Stability and stabilization of Boolean networks with impulsive effects |
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Authors: | Fangfei LiJitao Sun |
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Affiliation: | Department of Mathematics, Tongji University, Shanghai, China |
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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. |
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Keywords: | Boolean networks Impulsive effects Systems biology Stability Stabilization Semi-tensor product of matrices |
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