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Stabilization of Boolean control networks with state-triggered impulses

Stabilization of Boolean control networks with state-triggered impulses

作     者:Rongpei ZHOU Yuqian GUO Xinzhi LIU Weihua GUI Rongpei ZHOU;Yuqian GUO;Xinzhi LIU;Weihua GUI

作者机构:School of Automation Central South University Department of Applied Mathematics University of Waterloo 

出 版 物:《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期:2022年第65卷第3期

页      面:123-137页

核心收录:

学科分类:0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基  金:supported by National Natural Science Foundation of China (Grant Nos. 61873284,61321003) NSERC Canada 

主  题:Boolean control networks set stabilization state-triggered impulses hybrid-index model semi-tensor product of matrices 

摘      要:Previously, impulses were used to model abrupt changes in dynamic biological systems. This paper introduces a hybrid-index model that can characterize instantaneity of the impulsive behavior more effectively, compared with the existing impulsive Boolean network models. Using the hybrid-index model,we investigate the set stabilization of Boolean control networks with state-triggered impulses in the hybriddomain and the time-domain. We establish necessary and sufficient conditions for set stabilizability in the hybrid and time domains, using the methods of k-domain and quotient mapping, respectively. Further, we obtain algorithms for constructing all hybrid-optimal and time-optimal set stabilizers by partitioning the state space into layers. The relationships between different set stabilizabilities are summarized. In addition,we have shared two examples to demonstrate the main results.

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