Synchronization for Semi-Markovian Jumping Reaction-Diffusion Complex Dynamical Networks: A Space-Time Sampled-Data Control Scheme

Xiaona Song, Renzhi Zhang, Choon Ki Ahn, Shuai Song

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


This paper focuses on synchronization for Complex Dynamic Networks (CDNs) subject to semi-Markovian jumping topologies. Two different models (PDE- and ODE-based models) are proposed and investigated separately. First, to avoid large control costs, a space-time sampled-data controller is introduced for the system under consideration to conserve more communication resources than a normal time sampled-data controller. Second, a two-sided looped-functional that is superior to the traditional ones is constructed to capture more state information in a sampling interval. Further, to reduce the conservatism of the results, the Bessel-Legendre inequality is used, and several sufficient synchronization conditions are established for different CDN models with less conservatism. Finally, examples of some applications and comparative studies are provided to illustrate the effectiveness and superiority of the theoretical results.

Original languageEnglish
Pages (from-to)2684-2696
Number of pages13
JournalIEEE Transactions on Network Science and Engineering
Issue number4
Publication statusPublished - 2022

Bibliographical note

Funding Information:
The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081, in part by the Natural Science Fund for Excellent Young Scholars of Henan Provinceunder Grant 202300410127, and in part by the Key Scientific Research Projects of Higher Education Institutions in Henan Province under Grant 22A413001. The work of Choon Ki Ahn was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449.

Publisher Copyright:
© 2013 IEEE.


  • exponential stability
  • Reaction-diffusion complex dynamical networks
  • Sampled-data synchronization
  • semi-Markov jump systems
  • two-sided looped-functional

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Networks and Communications


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