Secure Asynchronous Impulsive Control of Nonlinear Multiagent Systems Under Deception Attacks

This article investigates the secure control problem of multiagent systems (MASs) with Lipschitz nonlinear dynamics under the asynchronous impulsive control framework. Random substitution deception attacks are modeled by Bernoulli variables and are assumed to occur in the controller or controller-to-actuator channel. By regarding the deception attack signal as a bounded external disturbance, the secure control problem is converted into the exponential input-to-state stability (EISS) problem of the derived consensus error system. A multisegmented Lyapunov function is designed to characterize the asynchronous impulsive dynamics. Under the impulse dwell-time condition, sufficient conditions are derived to guarantee EISS in mean square for MASs. Simulation results are provided to validate the proposed method and illustrate the relationship between the consensus target value and the network topology.