Series on Advances in Mathematics for Applied Sciences - Vol. 20
GLOBAL CONTROLLABILITY AND STABILIZATION OF NONLINEAR SYSTEMS
by S Nikitin (Arizona State University, Tempe)
The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization. It contains many pictures and exercises so as to develop a geometrical control intuition and inspire the reader to think independently. The material presented is organized such that for Part I, it is only assumed that the reader has mastered the very basic notions of ordinary differential equation theory, general topology and analytic geometry. For Part II, the reader is assumed to be familiar with the elements of differential geometry.
Contents:
- Two-Dimensional Affine Nonlinear Systems:
Controllability of Cart
- Nonlinear Affine System on a Plane as a Cart Garland
- Semiglobal Stabilization of Cart Garland
- Two-Dimensional Systems with Singularities
- Multi-Dimensional Nonlinear Systems: Global Controllability Analysis
- Local Stabilization of Nonlinear Systems
- Semiglobal Stabilization
Readership: Applied mathematicians and nonlinear scientists.
"The book also contains many new results on nonlinear controllability and stabilizability that are not readily available elsewhere. Hence, it is of interest to researchers in these fields and is a welcome addition to the literature."
| IEEE Transactions on Automatic Control, 1997 |
| 284pp |
Pub. date: Sept 1994 |
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