1. Introduction -- 2. Basics of differential games -- 3. Theory of dissipative systems -- 4. Hamiltonian mechanics and Hamilton-Jacobi theory -- 5. State-feedback nonlinear H [infinity]-control for continuous-time systems -- 6. Output-feedback nonlinear H [infinity]-control for continuous-time systems -- 7. Discrete-time nonlinear H [infinity]-control -- 8. Nonlinear H [infinity]-filtering -- 9. Singular nonlinear H [infinity]-control and H [infinity]-control for singularly-perturbed nonlinear systems -- 10. H [infinity]-filtering for singularly-perturbed nonlinear systems -- 11. Mixed H2/H [infinitiy] nonlinear control -- 12. Mixed H2/H [infinity] nonlinear filtering -- 13. Solving the Hamilton-Jacobi equation.