“…Imposing only h (p) (x, u, t) ≤ 0 whenever h(x, t) = 0 does not prevent the trajectory from violating h(x, t) ≤ 0 because it cannot guarantee that h (q) (x, t) ≤ 0 for q = 1, · · · , p−1. From this fact, tangency conditions, Ψ = [h (0) , h (1) , · · · , h (p−1) ] T = 0, must be added at the entry time [25]. Because the tangency conditions form interior-point constraints, the necessary optimality conditions are…”