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The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks

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  • Ze Tang
  • Jianwen Feng

Abstract

We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay‐independent and time delay‐dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov‐Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories.

Suggested Citation

  • Ze Tang & Jianwen Feng, 2012. "The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks," Advances in Mathematical Physics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlamp:v:2012:y:2012:i:1:n:309289
    DOI: 10.1155/2012/309289
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    References listed on IDEAS

    as
    1. Wang, Lei & Dai, Hua-ping & Sun, You-xian, 2007. "Random pseudofractal networks with competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 763-772.
    2. Cao, Jinde & Wang, Zidong & Sun, Yonghui, 2007. "Synchronization in an array of linearly stochastically coupled networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 718-728.
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