Fixed-time group consensus for multi-agent systems with nonlinear dynamics and uncertainties

In this study, the author studies fixed-time group consensus problem in networks of dynamic agents with intrinsic nonlinear dynamics and bounded uncertainties. Three types of distributed control protocols are proposed to achieve fixed-time group consensus when the subgroups are connected and have inter-group common influence. By using Lyapunov theory, algebraic graph theory, and fixed-time stability, some conditions are derived to select the controller gains to ensure the convergence in a prescribed time regardless of the initial conditions. Numerical examples are worked out to illustrate the effectiveness of our theoretical results.