More Web Proxy on the site http://driver.im/

research-article

Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control

Authors:

K. Sivaranjani,

R. Rakkiyappan,

Ahmed AlsaediAuthors Info & Claims

Applied Mathematics and Computation, Volume 311, Issue C

Pages 283 - 299

https://doi.org/10.1016/j.amc.2017.05.007

Published: 15 October 2017 Publication History

Abstract

This study is concerned with the synchronization problem of nonlinear singularly perturbed complex networks with time-varying coupling delays. In an aim to shrink the treatment of network resources event triggered control strategy is proposed to achieve the synchronization criteria. By developing the novel LyapunovKrasovskii functional, some adequate conditions which ensure the asymptotic synchronization are obtained in the form of linear matrix inequalities. Besides that, synchronization problem of nonlinear singularly perturbed complex networks with uncertain inner coupling are also taken into account. The uncertain inner coupling is represented by making use of the interval matrix approach. Finally, simulation results are displayed to show the efficacy of the proposed theoretical results.

References

[1]

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

[2]

M. Fang, Synchronization for complex dynamical networks with time delay and discrete-time information, Appl. Math. Comput., 258 (2015) 1-11.

Digital Library

[3]

X. Yang, J. Cao, Hybrid adaptive and impulsive synchronization of uncertain complex networks with delays and general uncertain perturbations, Appl. Math. Comput., 227 (2014) 480-493.

Digital Library

[4]

J. Feng, P. Yang, Y. Zhao, Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control, Appl. Math. Comput., 291 (2016) 52-68.

Digital Library

[5]

Z. Tang, J.H. Park, T.H. Lee, J. Feng, Random adaptive control for cluster synchronization of complex networks with distinct communities, Int. J. Adapt. Control Signal Process., 30 (2016) 534-549.

Digital Library

[6]

Z. Tang, J.H. Park, T.H. Lee, Distributed adaptive pinning control for cluster synchronization of nonlinearly coupled Lure networks, Commun. Nonlin. Sci. Numer. Simul., 39 (2016) 7-20.

[7]

Z. Tang, J.H. Park, T.H. Lee, Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization, Nonlin. Dyn., 85 (2016) 2171-2181.

[8]

R. Rakkiyappan, N. Sakthivel, J. Cao, Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays, Neural Netw., 66 (2015) 46-63.

Digital Library

[9]

J.R. Winkelman, J.H. Chow, J.J. Allemong, P.V. Kokotovic, Multi-time-scale analysis of a power system, Automatica, 16 (1980) 35-43.

Digital Library

[10]

F. Ma, L. Fu, Principle of multi-time scale order reduction and its application in AC/DC hybrid power systems, 2008.

[11]

P. Sauer, S. Ahmed-Zaid, P. Kokotovic, An integral manifold approach to reduced order dynamic modeling of synchronous machines, IEEE Trans. Power Syst., 2 (1988) 17-23.

[12]

E. Barany, S. Schaffer, K. Wedeward, S. Ball, Nonlinear controllability of singularly perturbed models of power flow networks, 2004.

[13]

K.J. Lin, Stabilisation of singularly perturbed nonlinear systems via neural network-based control and observer design, Int. J. Syst. Sci., 44 (2013) 1925-1933.

Digital Library

[14]

W. Lu, F.M. Atay, J. Jost, Synchronization of discrete-time dynamical networks with time-varying couplings, SIAM J. Math. Anal., 39 (2008) 1231-1259.

[15]

X. Jin, G. Yang, W. Che, Adaptive pinning control of deteriorated nonlinear coupling networks with circuit realization, IEEE Trans. Neural Netw. Learn. Syst., 23 (2012) 1345-1355.

[16]

B. Shen, Z. Wang, D. Ding, H. Shu, H state estimation for complex networks with uncertain inner coupling and incomplete measurements, IEEE Trans. Neural Netw. Learn. Syst., 24 (2013) 2027-2037.

[17]

Z.C. Wu, J.H. Park, H. Su, B. Song, J. Chu, Exponential synchronization for complex dynamical networks with sampled-data, J. Frankl. Inst., 349 (2012) 2735-2749.

