Benedetto Piccoli

Optimal Synthesis Theory

1. A brief introduction to Optimal Control Theory.

2. Pontryagin Maximum Principle.

3. Comparison between different kinds of solutions for Optimal Control Problems:

- open loop controls

- feedbacks

- syntheses

- value function

4. Boltianskii-Brunovsky Regular Syntheses. Sufficient conditions for Optimality.

5. Minimum Time for Bidimensional Single-input Systems. The Classification Program.