([51, p. 132–133]) Let the initial value problem x(t) ˙ = u(t) almost everywhere on [0, 1], x(0) = 1 be given. Determine an optimal control u ∈ L∞([0, 1]) for which the objective functional J : L∞([0,...

([51, p. 132–133]) Let the initial value problem

x(t) ˙ = u(t) almost everywhere on [0, 1],

x(0) = 1

be given. Determine an optimal control u ∈ L∞([0, 1]) for which the

objective functional J : L∞([0, 1]) → R with

becomes minimal.