Resilient consensus of high-order networks against collusive attacks

This paper investigates the resilient consensus problem of high-order networks under malicious attacks. The main difficulty lies in the collusion among attacks against the attack detection and isolation. To overcome such difficulty, a novel attack isolation strategy is developed, based on which, a control algorithm is provided to achieve resilient consensus. A new notion of (r,s)-isolability is introduced to present sufficient conditions for attack isolation. Finally, the effectiveness of the proposed approach is demonstrated by simulation studies.