Find the optimal state and optimal control based on minimizing the performance index

Question:

Find the optimal state and optimal control based on minimizing the performance index 𝐽=∫ (𝑥(𝑡) − 1/2 (𝑢(𝑡)^2) ) 𝑑𝑡 , 0 ≤ 𝑡 ≤ 1 subject to 𝑢(𝑡) = 𝑥̇(𝑡) + 𝑥(𝑡) with the condition 𝑥(0) = 0, 𝑥(1) = 1 2 (1 − 1 /e )^2 where 𝐽𝑒𝑥𝑎𝑐𝑡 = 0.08404562020 In this example the initial approximation is 𝑥1 (𝑡) = 1/2 (1 − 1 /e ) ^2

Command window output:

solve_system_of_equations

Problem appears unbounded.

fmincon stopped because the objective function value is less than

the value of the objective function limit and constraints

are satisfied to within the value of the constraint tolerance.

<stopping criteria details>

>>

Please explain how to resolve the issue, I expected an anwer as two values after using fmincon but getting result as above?