Controllability and stabilization of periodic switched Boolean control networks with application to asynchronous updating

Li, Yalu; Li, Haitao

doi:10.1016/j.nahs.2021.101054

Cited by 13 publications

(3 citation statements)

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“…In [86][87][88][89], stability of switched Boolean networks was discussed. In [59,[90][91][92][93][94], stabilization and control design of switched Boolean networks were investigated. Complete synchronization problem for the drive-response switched Boolean networks under arbitrary switching signals was investigated in [95].…”

Section: Ldss With Switching Structuresmentioning

confidence: 99%

“…Therefore, it is necessary to discuss LDSs under the asynchronous updating rule. In general, a deterministic asynchronous scheme and random asynchronous scheme are two kinds of asynchronous schemes usually considered [93]. Now, we consider the deterministic asynchronous LDSs.…”

Section: Asynchronous Ldssmentioning

confidence: 99%

“…In [153], a new linear approach was proposed to model the dynamics of asynchronous Boolean networks. In [93], the dynamics of deterministic asynchronous BCNs were converted into the form of periodic switching BCNs, and the time-variant state feedback stabilization problem of deterministic asynchronous BCNs was solved. In [154], the asynchronous event-triggered control mechanism was introduced to the set stabilization problem of k-valued logical control networks.…”

Section: Asynchronous Ldssmentioning

confidence: 99%

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Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems

Kong

Sun

2022

Mathematics

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Logical dynamical systems (LDSs) have wide applications in gene regulation, game theory, digital circuits, and so on. In LDSs, phenomena such as impulsive effect, time delays, and asynchronous behavior are not negligible, which generate complex LDSs. This paper presents a detailed survey on models and methods of investigating LDSs. Firstly, some preliminary results on LDSs and semi-tensor product (STP) method are presented. Secondly, some new developments on modeling complex LDSs are summarized, including switched LDSs, probabilistic LDSs, delayed LDSs, LDSs with impulsive effects, asynchronous LDSs, constrained LDSs, and implicit LDSs. Finally, the control design techniques of LDSs are reviewed, including reachable set approach, sampled-data control, event-triggered control, and control Lyapunov function method.

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