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

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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.
Funding Information
  • National Natural Science Foundation of China (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • National Natural Science Foundation of China (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • Natural Science Foundation of Jiangsu Province (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • China Postdoctoral Science Foundation (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • China Postdoctoral Science Foundation (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • Jiangsu Province Six Talent Peaks Project (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)
  • Fundamental Research Funds for the Central Universities (61573102, 11671361, BK20170019, 2014M560377, 2015T80483, 2015-ZNDW-002)

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