摘要：AbstractIn this paper, we consider optimal trajectories based on the sparsity-in-time of control input. This optimization constrains the state partially on specific time instants while minimizing the L0norm of control. The problem formulation is closely related with state estimation when the system is corrupted by sparse noise. For the analysis, we describe the relationship between the optimal trajectories and Lpoptimal control with 0 < p ≤ 1. Based on the relation, we propose two numerical optimization algorithms to obtain the trajectories. A numerical example shows the effectiveness of the proposed method.
