IJCAS

This paper investigates the consensus problem of continuous-time leader-following nonlinear multi-agent systems with time-varying communication delay via reliable control. The parameter uncertainty is assumed to be bounded in given compact sets. With certain assumptions on the dynamic nonlinearity and underlying topology, the sufficient conditions are derived in terms of linear matrix inequality (LMI) by using a suitable Lyapunov- Krasovskii functional (LKF). It is ensure that the leader-following consensus can be achieved under the proposed reliable control scheme. Finally, numerical simulation results are presented to demonstrate the theoretical results."

Keywords: Communication delay, leader-following consensus, linear matrix inequality, multi-agent systems, reliable control.