An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks

This study provides an asymmetric Lyapunov–Krasovskii functional (LKF) to address the leader-following consensus of multi-agent systems (MASs) subject to deception attacks. To reduce unwanted signal transmissions between agents, we employ an event-triggering scheme. Also, a stochastic variable following a Bernoulli distribution is used to describe whether the communication among agents are affected by deception attack signals. A connected interaction graph is presented to describe the flow of information among neighboring agents. The considered problem is first modified into a stabilization problem by using the properties of algebraic graph theory. Then, we design a novel asymmetric LKF to show the desired stability conditions in the form of linear matrix inequalities (LMIs), which lead us the consensus of the chosen MAS. The efficacy of the obtained results is validated via illustrative examples.