1. Local Decompositions of Control Systems. - 2. Global Decompositions of Control Systems. - 3. Input-Output Maps and Realization Theory. - 4. Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems. - 5. Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems. - 6. Geometric Theory of State Feedback: Tools. - 7. Geometric Theory of Nonlinear Systems: Applications. - 8. Tracking and Regulation. - 9. Global Feedback Design for Single-Input Single-Output Systems. - A. Appendix A. - A. 1 Some Facts from Advanced Calculus. - A. 2 Some Elementary Notions of Topology. - A. 3 Smooth Manifolds. - A. 4 Submanifolds. - A. 5 Tangent Vectors. - A. 6 Vector Fields. - B. Appendix B. - B. 1 Center Manifold Theory. - B. 2 Some Useful Properties. - B. 3 Local Geometric Theory of Singular Perturbations. - Bibliographical Notes. - References. Language: English