Adaptive synchronization of multi-agent systems with unknown nonlinear dynamics

In this paper, we consider the adaptive synchronization problem for multi-agents systems with unknown nonlinear dynamics. The topologies of the networks are switching. A novel adaptive synchronization algorithm is proposed by using linear parameterizations of unknown nonlinear dynamics of all agents. By stability analysis and parameter convergence analysis of the proposed algorithm, adaptive synchronization can be realized based on neighboring graphs. The stability analysis is based on algebraic graph theory and Lyapunov theory, the PE condition plays a key role in parameter convergence analysis. Example is given to validate the theoretical results.