H secure consensus of hidden Markov jump multi-agent systems subject to DoS attacks and disturbance

This study investigates the H-infinity secure consensus issue for Markov jump multi-agent systems with denial-of-service attacks and disturbance. Considering that the mode of the system cannot be directly obtained in the actual situation, a detector is constructed to obtain the mode of the system indirectly with the help of the hidden Markov model. The network communications between agents are undirected, and denial-of-service attacks are encountered randomly and represented by a random variate obeying Bernoulli distribution. The reduced-order decomposed system is obtained by the method of model reduction. On this basis, the Lyapunov stability theory is applied to derive some sufficient conditions to guarantee that the system achieves consensus with a stipulated H-infinity performance index. Finally, a numerical example is employed to verify the validity of the proposed protocol.