Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation

Qilong Sun and Haitao Li ()
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Qilong Sun: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Haitao Li: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China

Mathematics, 2022, vol. 10, issue 21, 1-12

Abstract: This paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product method. Based on the equivalence of stabilization between the IBCN and the corresponding BCN, several criteria are proposed for the robust stabilization of IBCNs. Furthermore, when the IBCN is not robustly stabilizable after the function perturbation, an algorithm is presented to modify the control or the impulse-triggered set. Finally, an example is given to verify the obtained results.

Keywords: impulsive Boolean control networks; robust stabilization; function perturbation; semi-tensor product of matrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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