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.

The purpose of this book is to present a self-contained description of the fun­ damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach.