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 = x₁ + 2u; where u = u(t) is not subject to any constraint, is to be controlled from x₁(0) = 1 to x₁(t₁) = 2 where t₁ 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

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