Almost Sure Resilient Consensus Under Stochastic Interaction:Links Failure and Noisy Channels

The resilient consensus problem over a class of discrete-time linear multiagent systems is addressed. Because of external cyber-attacks, some agents are assumed to be malicious and not following a desired cooperative behavior. Thus, the objective consists in designing a control strategy for the healthy agents to reach consensus upon their state vectors, whereas due to interaction among the agents, the malicious agents try to prevent them to achieve consensus. Although this problem has been investigated by some researchers, under the existing approaches in the literature, achieving consensus is only guaranteed when the information exchange among the agents is deterministic. Based on this motivation, the main contribution of this article is on almost sure resilient consensus control of a network of healthy agents in the presence of stochastic links failure and communication noises. We design a discrete-time protocol for the set of the healthy agents, and we show that under some probabilistic conditions on interaction among the agents, achieving almost sure consensus among the healthy agents can be guaranteed. The results are also verified by numerical examples.

Automated summary

This research addresses the resilient consensus problem over a class of discrete-time linear multiagent systems, focusing on designing a control strategy for healthy agents to reach consensus despite malicious agents' attempts to prevent it. By developing a discrete-time protocol and imposing probabilistic conditions on interactions among agents, the study demonstrates almost sure consensus among healthy agents in the presence of stochastic links failure and communication noises.