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Stability and stabilization of Boolean networks with impulsive effects
Authors:Fangfei LiJitao Sun
Affiliation:
  • Department of Mathematics, Tongji University, Shanghai, China
  • Abstract:This paper investigates the stability and stabilization of Boolean networks with impulsive effects. After giving a survey on semi-tensor product of matrices, we convert a Boolean network with impulsive effects into impulsive discrete-time dynamics. Then, some necessary and sufficient conditions are given for the stability and stabilization of Boolean networks with impulsive effects. Finally, examples are provided to illustrate the efficiency of the obtained results.
    Keywords:Boolean networks   Impulsive effects   Systems biology   Stability   Stabilization   Semi-tensor product of matrices
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