Research Article

Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays

Algorithm 2

NCG with Hager and Zhang scheme.
Input: index , maximum , tolerance .
While ( and ) do
(1)Obtain from step 1 in Algorithm 1 with ;
(2)Get from step 1 in Algorithm 1 with ;
(3)Evaluate the gradient from step 1 in Algorithm 1;
(4)Compute by using backtracking line search scheme with Armijo’s condition [30];
(5)Compute by using Hager and Zhang search direction formula [24];
(6)Update ;
(7)
End while