IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v83y2016icp147-157.html
   My bibliography  Save this article

Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations

Author

Listed:
  • Ye, Zhiyong
  • Ji, Huihui
  • Zhang, He

Abstract

This paper is concerned with the passivity problem for a class of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations. Some sufficient conditions are obtained to guarantee that the complex dynamic networks with multiple time-varying delays and stochastic perturbations under Markovian switching are passive in the sense of expectation. The appropriate stochastic Lyapunov–Krasovskii functional was constructed, and stochastic theory, linear matrix inequality technique and properties of Weiner process were employed to achieve the results. Finally, some simulation examples are presented to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:147-157
    DOI: 10.1016/j.chaos.2015.11.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077915003926
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2015.11.027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Park, Ju H., 2007. "Further results on passivity analysis of delayed cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1546-1551.
    2. Shun-Yan Ren & Yue-Hui Zhao, 2014. "Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, September.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    4. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    5. Cui, Bao Tong & Hua, Min Gang, 2006. "Robust passive control for uncertain discrete-time systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 331-341.
    6. Liu, Xingwen, 2007. "Passivity analysis of uncertain fuzzy delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 833-838.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hanmei Wang & Jun Zhao, 2018. "Passivity and control of switched discrete-time nonlinear systems using linearisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 68-83, January.
    2. Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Li, Lijie & Feng, Yu & Liu, Yongjian, 2016. "Dynamics of the stochastic Lorenz-Haken system," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 670-678.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Laurienti, Paul J. & Joyce, Karen E. & Telesford, Qawi K. & Burdette, Jonathan H. & Hayasaka, Satoru, 2011. "Universal fractal scaling of self-organized networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3608-3613.
    2. L. Jarina Banu & P. Balasubramaniam, 2014. "Synchronisation of discrete-time complex networks with randomly occurring uncertainties, nonlinearities and time-delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1427-1450, July.
    3. Chen, Qinghua & Shi, Dinghua, 2004. "The modeling of scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 240-248.
    4. Santiago, A. & Benito, R.M., 2008. "Connectivity degrees in the threshold preferential attachment model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(10), pages 2365-2376.
    5. Chen, Qinghua & Chen, Shenghui, 2007. "A highly clustered scale-free network evolved by random walking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 773-781.
    6. Ying Duan & Xiuwen Fu & Wenfeng Li & Yu Zhang & Giancarlo Fortino, 2017. "Evolution of Scale-Free Wireless Sensor Networks with Feature of Small-World Networks," Complexity, Hindawi, vol. 2017, pages 1-15, July.
    7. P. Balasubramaniam & G. Nagamani, 2011. "Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time-Varying Delays and Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 197-215, April.
    8. Ikeda, N., 2007. "Network formed by traces of random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 701-713.
    9. Santiago, A. & Benito, R.M., 2009. "Robustness of heterogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2234-2242.
    10. Liu, Tao & Dimirovski, Georgi M. & Zhao, Jun, 2008. "Exponential synchronization of complex delayed dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 643-652.
    11. Eocman Lee & Jeho Lee & Jongseok Lee, 2006. "Reconsideration of the Winner-Take-All Hypothesis: Complex Networks and Local Bias," Management Science, INFORMS, vol. 52(12), pages 1838-1848, December.
    12. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    13. Liu, Z.X. & Chen, Z.Q. & Yuan, Z.Z., 2007. "Pinning control of weighted general complex dynamical networks with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 345-354.
    14. Wen, Guanghui & Duan, Zhisheng & Chen, Guanrong & Geng, Xianmin, 2011. "A weighted local-world evolving network model with aging nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4012-4026.
    15. Daniel Straulino & Mattie Landman & Neave O'Clery, 2020. "A bi-directional approach to comparing the modular structure of networks," Papers 2010.06568, arXiv.org.
    16. Reppas, Andreas I. & Spiliotis, Konstantinos & Siettos, Constantinos I., 2015. "Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 186-196.
    17. Ni, Shunjiang & Weng, Wenguo & Zhang, Hui, 2011. "Modeling the effects of social impact on epidemic spreading in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4528-4534.
    18. Chai, Yi & Chen, Liping & Wu, Ranchao & Sun, Jian, 2012. "Adaptive pinning synchronization in fractional-order complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5746-5758.
    19. Zhou, Bin & He, Zhe & Wang, Nianxin & Wang, Bing-Hong, 2016. "A method of characterizing network topology based on the breadth-first search tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 682-686.
    20. Chen, Chen & Lu, Jun-an & Wu, Xiaoqun, 2010. "Complex networks constructed from irrational number sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2654-2662.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:147-157. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.