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, while 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
the paper 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
also are verified by numerical examples.
