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On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances

Author

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  • Yuanyuan Li
  • Jie Zhong
  • Jianquan Lu
  • Zhen Wang
  • Fuad E. Alssadi

Abstract

This paper investigates the robust synchronization of drive-response Boolean control networks (BCNs) with disturbances via semi-tensor product of matrices. Firstly, the definition of robust synchronization is presented for the drive-response BCNs with disturbances. Then, based on the algebraic state space representation of drive-response BCNs, the robustly reachable states/sets are presented to investigate robust synchronization of disturbed BCNs. According to the set of robustly reachable states, some necessary and sufficient criteria are obtained for robust synchronization of drive-response BCNs with disturbances under a given state feedback controller. Finally, an illustrative example is presented to demonstrate the obtained theoretical results.

Suggested Citation

  • Yuanyuan Li & Jie Zhong & Jianquan Lu & Zhen Wang & Fuad E. Alssadi, 2018. "On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, August.
    • Handle: RePEc:hin:jnlmpe:1737685
    DOI: 10.1155/2018/1737685
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    Cited by:

    1. Jian Zhu & Da Huang & Haijun Jiang & Jicheng Bian & Zhiyong Yu, 2021. "Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks," Mathematics, MDPI, vol. 9(21), pages 1-14, October.

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