Maximization of functionals of a single and several functions using calculus of variations, Constrained extremals, Euler-Lagrange Equation
Necessary conditions for optimal control, Pontryagin's minimum principle and state inequality constraints, Minimum time problems, Minimum control effort problems
Linear quadratic regulator problems, Riccati Equation
The principle of optimality, Application of the principle of optimality to decision making, Dynamic programming applied to routing problems, Solving optimal control problems using dynamic programming
Discrete linear regulator problem, Hamilton -Jacobi -Bellman Equation, Numerical Techniques to determine optimal trajectories.