International Journal of Control, Automation and Systems 2021; 19(5): 1819-1827
Published online March 30, 2021
https://doi.org/10.1007/s12555-020-0204-4
© The International Journal of Control, Automation, and Systems
This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.
Keywords Boolean network, sampled-data control, semi-tensor product of matrices, stabilization, time delay.
International Journal of Control, Automation and Systems 2021; 19(5): 1819-1827
Published online May 1, 2021 https://doi.org/10.1007/s12555-020-0204-4
Copyright © The International Journal of Control, Automation, and Systems.
Xiangshan Kong and Haitao Li*
Shandong Normal University
This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.
Keywords: Boolean network, sampled-data control, semi-tensor product of matrices, stabilization, time delay.
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