1. Use the Weierstrass condition, find the (Strongly) minimizing curve and the value of J_{min} for the cases
where x(1) = 0, x(2) = 3.
2. The system = x_{1 }+ 2u; where u = u(t) is not subject to any constraint, is to be controlled from x_{1}(0) = 1 to x_{1}(t_{1}) = 2 where t_{1} is unspecified, in such as way that
is minimized. Find the optimal control.
Solve the problem of time-optimal control to the origin for the system