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$\mathbf{Goal: }$ To solve the optimal control problem.

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The reports presents a number of optimization methods to solve this optimal control problem

Project 1 - Gradient Descent Methods

  1. Steepest gradient descent with Amijo search for step-size $\alpha$,
  2. Steepest gradient descent with exact search for step-size $\alpha$,
  3. Conjugate gradient descent

Project 2 - Quasi-Newton Gradient Descent Methods

  1. Quasi-neuton gradient descent with SR1 update
  2. Quasi-neuton gradient descent with SR2 update

Project 3 - Nesterov's Gradient Descent Methods