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Full Description
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. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.
Contents
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.
