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Article: Switching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable

TitleSwitching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable
Authors
KeywordsAperiodic sampled-data control
Boolean control networks
Unstable subsystem
Discretized Lyapunov function
Dwell time
Issue Date2020
PublisherZhejiang University Press, co-published with Springer. The Journal's web site is located at https://www.springer.com/journal/11714
Citation
Frontiers of Information Technology & Electronic Engineering, 2020, v. 21, p. 260-267 How to Cite?
AbstractWe aim to further study the global stability of Boolean control networks (BCNs) under aperiodic sampled-data control (ASDC). According to our previous work, it is known that a BCN under ASDC can be transformed into a switched Boolean network (SBN), and further global stability of the BCN under ASDC can be obtained by studying the global stability of the transformed SBN. Unfortunately, since the major idea of our previous work is to use stable subsystems to offset the state divergence caused by unstable subsystems, the SBN considered has at least one stable subsystem. The central thought in this paper is that switching behavior also has good stabilization; i.e., the SBN can also be stable with appropriate switching laws designed, even if all subsystems are unstable. This is completely different from that in our previous work. Specifically, for this case, the dwell time (DT) should be limited within a pair of upper and lower bounds. By means of the discretized Lyapunov function and DT, a sufficient condition for global stability is obtained. Finally, the above results are demonstrated by a biological example.
Persistent Identifierhttp://hdl.handle.net/10722/287667
ISSN
2023 Impact Factor: 2.7
2023 SCImago Journal Rankings: 0.700
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorSUN, LJ-
dc.contributor.authorLU, JQ-
dc.contributor.authorChing, WK-
dc.date.accessioned2020-10-05T12:01:28Z-
dc.date.available2020-10-05T12:01:28Z-
dc.date.issued2020-
dc.identifier.citationFrontiers of Information Technology & Electronic Engineering, 2020, v. 21, p. 260-267-
dc.identifier.issn2095-9184-
dc.identifier.urihttp://hdl.handle.net/10722/287667-
dc.description.abstractWe aim to further study the global stability of Boolean control networks (BCNs) under aperiodic sampled-data control (ASDC). According to our previous work, it is known that a BCN under ASDC can be transformed into a switched Boolean network (SBN), and further global stability of the BCN under ASDC can be obtained by studying the global stability of the transformed SBN. Unfortunately, since the major idea of our previous work is to use stable subsystems to offset the state divergence caused by unstable subsystems, the SBN considered has at least one stable subsystem. The central thought in this paper is that switching behavior also has good stabilization; i.e., the SBN can also be stable with appropriate switching laws designed, even if all subsystems are unstable. This is completely different from that in our previous work. Specifically, for this case, the dwell time (DT) should be limited within a pair of upper and lower bounds. By means of the discretized Lyapunov function and DT, a sufficient condition for global stability is obtained. Finally, the above results are demonstrated by a biological example.-
dc.languageeng-
dc.publisherZhejiang University Press, co-published with Springer. The Journal's web site is located at https://www.springer.com/journal/11714-
dc.relation.ispartofFrontiers of Information Technology & Electronic Engineering-
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/[insert DOI]-
dc.subjectAperiodic sampled-data control-
dc.subjectBoolean control networks-
dc.subjectUnstable subsystem-
dc.subjectDiscretized Lyapunov function-
dc.subjectDwell time-
dc.titleSwitching-based stabilization of aperiodic sampled-data Boolean control networks with all subsystems unstable-
dc.typeArticle-
dc.identifier.emailChing, WK: wching@hku.hk-
dc.identifier.authorityChing, WK=rp00679-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1631/FITEE.1900312-
dc.identifier.scopuseid_2-s2.0-85077066953-
dc.identifier.hkuros314746-
dc.identifier.volume21-
dc.identifier.spage260-
dc.identifier.epage267-
dc.identifier.isiWOS:000503666300003-
dc.publisher.placeSwitzerland-
dc.identifier.issnl2095-9184-

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