All Title Author
Keywords Abstract

Publish in OALib Journal
ISSN: 2333-9721
APC: Only $99

ViewsDownloads

Relative Articles

More...

循环切换网络的固定时同步
Fix-Time Synchronization of Cyclic Switched Networks

DOI: 10.12677/DSC.2021.101008, PP. 70-76

Keywords: 固定时同步,反馈控制,循环切换复杂网络
Fix-Time Synchronization
, Feedback Control, Cyclic Switched Complex Networks

Full-Text   Cite this paper   Add to My Lib

Abstract:

由于其在现实生活中的广泛应用,复杂网络的同步已经成为了一个热门的话题。通过加反馈控制器,本文研究了一类循环切换复杂网络的固定时同步问题。基于李雅普诺夫稳定性理论以及反馈控制技巧,我们详细证明了在所给的充分条件下,所得固定时同步结论的正确性。此外,我们给出停时的表达式。最后,通过一个数值实例,我们证明了理论结果的正确性。本文的结果可以适用于具体的循环切换复杂网络。
Due to its wide application in real life, the synchronization of complex networks has become a hot topic. In this article, we investigate the fix-time synchronization for cyclic switched complex networks by feedback controllers. Based on the Lyapunov stability theory and the feedback control technique, we prove in detail the correctness of the conclusion on fix-time synchronization under the given sufficient conditions. In addition, the expression of settling time is estimated. Last but not the least, a numerical example is presented to illustrate the validity of theoretical results. The conclusions of this paper are applicable to the concrete cyclic switched complex networks.

