This work is concerned with the fixed-time stability theorem and the fixed-time bipartite flocking with collision avoidance for multi-agent systems. Under the framework of Filippov solution, a new theorem of fixed-time stability is established and a high-precision estimation of settling time is given. As an important application, the fixed-time bipartite flocking protocol of nonlinear multi-agent systems is proposed. Employing this fixed-time stability theorem and the structurally balanced signed graph theorem, the bipartite flocking without co...
