Asynchronous Event-Based Set Stabilization of Logical Control Networks and its Applications in Finite-Field Networks

Ouyang, Chen; Li, Lulu; Li, Yuanyuan; Lu, Jianquan

doi:10.1109/tcns.2021.3089133

Cited by 6 publications

(2 citation statements)

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“…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%

“…Recently, by virtue of an event-triggered control approach, several excellent results on LDSs have been proposed, including synchronization [98,178], stabilization [205][206][207], set stabilization [154,208], disturbance decoupling [209], output regulation [210] and so on [211], and the corresponding event-triggered mechanisms and techniques for designing state feedback controllers were proposed.…”

Section: Event-triggered Controlmentioning

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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Section: Asynchronous Ldssmentioning

confidence: 99%