Control for spatial synchronized parallel formation of self-propelled particles
自推进粒子群的空间同步平行编队控制

Parallel formation is an important issue in the cooperative control for collective motion; its spatial synchronization collective motion along a certain direction in a space also vital. Based on the coupled oscillator theory, a model for all-to-all self-propelled particles with variable speed is proposed, and a control scheme to stabilize the model of the spatial synchronized parallel formation is developed. The space information is obtained for the control scheme to alter the speeds of self-propelled particles for achieving the spatial synchronized parallel formation along the real or imaginary axes. The convergence of the synchronization action is proved. Numerical simulations for spatial synchronized parallel formation of particles are performed.