New network-based leader-following consensus criteria for nonlinear multi-agent systems
Jin Zhang, Yanbo Gao · 2019
This paper concerns with the network-based leader-following consensus problem for nonlinear multi-agent systems. First, by thinking of network-induced delay and a consensus control protocol, a nonlinear system with sampled data is modeled. Then, a novel Lyapunov-Krasovskii functional is designed to develop the consensus criterion by applying the Wirtinger-based inequality, the method of reciprocally convex combination and the free-weighting matrix technique. Finally, an example is given to verify the theoretical results.