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research-article

Hybrid adaptive and impulsive synchronization of uncertain complex networks with delays and general uncertain perturbations

Authors:

Jinde CaoAuthors Info & Claims

Applied Mathematics and Computation, Volume 227, Issue C

Pages 480 - 493

Published: 15 January 2014 Publication History

Abstract

This paper is concerned with the problem of asymptotic synchronization for a class of uncertain complex networks with delays and general uncertain perturbations. In order to cope with the bad effects generated by the uncertain perturbations, a novel hybrid adaptive and impulsive controller is designed such that the complex network can be asymptotically synchronized onto an isolate chaotic system with uncertain perturbations. All the perturbations can be different from each other. On the basis of a new lemma, squeezing rule, and Lyapunov-Krasovskii functionals, several sufficient conditions guaranteeing the realization of the synchronization goal are derived. It is shown that the designed hybrid controllers exhibit powerful robustness. Some existing results are improved and extended. Numerical simulations verify the effectiveness of the theoretical results and the robustness of the new controller.

References

[1]

B.A. Huberman, L.A. Adamic, Growth dynamics of the world-wide-web, Nature, 401 (1999) 131.

[2]

R. Pastor-Satorras, E. Smith, R.V. Solé, Evolving protein interaction networks through gene duplication, J. Theor. Biol., 222 (2003) 199-210.

[3]

R. Pastor-Satorras, A. Vespignani, Epidemic spreading in scale-free networks, Phys. Rev. Lett., 86 (2001) 3200-3203.

[4]

A.L. Barabási, H. Jeong, Z. Néda, E. Ravasz, A. Schubert, T. Vicsek, Evolution of the social network of scientific collaborations, Phys. A, 311 (2002) 590-614.

[5]

F. Wang, Y. Sun, self-organizing peer-to-peer social networks, Comput. Intell., 24 (2008) 213-233.

[6]

C. Li, X. Liao, K. Wong, Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication, Phys. D, 194 (2004) 187-202.

[7]

Q. Xie, G. Chen, E. Bollt, Hybrid chaos synchronization and its application in information processing, Math. Comput. Model., 35 (2002) 145-163.

Digital Library

[8]

W. Yu, G. Chen, J. Cao, Adaptive synchronization of uncertain coupled stochastic complex networks, Asian J. Control, 13 (2011) 418-429.

[9]

X. Wu, Synchronization-based topoligy identification of weighted general complex dynamical networks with time-varying coupling delay, Phys. A, 387 (2008) 997-1008.

[10]

T.H. Lee, Z.-G. Wu, J.H. Park, Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control, Appl. Math. Comput., 219 (2012) 1354-1366.

[11]

H. Liu, J. Chen, J. Lu, M. Cao, Generalized synchronization in complex dynamical networks via adaptive couplings, Phys. A, 389 (2010) 1759-1770.

[12]

J. Wang, H. Zhang, Z. Wang, B. Wang, Local exponential synchronization in complex dynamical networks with time-varying delay and hybrid coupling, Appl. Math. Comput., 225 (2013) 16-32.

Digital Library

[13]

W. Lu, T. Chen, Synchronization of coupled connected neural networks with delays, IEEE Trans. Circ. Syst. I, 51 (2004) 2491-2503.

[14]

X. Yang, J. Cao, Stochastic synchronization of coupled neural networks with intermittent control, Phys. Lett. A, 373 (2009) 3259-3272.

[15]

C.C. Yang, Adaptive control and synchronization of identical new chaotic flows with unknown parameters via single input, Appl. Math. Comput., 216 (2010) 1316-1324.

Digital Library

[16]

Y. Xiao, W. Xu, S. Tang, X. Li, Adaptive complete synchronization of the noise-perturbed two bi-directionally coupled chaotic systems with time-delay and unknown parametric mismatch, Appl. Math. Comput., 213 (2009) 538-547.

Digital Library

[17]

J. Cao, Z. Wang, Y. Sun, Synchronization in an array of linearly stochastically coupled networks with time delays, Phys. A, 385 (2007) 718-728.

[18]

J. Zhou, J. Lu, J. Lü, Adaptive pinning synchronization of a complex dynamical network, Automatica, 44 (2008) 996-1003.

Digital Library

[19]

C. Zhu, Adaptive synchronization of two novel different hyperchaotic systems with partly uncertain parameters, Appl. Math. Comput., 215 (2009) 557-561.

Digital Library

[20]

T. Stojanovski, L. Kocraev, U. Parlitz, Driving and synchronization by chaotic impulses, Phys. Rev. E, 54 (1996) 2128-2131.

[21]

B. Liu, X. Liu, G. Chen, H. Wang, Robust impulsive synchronization of uncertain dynamical networks, IEEE Trans. Circuits Syst. I, 52 (2005) 1431-1441.

[22]

P. Li, J. Cao, Z. Wang, Robust impulsive synchronization of coupled delayed neural networks with uncertainties, Phys. A, 373 (2006) 261-272.

[23]

J. Zhou, L. Xiang, Z. Liu, Synchronization in complex delayed dynamical networks with impulsive effects, Phys. A, 384 (2007) 684-692.

[24]

X. Yang, J. Cao, Z. Yang, Synchronization of reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller, SIAM J. Control Optim., 51 (2013) 3486-3510.

[25]

K. Li, C.H. Lai, Adaptive-impulsive synchronization of uncertain complex dynamical networks, Phys. Lett. A, 372 (2008) 1601-1606.

[26]

H.B. Jiang, Hybrid adaptive and impulsive synchronization of uncertain complex dynamical networks by the generalized Barbalat's lemma, IET Control Theory Appl., 3 (2009) 1330-1340.

