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Self-Triggered Set Stabilization of Boolean Control Networks and Its Applications
Rong Zhao; Jun-e Feng; Dawei Zhang
Source PublicationIEEE/CAA Journal of Automatica Sinica
AbstractSet stabilization is one of the essential problems in engineering systems, and self-triggered control (STC) can save the storage space for interactive information, and can be successfully applied in networked control systems with limited communication resources. In this study, the set stabilization problem and STC design of Boolean control networks are investigated via the semi-tensor product technique. On the one hand, the largest control invariant subset is calculated in terms of the strongly connected components of the state transition graph, by which a graph-theoretical condition for set stabilization is derived. On the other hand, a characteristic function is exploited to determine the triggering mechanism and feasible controls. Based on this, the minimum-time and minimum-triggering open-loop, state-feedback and output-feedback STCs for set stabilization are designed, respectively. As classic applications of self-triggered set stabilization, self-triggered synchronization, self-triggered output tracking and self-triggered output regulation are discussed as well. Additionally, several practical examples are given to illustrate the effectiveness of theoretical results.
KeywordBoolean control networks (BCNs) output regulation self-triggered control semi-tensor product of matrices set stabilization synchronization
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Document Type期刊论文
Collection学术期刊_IEEE/CAA Journal of Automatica Sinica
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GB/T 7714
Rong Zhao,Jun-e Feng,Dawei Zhang. Self-Triggered Set Stabilization of Boolean Control Networks and Its Applications[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(7):1631-1642.
APA Rong Zhao,Jun-e Feng,&Dawei Zhang.(2024).Self-Triggered Set Stabilization of Boolean Control Networks and Its Applications.IEEE/CAA Journal of Automatica Sinica,11(7),1631-1642.
MLA Rong Zhao,et al."Self-Triggered Set Stabilization of Boolean Control Networks and Its Applications".IEEE/CAA Journal of Automatica Sinica 11.7(2024):1631-1642.
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