2

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