Output Tracking of Switched Boolean Networks via Self-Triggered Control

This article investigates the output tracking problem of switched Boolean networks using self-triggered control. First, by virtue of the constructed auxiliary system, two necessary and sufficient conditions for output tracking are provided. Then, a definition for the Lyapunov function of output tracking is proposed. Based on these, two criteria for output tracking are derived from the perspective of the Lyapunov function, and a procedure is presented for calculating the Lyapunov function. Furthermore, a self-triggered control mechanism for output tracking is devised. By utilizing the established Lyapunov function, a design method for the self-triggered control of output tracking is provided. Finally, a biological example, known as metastatic melanoma, verifies that the proposed self-triggered control mechanism can effectively reduce the frequencies of control updates.