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Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time‐Varying Coupling Delays Using Sampled Data

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  • Jian-An Wang

Abstract

The sampled‐data synchronization problem for complex networks with random coupling strengths, probabilistic time‐varying coupling delay, and distributed delay (mixed delays) is investigated. The sampling period is assumed to be time varying and bounded. By using the properties of random variables and input delay approach, new synchronization error dynamics are constructed. Based on the delay decomposition method and reciprocally convex approach, a delay‐dependent mean square synchronization condition is established in terms of linear matrix inequalities (LMIs). According to the proposed condition, an explicit expression for a set of desired sampled‐data controllers can be achieved by solving LMIs. Numerical examples are given to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Jian-An Wang, 2014. "Synchronization of Complex Networks with Random Coupling Strengths and Mixed Probabilistic Time‐Varying Coupling Delays Using Sampled Data," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:845304
    DOI: 10.1155/2014/845304
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    References listed on IDEAS

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    1. Xinsong Yang & Shuang Ai & Tingting Su & Ancheng Chang, 2013. "Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, March.
    2. Xinsong Yang & Shuang Ai & Tingting Su & Ancheng Chang, 2013. "Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Jian-An Wang, 2014. "Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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