if I want solve two point boundary problem and if I want minimize the cost function

J=Integration(u1^2+u2^2)         

sub to xdot=f(x,u)

where g=(u1^2+u2^2) ;

u1, u2 are torques traj

x: is the state space traj

H=g+lamda*f(x,u)

my question is about the co states traj (lamda) for the previous cost function, the value for the lamda(tf) must be equal zero or it is not necessary to check it ?  

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