Optimal Trajectories and State Estimation Based on Sparsity-in-Time

Abstract In 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 L 0 norm 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 L p optimal control with 0