Secure Consensus of Stochastic Multi-agent Systems Subject to Deception Attacks via Impulsive Control

Abstract

This article addresses the secure leader-following consensus (SLFC) problem of nonlinear stochastic multi-agent systems, which suffer from randomly occurring uncertainties, stochastic disturbances and deception attacks. As a typical type of deception attacks, randomly occurring stealthy false data-injection (FDI) attacks imply that sensor-to-controller channels are probably injected with false signals by adversaries intending to damage consensus. The malicious attacker's behavior can be measured by the Bernoulli distribution variable. By jointly employing the Lyapunov function, the linear matrix inequality method and the definition of average impulsive interval, several sufficient conditions with less conservative are derived, which means that impulsive control scheme can ensure the achievement of SLFC within a given error bound. Finally, one simple simulation example is reported to verify the reliability and effectiveness of our developed results.