AE 504 Catalog Description:

Formulation of parameter and functional optimization problems for dynamic systems; applications of optimization principles to the control and performance of aerospace vehicles, including optimal flight paths, trajectories, and feedback control. Prerequisite: AE 352 or equivalent. 4 hours.

Parameter optimization problems (linear and nonlinear programming)
Functional optimization problems (calculus of variations with extensions to dynamic systems)
Functional optimization problems with control constraints (maximum principle, bang-bang control)
Linear dynamic systems with quadratic cost criteria (LQP) (feedback control)
Path constraints
Neighboring optimal paths (second variation)
Second-order necessary conditions and sufficient conditions