Using the algebraic state space representation method, this paper investigates the stabilization and set stabilization of delayed Boolean control networks (DBCNs). Firstly, the stabilization problem of DBCNs is formulated, which is proved to be equivalent to the trajectory stabilization of DBCNs. Secondly, based on the algebraic form of DBCNs, a necessary and sufficient condition is presented for the trajectory stabilization of DBCNs, which can also solve the stabilization problem. A constructive procedure is proposed for the design of state feedback stabilizers of DBCNs. Thirdly, the set stabilization problem and partial stabilization problem of DBCNs are studied, and several necessary and sufficient conditions are presented. Finally, the obtained results are applied to the strategy consensus of networked evolutionary games with memories.

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stabilization and set stabilization of delayed boolean control networks partial stabilization problem state feedback stabilizers of dbcns constructive procedure strategy consensus of networked evolutionary games algebraic state space representation method memories

Haitao Li, Xueying Ding, Yansheng Liu,Yating Zheng,.Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization. 354 (17),.

Haitao Li, et al."Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization" 354

Haitao Li, Xueying Ding, Yansheng Liu,Yating Zheng,"Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization"