Secure Consensus Control for Positive Semi-Markovian Jumping Multi-Agent Systems With Random Packet Losses

This paper addresses leader-following secure consensus control problem for multi-agent systems subject to positive constraints and random packet losses. Firstly, a random packet loss model is established by employing a Bernoulli distribution. By using the copositive Lyapunov function and linear programming technique, the positivity and positive consensus of the multi-agent system are guaranteed. Furthermore, the randomly occurring deception attack is considered, and then the distributed control protocol is proposed to ensure the positivity and positive consensus of the closed system. Finally, a simulation example is given to verify the effectiveness of the developed controller design approach.