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In optimization problems, the local optima are defined as the relative best solutions within a neighbor solution set. But when people refer to a local optimum, they just say it is a local optimum....
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Numerical direct methods for optimal control problems usually first discretize the controller u(t) piecewise from t_0 to t_f. Then the optimal control problem has been cast into the nonlinear...
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It seems that they both aim to reach an optimal state by controlling some variables.
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