[18]

Q. Zhang, J. Chen, L. Wan, Impulsive generalized function synchronization of complex dynamical networks, Phys. Lett. A, 377 (2013) 2754-2760.

[19]

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.

[20]

X. Li, R. Rakkiyappan, N. Sakthivel, Non-fragile synchronization control for Markovian jumping complex dynamical networks with probabilistic time-varying coupling delay, Asian J. Contr., 17 (2015) 1678-1695.

[21]

Y. Liu, S.M. Lee, Improved results on sampled-data synchronization of complex dynamical networks with time-varying coupling delay, Nonlin. Dyn., 81 (2015) 931-938.

[22]

A. Wang, T. Dong, X. Liao, Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies, Neural Netw., 74 (2016) 52-57.

Digital Library

[23]

A. Hu, J. Cao, M. Hu, L. Guo, Event-triggered consensus of Markovian jumping multi-agent systems via stochastic sampling, IET Control Theory Appl., 9 (2015) 1964-1972.

[24]

J. Cheng, J.H. Park, Y. Liu, Z. Liu, L. Tang, Finite-time H fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions, Fuzzy Sets Syst., 314 (2017) 99-115.

[25]

J. Cheng, H. Zhu, S. Zhong, Y. Zeng, X. Dong, Finite-time H control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals, ISA Trans., 52 (2013) 768-774.

[26]

J. Zhou, H. Dong, J. Feng, Event-triggered communication for synchronization of Markovian jump delayed complex networks with partially unknown transition rates, Appl. Math. Comput., 293 (2017) 617-629.

Digital Library

[27]

Q. Xu, Y. Zhang, W. He, S. Xiao, Event-triggered networked H control of discrete-time nonlinear singular systems, Appl. Math. Comput., 298 (2017) 368-382.

Digital Library

[28]

Q. Li, B. Shen, J. Liang, J. Shu, Event-triggered synchronization control for complex networks with uncertain inner coupling, Int. J. Gen. Syst., 44 (2015) 212-225.

[29]

Y. Liu, Z. Wang, J. Liang, X. Liu, Synchronization and state estimation for discrete-time complex networks with distributed delays, IEEE Trans. Syst. Man Cybern. Part B (Cybern.), 38 (2008) 1314-1325.

Digital Library

[30]

Y. Liu, Z. Wang, X. Liu, Global exponential stability of generalized recurrent neural networks with discrete and distributed delays, Neural Netw., 19 (2006) 667-675.

Digital Library

[31]

S. Boyd, L.E. Ghoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.

[32]

C. Cai, J. Xu, Y. Liu, Y. Zou, Synchronization for linear singularly perturbed complex networks with coupling delays, Int. J. Gen. Syst., 44 (2015) 240-253.

[33]

C. Cai, Z. Wang, J. Xu, A. Alsaed, Decomposition approach to exponential synchronization for a class of nonlinear singularly perturbed complex networks, IET Control Theory Appl., 8 (2014) 1639-1647.

[34]

R. Rakkiyappan, K. Sivaranjani, Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays, Nonlin. Dyn., 84 (2016) 1623-1636.

[35]

K. Kang, K.S. Park, J.T. Lim, Exponential stability of singularly perturbed systems with time-delay and uncertainties, Int. J. Syst. Sci., 46 (2016) 170-178.

Digital Library

[36]

C. Peng, E. Tian, J. Zhang, D. Du, Decentralized event-triggering communication scheme for large-scale systems under network environments, Inf. Sci., 380 (2017) 132-144.

Digital Library

[37]

G. Ma, X. Liu, L. Qin, G. Wu, Finite-time event-triggered H control for switched systems with time-varying delay, Neurocomputing, 207 (2016) 828-842.

Digital Library

[38]

J. Liu, J. Tang, S. Fei, Event-triggered H filter design for delayed neural network with quantization., Neural Netw., 82 (2016) 39-48.

