Finite dimensional control problems: Calculus of variations and control theory ; Optimal control problems without target conditions ; Minimum principle for general optimal control problems -- Infinite dimensional control problems: Differential equations in banach spaces and semigroup theory ; Abstract minimization problems in Hilbert spaces ; Interpolation and domains of fractional powers -- Relaxed controls: Spaces of relaxed controls. Topology and measure theory ; Relaxed controls in finite dimensional systems ; Relaxed controls in infinite dimensional systems

1. Mathematical optimization
2. Calculus of variations
3. Control theory