Stabilizing Boolean networks by optimal event-triggered feedback control

  title={Stabilizing Boolean networks by optimal event-triggered feedback control},
  author={Qunxi Zhu and Wei Lin},
  journal={Syst. Control. Lett.},

Self-Triggered Scheduling for Boolean Control Networks

Rigorous theoretical analysis is presented to prove that the designed self-triggered control strategy for BCNs is well defined and can make the controlled BCNs be stabilized at the equilibrium point.

Event-Based Robust Synchronization of Boolean Control Networks

  • C. OuyangLulu Li
  • Mathematics
    IEEE Transactions on Circuits and Systems II: Express Briefs
  • 2020
The robust synchronization problem in this brief is converted into the robust set stabilization problem, and an optimal algorithm which realizes the minimum of the event-triggered number is proposed to design state feedback controllers for robust synchronization of BCNs.

Detectability of Boolean Control Networks

In Chap. 4, we discuss observability of Boolean control networks (BCNs). Intuitively, a BCN is observable if one can use an input sequence and the corresponding output sequence to determine the

Output feedback stabilizer design of Boolean networks based on network structure

Analytical investigations on output feedback stabilizer design of Boolean networks (BNs) to achieve global stabilization via the semi-tensor product method are presented and results are shown to be simple and concise, compared with traditional pinning control for BNs.

New developments in control design techniques of logical control networks

This paper presents a detailed survey on new developments in control design techniques of LCNs, including the reachable set approach, the pinning control technique, the control Lyapunov function approach, and the event-triggered control technique.



On Controllability of Delayed Boolean Control Networks

This paper is devoted to studying the trajectory and state controllability of Boolean control networks (BCNs) with time delay, and uses the semi-tensor product of matrices to convert the delayed BCNs into an equivalent algebraic description.

Minimum-Time Control of Boolean Networks

This work develops a BCN model for the genetic switch controlling the lambda phage development upon infection of a bacteria and suggests that this biological switch is designed in a way that guarantees minimal time respon...

Event-Triggered Control for the Disturbance Decoupling Problem of Boolean Control Networks

This paper investigates the disturbance decoupling problem (DDP) of Boolean control networks (BCNs) by event-triggered control using the semi-tensor product of matrices, and proposes methods to solve the DDP of BCNs.

Observability of Boolean control networks

The concept of a reachable set that results in a given set of initial states is proposed, and four additional necessary and sufficient conditions for the observability of BCNs are derived.

An Improved Criterion for Controllability of Boolean Control Networks

By resorting to the semi-tensor product technique and the Warshall algorithm, several improved novel reachability and controllability criteria are obtained for the BCNs through constructing a sequence of rigorous Boolean matrices.

State Feedback Stabilization for Boolean Control Networks

A general control design approach is proposed when global stabilization is feasible via state feedback, and instead of designing the logical form of a stabilizing feedback law directly, it is suggested that its algebraic representation should be constructed and then converted to logical form.