Cluster synchronization control for coupled genetic oscillator networks under denial-of-service attacks: Pinning partial impulsive strategy.

This paper focuses on the security cluster synchronization (CS) of coupled genetic oscillator networks (GONs) with parameters mismatch under denial-of-service (DoS) attacks. Firstly, a model of DoS attacks on the control channel of GONs is established. Then, in order to achieve secure CS of GONs under DoS attacks, a pinning partial impulsive control (PPIC) strategy is proposed for the first time. Compared with the existing pinning impulsive control and partial impulsive control, the PPIC control method only controls part of the molecules of part of the genetic oscillators, so it has better performance in saving control cost. Moreover, we design an algorithm to obtain sufficient conditions for secure CS and the DoS attacks duration ratio that the system can tolerate. In addition, when the system is immune to DoS attacks, it can still achieve CS under PPIC. Finally, two numerical examples based on MATLAB software are presented to demonstrate the effectiveness of the results. The secure synchronization region is obtained, and the convergence efficiency of error systems under PPIC and pinning impulsive control is compared in the simulation. • Compared with the existing results, this article considers security cluster synchronization of genetic oscillator networks under DoS attacks and the DoS attacks duration ratio that the system can tolerate is also obtained, which is more practical. In addition, this article also considers the parameters mismatch and nonlinear coupling of the system, which is more complex to study. • The pinning partial impulsive control (PPIC) strategy is proposed for the first time in this paper, which combines the pinning impulsive control and the partial impulsive control, and can further reduce the control cost of the system. The convergence efficiency of error systems under PPIC and pinning impulsive control is compared in the simulation. • A new algorithm for achieving secure security cluster synchronization of genetic oscillator networks under DoS attacks is designed. On the premise of realizing secure cluster synchronization, the relationship between the DoS attacks duration ratio, the average impulsive interval, the impulsive strength and the proportion of the controlled molecules is obtained, and the secure synchronization region is given in the simulation. [ABSTRACT FROM AUTHOR]