Fixed-time leader-following flocking and collision avoidance of multi-agent systems with unknown dynamics

The fixed-time flocking of multi-agent systems with a virtual leader is investigated in this paper. motion dynamics the agents are assumed to be unknown and only satisfy boundedness, which does not need modelled by Lipschitz condition. To achieve collision avoidance for all fixed time, control protocol high-dimensional space developed using graph theory theoretical properties differential equations. Moreover, upper bound settling time depending on topology network estimated. Numerical examples used verify results, show that proposed method provides an applicable nonlinear dynamic systems.