Please solve the following problem, clear show how you arrrive to the final answer 5.2 The target in the harmonic-oscillator problem of §5.3 was the origin. Suppose that it is desired to bring the oscillator to rest, not necessarily at the origin, so the target set is x2 = 0. Find the optimal control and the optimal time for an initial state x₁ = X1, X2 X2 with X2 positive. =

Please solve the following problem, clear show how you arrrive to the final answer 5.2 The target in the harmonic-oscillator problem of §5.3 was the origin. Suppose that it is desired to bring the oscillator to rest, not necessarily at the origin, so the target set is x2 = 0. Find the optimal control and the optimal time for an initial state x₁ = X1, X2 X2 with X2 positive. =