摘要We investigate the third-order leader-following consensus problem of nonlinear multi-agent systems in undirected network topologies. Based on graph theory and Lyapunov stability theory, the adaptive control method is employed to achieve leader-following consensus in an undirected network of agents with nonlinear third-order dynamics against the perturbations. Simulation examples validate the correctness of the results and show that the control gains have a great influence on the convergence performance of errors for a short time.
Abstract：We investigate the third-order leader-following consensus problem of nonlinear multi-agent systems in undirected network topologies. Based on graph theory and Lyapunov stability theory, the adaptive control method is employed to achieve leader-following consensus in an undirected network of agents with nonlinear third-order dynamics against the perturbations. Simulation examples validate the correctness of the results and show that the control gains have a great influence on the convergence performance of errors for a short time.
SUN Mei**, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations[J]. 中国物理快报, 2012, 29(2): 20503-020503.
SUN Mei, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations. Chin. Phys. Lett., 2012, 29(2): 20503-020503.
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