Switching-triggered control for multiagent systems with semi-MSTs under deception attacks

This paper investigates the impulsive consensus control for nonlinear multiagent systems (MASs) with semi-Markov switching topologies (semi-MSTs) under deception attacks. A novel switching-triggered impulsive control scheme is proposed, which creatively uses topology switching as an event to drive impulsive control. This method decouples the execution of impulsive control from conventional time-triggered or even-triggered approaches by introducing topology switching as the primary determinant of control updates, thereby enabling full utilization of topological information. The network topology condition for achieving impulsive consensus of MASs with semi-MSTs under this scheme can be relaxed to only require that the union of all switching subtopologies contains a spanning tree. Furthermore, deception attacks occurring in communication channels are considered, which can cause incorrect state information transmission. The random variables describing whether deception attacks occur obey Bernoulli distribution. Sufficient conditions for realizing secure impulsive consensus control of MASs with semi-MSTs under deception attacks and the upper bound on the mean square error between the leader and the followers are given. Finally, an example is presented to validate the effectiveness of the main results.