Pth moment asymptotic stability for stochastic complex networked control systems with Lévy noise

In this paper, the pth moment asymptotic stability (PMAS) problem is investigated for stochastic complex networked control systems driven by Lévy noise (SCNCSL). Based on the node systems of SCNCSL, we construct a new Lyapunov function. Several sufficient criteria are obtained to ensure the PMAS of SCNCSL. These criteria are closely related to each node system and coupling form function of SCNCSL. Stability criteria for a class of SCNCSL with linear functions are also provided. In addition, we provide a specific system model of SCNCSL and obtain its numerical stability conditions. Ultimately, three numerical examples are put forward to show the availability of the theoretical results.