Self-triggered scheduling for the stabilization of impulsive Boolean control networks

• Published in: Communications in nonlinear science & numerical simulation 2023-05, Vol.119, p.107088, Article 107088
• Main Authors: Li, Bowen, Liu, Xiaoxu, Zhong, Jie, Li, Dehao, Peng, Tao, Lin, Lin
• Format: Article
• Language: English
• Subjects: Hybrid model; Impulsive Boolean control networks; Lyapunov function; Self-triggered control; Stabilization
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2023.107088

This paper investigates the self-triggered control scheduling in order to stabilize impulsive Boolean control networks (IBCNs) towards the desired state. Compared with the event-triggered control strategy, self-triggered control scheduling has the ability to determine the next update time of feedback controller in advance by resorting to network states and control input at the current sampled time. Moreover, by establishing the Lyapunov theory for IBCNs, two necessary and sufficient conditions are accordingly derived for the global stabilization of IBCNs in the hybrid domain and in the time domain. Subsequently, we design a flexible self-triggered control scheme with the aim of stabilizing IBCNs to a pre-assigned state in the time domain and in the hybrid domain, respectively. Finally, we apply this control strategy in a biological example to demonstrate the feasibility of theoretical results. •Lyapunov stability theory of IBCNs is developed, respectively, from the hybrid domain and the time domain.•Self-triggered scheduling is developed for IBCNs based on the above stabilization condition.•The obtained results are applicable to sampled-data feedback stabilization and event-triggered feedback stabilization.