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Stability and stabilization of Boolean networks with impulsive effects. (English) Zbl 1250.93078
Summary: 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.

MSC:
93C55 Discrete-time control/observation systems
93D09 Robust stability
92C42 Systems biology, networks
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