Digital Library

Cited By

Cai YLi FXia JShen H(2023)Non‐fragile state estimation of discrete‐time two‐time‐scale Markov jump complex networks subject to partially known probabilitiesInternational Journal of Adaptive Control and Signal Processing10.1002/acs.367537:12(3111-3124)Online publication date: 3-Dec-2023
https://dl.acm.org/doi/10.1002/acs.3675
Ren Z(2022)Event-Based State Estimation for Networked Singularly Perturbed Complex NetworksComplexity10.1155/2022/61229212022Online publication date: 1-Jan-2022
https://dl.acm.org/doi/10.1155/2022/6122921
Liu JWu HCao JFarouk A(2020)Event-triggered synchronization in fixed time for complex dynamical networks with discontinuous nodes and disturbancesJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-17953838:3(2503-2515)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.3233/JIFS-179538
Show More Cited By

Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control
1. Computing methodologies
  1. Artificial intelligence
    1. Control methods

Recommendations

Exponential synchronization of Lure complex dynamical networks with uncertain inner coupling and pinning impulsive control

This paper is concerned with the exponential synchronization of Lure type complex dynamical networks with uncertain coupling strength. A novel pinning impulsive controller is designed to achieve synchronization, in which, only selection of nodes are ...
Exponential synchronization of complex dynamical networks with time-varying inner coupling via event-triggered communication

The complex dynamic networks contains time-varying inner coupling.Event-triggered communication largely decrease the number of information updates.A useful lemma is given to analyze the convergence of the error dynamical system.A sufficient condition is ...
Synchronization of complex dynamical networks with uncertain inner coupling and successive delays based on passivity theory

This paper is discussed with the problem of passivity based synchronization for a class of complex dynamical networks (CDNs) consisting uncertain inner coupling matrix together with successive time-varying delays via a state feedback delayed controller. ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Applied Mathematics and Computation

Applied Mathematics and Computation Volume 311, Issue C

October 2017

332 pages

ISSN:0096-3003

Issue’s Table of Contents

Copyright © Elsevier Inc.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 15 October 2017

Author Tags

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

9
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 24 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Cai YLi FXia JShen H(2023)Non‐fragile state estimation of discrete‐time two‐time‐scale Markov jump complex networks subject to partially known probabilitiesInternational Journal of Adaptive Control and Signal Processing10.1002/acs.367537:12(3111-3124)Online publication date: 3-Dec-2023
https://dl.acm.org/doi/10.1002/acs.3675
Ren Z(2022)Event-Based State Estimation for Networked Singularly Perturbed Complex NetworksComplexity10.1155/2022/61229212022Online publication date: 1-Jan-2022
https://dl.acm.org/doi/10.1155/2022/6122921
Liu JWu HCao JFarouk A(2020)Event-triggered synchronization in fixed time for complex dynamical networks with discontinuous nodes and disturbancesJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-17953838:3(2503-2515)Online publication date: 1-Jan-2020
https://dl.acm.org/doi/10.3233/JIFS-179538
Pratap ARaja RAgarwal RCao JBagdasar O(2020)Multi-weighted Complex Structure on Fractional Order Coupled Neural Networks with Linear Coupling Delay: A Robust Synchronization ProblemNeural Processing Letters10.1007/s11063-019-10188-551:3(2453-2479)Online publication date: 1-Jun-2020
https://dl.acm.org/doi/10.1007/s11063-019-10188-5
Pan HYu XYang GXue L(2020)Robust consensus of fractional‐order singular uncertain multi‐agent systemsAsian Journal of Control10.1002/asjc.215122:6(2377-2387)Online publication date: 1-Dec-2020
https://dl.acm.org/doi/10.1002/asjc.2151
Qin ZWang JHuang YRen S(2018)Analysis and adaptive control for robust synchronization and H synchronization of complex dynamical networks with multiple time-delaysNeurocomputing10.1016/j.neucom.2018.02.031289:C(241-251)Online publication date: 10-May-2018
https://dl.acm.org/doi/10.1016/j.neucom.2018.02.031
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
Liang KDai MShen HWang JWang ZChen B(2018)L2L synchronization for singularly perturbed complex networks with semi-Markov jump topologyApplied Mathematics and Computation10.1016/j.amc.2017.10.039321:C(450-462)Online publication date: 15-Mar-2018
https://dl.acm.org/doi/10.1016/j.amc.2017.10.039
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

View Options

View options

Media

Figures

Other

Tables

View Issue’s Table of Contents