Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks

Qiliang Zhang, Jun-e Feng, Biao Wang and Peihe Wang

Applied Mathematics and Computation, 2020, vol. 383, issue C

Abstract: In this paper, the set stabilization problem of switched Boolean networks is reinvestigated. An event-triggered mechanism is formulated in the process of designing time-varying set stabilization state feedback controller. First, compared with the existing results, an improved algorithm which can effectively reduce computational complexity of calculating the maximum control invariant set is given. Second, using Warshall algorithm, an explicit criterion is derived to check whether a switched Boolean network satisfies set stabilization. Third, a systematic procedure is devised to design event-triggered set stabilization state feedback controller of switched Boolean networks. Then, a method is proposed to obtain all possible event-triggered state feedback controllers for set stabilization of switched Boolean networks. Finally, two examples are shown to demonstrate the effectiveness of presented results.

Keywords: Semi-tensor product of matrices; Set stabilization; Switched Boolean networks; State feedback control (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303362

DOI: 10.1016/j.amc.2020.125372

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