Cyber secure consensus of discrete-time fractional-order multi-agent systems with distributed delayed control against attacks

In this paper, the leader-following cyber secure consensus problem for discrete-time fractional-order multi-agent systems (DFOMASs) in the present of denial-of-service attacks by means of distributed delayed control strategy is investigated. As MASs work in networked environments, their security control becomes critically desirable in response to various cyberattacks, such as denial of service (DoS). The resulting topologies caused by DoS attacks may destabilize the consensus performance of MASs. Especially under connectivity-broken attacks, the connectivity between agents is destroyed. To deal with these difficulties, a novel defense strategy consisting of distributed delayed consensus control is proposed. To guarantee cyber secure consensus of the addressed systems to determine the stability of the resulting error system, sufficient criteria including the condition in terms of LMI are derived on the basis of the Caputo fractional difference operator, by employing the Lyapunov function approach, algebraic graph theory and average dwell time (ADT). At last, the effectiveness of the obtained results is demonstrated by performing simulations on the proposed systems.