Monotone decreasing LKF method for secure consensus of second-order mass with delay and switching topology

This letter investigates secure global asymptotic consensus (SGAC) with non-weighted L2 gain of second-order multi-agent systems (MASs) under deception attacks by designing time-delayed state feedback control with switching topology. Compared with the existing methods in which the Lyapunov-Krasovskii functional (LKF) has to jump high at switching instants, the most important breakthrough is that a discretized LKF is designed such that it is monotone decreasing at switching instants, which not only can obtain low conservative results but also is convenient to study consensus with non-weighted L2 gain without any additional inequality transformation. The Results are universal since they can be applied with no difficulty to any other switched time-delay systems. A numerical simulation illustrates the less conservative SGAC.(c) 2022 Elsevier B.V. All rights reserved.