References

[1]  Wang, Z.X., Jiang, G.P., Yu, W.W., He, W.L., Cao, J.D. and Xiao, M. (2017) Synchronization of Coupled Heterogeneous Complex Networks. Journal of the Franklin Institute, 354, 4102-4125.
[2]  Mirollo, R.E. and Strogatz, S.H. (1990) Synchronization of Pulse-Coupled Biological Oscillators. SIAM Journal on Applied Mathematics, 50, 1645-1662.
https://doi.org/10.1038/nature10680
[3]  Wei, G.W. and Jia, Y.Q. (2002) Synchronization-Based Image Edge Detection. Europhysics Letters, 59, 814-819.
https://doi.org/10.1038/nmat1967
[4]  Nechifora, A., Albub, M., Hairc, R. and Terzijaa, V. (2015) A Flexible Platform for Synchronized Measurements, Data Aggregation and Information Retrieval. Electric Power Systems Research, 120, 20-31.
https://doi.org/10.1021/nn1015874
[5]  Liu, J., Li, L.L. and Fardoun, H.M. (2020) Complete Synchronization of Coupled Boolean Networks with Arbitrary Finite Delays. Frontiers of Information Technology & Electronic Engineering, 21, 281-293.
https://doi.org/10.1021/nl102069z
[6]  Ren, L. and Zhang, G.S. (2019) Adaptive Projective Synchronization for a Class of Switched Chaotic Systems. Mathematical Methods in the Applied Sciences, 42, 6192-6204.
https://doi.org/10.1063/1.4818458
[7]  Aguirre, L.A. and Freitas, L. (2018) Control and Observability Aspects of Phase Synchronization. Nonlinear Dynamics, 91, 2203-2217.
https://doi.org/10.1021/nl103079j
[8]  Cai, S.M., Zhou, F.L. and He, Q.B. (2019) Fixed-Time Cluster Lag Synchronization in Directed Heterogeneous Community Networks. Physica A, 525, 128-142.
https://doi.org/10.1063/1.3536529
[9]  Zhang, C.L., Deng, F.Q., Zhang, W.F., Hou, T. and Yang, Z.W. (2019) Anti-Synchronization and Synchronization of Coupled Chaotic System with Ring Connection and Stochastic Perturbations. IEEE Access, 7, 76902-76909.
https://doi.org/10.1021/acs.nanolett.5b00939
[10]  Gan, Q., Xiao, F., Qin, Y. and Yang, J. (2019) Fixed-Time Cluster Synchronization of Discontinuous Directed Community Networks via Periodically or Aperiodically Switching Control. IEEE Access, 7, 83306-83318.
https://doi.org/10.1038/nnano.2013.46
[11]  Liu, X.Y., Cao, J.D., Yu, W.W. and Song, Q. (2016) Nonsmooth Finite-Time Synchronization of Switched Coupled Neural Networks. IEEE Transactions on Cybernetics, 46, 2360-2371.
https://doi.org/10.1088/0953-8984/22/33/334204
[12]  Wang, Z.X., He, H.B., Jiang, G.-P. and Cao, J.D. (2020) Distributed Tracking in Heterogeneous Networks with Asynchronous Sampled-Data Control. IEEE Transactions on Industrial Informatics, 16, 7381-7391.
https://doi.org/10.1098/rsta.2010.0213
[13]  Yang, D., Li, X.D. and Song, S.J. (2020) Design of State-Dependent Switching Laws for Stability of Switched Stochastic Neural Networks with Time-Delays. IEEE Transactions on Neural Networks & Learning Systems, 31, 1808-1819.
https://doi.org/10.1080/00018732.2011.582251
[14]  Lee, T.C. and Jiang, Z.P. (2008) Uniform Asymptotic Stability of Nonlinear Switched Systems with an Application to Mobile Robots. IEEE Transactions on Automatic Control, 53, 1235-1252.
https://doi.org/10.1103/PhysRevB.91.045414
[15]  Zhou, B., Zheng, W.X. and Duan, G.-R. (2011) Stability and Stabilization of Discrete-Time Periodic Linear Systems with Actuator Saturation. Automatica, 47, 1813-1820.
https://doi.org/10.1063/1.4959880
[16]  Branicky, M.S. (1998) Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems. IEEE Transactions on Automatic Control, 43, 475-482.
https://doi.org/10.1063/1.4978312
[17]  Ding, S.B. and Wang, Z.S. (2020) Event-Triggered Synchronization of Discrete-Time Neural Networks: A Switching Approach. Neural Networks: The Official Journal of the International Neural Network Society, 125, 31-40.
https://doi.org/10.1063/1.5111354
[18]  Zhou, L., Ding, H. and Xiao, X.Q. (2020) Input-to-State Stability of Discrete-Time Switched Nonlinear Systems with Generalized Switching Signals. Applied Mathematics and Computation, 392, Article ID: 125727.
https://doi.org/10.1103/PhysRevB.81.153401
[19]  Huang, Z.G., Xia, J.W., Wang, J., Wang, J. and Shen, H. (2020) Observer-Based Finite-Time Bounded Analysis for Switched Inertial Recurrent Neural Networks under the PDT Switching Law. Physica A, 538, Article ID: 122699.
https://doi.org/10.1016/j.carbon.2009.12.057
[20]  Liu, Y., Chen, F., Yang, B., Wang, X. and Wang, W.M. (2020) Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay. Complexity, 1-25.
https://doi.org/10.1103/PhysRevB.82.125429
[21]  Yang, F., Gu, Z., Cheng, J. and Liu, J. (2019) Event-Driven Finite-Time Control for Continuous-Time Networked Switched Systems under Cyber Attacks. Journal of the Franklin Institute, 357, 11690-11709.
[22]  Ren, H.L., Zong, G.D. and Li, T.S. (2018) Event-Triggered Finite-Time Control for Networked Switched Linear Systems with Asynchronous Switching. IEEE Transactions on Systems, Man & Cybernetics: Systems, 48, 1874-1884.
https://doi.org/10.1038/nnano.2008.67
[23]  Liu, X.K., Shi, X.R. and Li, Y. (2019) Neural Networks-Based Adaptive Finite-Time Control of Switched Nonlinear Systems under Time-Varying Actuator Failures. Advances in Difference Equations, 2019, Article No. 482.
https://doi.org/10.1016/j.physrep.2009.02.003
[24]  Chen, C.Y., Zhu, S., Wang, M., Yang, C.Y. and Zeng, Z.G. (2020) Finite-Time Stabilization and Energy Consumption Estimation for Delayed Neural Networks with Bounded Activation Function. Neural Networks, 131, 163-171.
https://doi.org/10.1063/1.3518979
[25]  Abdurahman, A., Jiang, H.J. and Teng, Z.D. (2015) Finite-Time Synchronization for Memristor-Based Neural Networks with Time-Varying Delays. Neural Networks, 69, 20-28.
https://doi.org/10.1088/1367-2630/13/2/025008
[26]  Li, J.H., Dong, H.L., Wang, Z.D. and Zhang, W.D. (2018) Protocol-Based State Estimation for Delayed Markovian Jumping Neural Networks. Neural Networks, 108, 355-364.
https://doi.org/10.1016/j.carbon.2013.07.088
[27]  Goudreau, M.W. and Giles, C.L. (1995) Using Recurrent Neural Networks to Learn the Structure of Interconnection Networks. Neural Networks, 8, 793-804.
https://doi.org/10.1155/2013/101765

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413