[27]

S. Bowong, F. Kakmeni, Chaos control and duration time of uncertain chaotic systems, Phys. Lett. A, 316 (2003) 206-217.

[28]

H. Huang, G. Feng, Synchronization of nonidentical chaotic neural networks with time delays, Neural Networks, 22 (2009) 869-874.

Digital Library

[29]

J. Yao, Z. Guan, D. Hill, Passivity-based control and synchronization of general complex dynamical networks, Automatica, 45 (2009) 2107-2113.

Digital Library

[30]

S. Gao, N. Zhang, L. Hao, J. Ma, X. Kang, M. Yang, Mathematical Analysis (book) (in Chinese), Higher Education Press, Beijing, 2005.

[31]

C. Edwards, S. Spurgeon, R. Patton, Sliding mode observers for fault detection and isolation, Automatica, 36 (2000) 541-548.

Digital Library

[32]

J. Lin, J. Yan, Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller, Nonlinear Anal. RWA, 10 (2009) 1151-1159.

[33]

A.L. Barabási, R. Albert, Emergence of scaling in random networks, Science, 286 (1999) 509-512.

Cited By

Zhang WYang XYang SHuang CAlsaadi F(2021)Fixed-time control of competitive complex networksNeural Computing and Applications10.1007/s00521-020-05539-633:13(7943-7951)Online publication date: 1-Jul-2021
https://dl.acm.org/doi/10.1007/s00521-020-05539-6
Li RGao XCao J(2019)Exponential Synchronization of Stochastic Memristive Neural Networks with Time-Varying DelaysNeural Processing Letters10.1007/s11063-019-09989-550:1(459-475)Online publication date: 1-Aug-2019
https://dl.acm.org/doi/10.1007/s11063-019-09989-5
Corra ELopes AAmancio D(2018)Word sense disambiguationInformation Sciences: an International Journal10.1016/j.ins.2018.02.047442:C(103-113)Online publication date: 1-May-2018
https://dl.acm.org/doi/10.1016/j.ins.2018.02.047
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Index Terms

Hybrid adaptive and impulsive synchronization of uncertain complex networks with delays and general uncertain perturbations
1. Computing methodologies
  1. Artificial intelligence
    1. Control methods

Index terms have been assigned to the content through auto-classification.

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cover image Applied Mathematics and Computation

Applied Mathematics and Computation Volume 227, Issue C

January 2014

887 pages

ISSN:0096-3003

Issue’s Table of Contents

Copyright © Elsevier Inc.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 15 January 2014

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Cited By

Zhang WYang XYang SHuang CAlsaadi F(2021)Fixed-time control of competitive complex networksNeural Computing and Applications10.1007/s00521-020-05539-633:13(7943-7951)Online publication date: 1-Jul-2021
https://dl.acm.org/doi/10.1007/s00521-020-05539-6
Li RGao XCao J(2019)Exponential Synchronization of Stochastic Memristive Neural Networks with Time-Varying DelaysNeural Processing Letters10.1007/s11063-019-09989-550:1(459-475)Online publication date: 1-Aug-2019
https://dl.acm.org/doi/10.1007/s11063-019-09989-5
Corra ELopes AAmancio D(2018)Word sense disambiguationInformation Sciences: an International Journal10.1016/j.ins.2018.02.047442:C(103-113)Online publication date: 1-May-2018
https://dl.acm.org/doi/10.1016/j.ins.2018.02.047
Yang HWang XZhong SShu L(2018)Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed controlApplied Mathematics and Computation10.1016/j.amc.2017.09.019320:C(75-85)Online publication date: 1-Mar-2018
https://dl.acm.org/doi/10.1016/j.amc.2017.09.019
Chen CLi LPeng HYang YLi T(2018)Synchronization Control of Coupled Memristor-Based Neural Networks with Mixed Delays and Stochastic PerturbationsNeural Processing Letters10.1007/s11063-017-9675-647:2(679-696)Online publication date: 1-Apr-2018
https://dl.acm.org/doi/10.1007/s11063-017-9675-6
Ding JCao JFeng GAlsaedi AAl-Barakati AFardoun H(2018)Stability Analysis of Delayed Impulsive Systems and ApplicationsCircuits, Systems, and Signal Processing10.1007/s00034-017-0600-z37:3(1062-1080)Online publication date: 1-Mar-2018
https://dl.acm.org/doi/10.1007/s00034-017-0600-z
Sowmiya CRaja RCao JRajchakit G(2018)Enhanced result on stability analysis of randomly occurring uncertain parameters, leakage, and impulsive BAM neural networks with time‐varying delaysInternational Journal of Adaptive Control and Signal Processing10.1002/acs.288332:7(1010-1039)Online publication date: 3-Jul-2018
https://dl.acm.org/doi/10.1002/acs.2883
Dai HChen WJia JLiu JZhang Z(2017)Exponential synchronization of complex dynamical networks with time-varying inner coupling via event-triggered communicationNeurocomputing10.1016/j.neucom.2017.03.035245:C(124-132)Online publication date: 5-Jul-2017
https://dl.acm.org/doi/10.1016/j.neucom.2017.03.035
Sivaranjani KRakkiyappan RCao JAlsaedi A(2017)Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered controlApplied Mathematics and Computation10.1016/j.amc.2017.05.007311:C(283-299)Online publication date: 15-Oct-2017
https://dl.acm.org/doi/10.1016/j.amc.2017.05.007
Rakkiyappan RVelmurugan GNicholas George JSelvamani R(2017)Exponential synchronization of Lure complex dynamical networks with uncertain inner coupling and pinning impulsive controlApplied Mathematics and Computation10.1016/j.amc.2017.02.041307:C(217-231)Online publication date: 15-Aug-2017
https://dl.acm.org/doi/10.1016/j.amc.2017.02.041
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