Secure consensus tracking of multi-agent systems with network-induced delays under deception attacks via guaranteed performance impulsive control

This paper addresses the secure impulsive consensus tracking problem of Lipschitz nonlinear multi-agent systems in the presence of network-induced delays and discrete-time deception attacks in the controller-to-actuator channels. The information exchanges among agents are assumed to occur only at discrete instants satisfying a ranged dwell-time condition, and the occurrences of the deception attacks are governed by a set of Bernoulli processes. The tracking performance is characterized by the mean-square exponential input-state stability (MSEISS) of the tracking error system with delayed impulses and bounded disturbances, in which the MSEISS-gain is used to quantify the capacity of the distributed impulsive controllers against deception attacks. By modelling the impulse delays as the impulse intervals of the augmented tracking error system, the effect of impulse delays on MSEISS is captured by a switching-based discretized discontinuous weighted Lyapunov function. An impulse-delay-dependent criterion for the synthesis of a distributed impulsive controller is obtained. Two illustrated examples are given to illustrate the proposed approach.