Unbounded delayed impulsive control for the stability of stochastic complex networks with unbounded time delays under cyber attacks

In this paper, we investigate the stability of delayed impulsive control for stochastic complex networks (SCNs) with unbounded delays under cyber attacks. This paper considers the issue of unbounded delays in complex networks, assuming that the system may be subjected to deception attacks. By integrating the Lyapunov-Razuminkhin method with graph theory, several criteria for achieving p th-moment exponentially stable of the system are derived through the construction of delay impulsive control. Notably, our approach permits the delay impulsive control to be unbounded. Finally, we consider a single-link robot arms systems and some numerical simulations are presented to verify the validity of our results.