This course is a second graduate course in nonlinear systems,
organized into three parts as described below. The course is structured
to emphasize some of the recent research activity in nonlinear analysis
and control. We will use concepts from differential geometry,
however the course is self contained
in that this mathematics will be taught as part of the course.
Part 1: Advanced Topics in Feedback Linearization
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Control Systems (E205); Nonlinear Control (E209 or E209A); Linear Algebra (Math. 103, 113); Exposure to
Exposure to MATLAB is strongly recommended.
The course is based on a set of lecture notes which will be made available
throughout the term. References to relevant research
papers will also be given.
The following are the recommended reference texts:
S. S. Sastry. Nonlinear Systems: Analysis, Stability, and Control. Springer-Verlag, 1999.
A. Isidori. Nonlinear Control Systems, 3rd Edition. Springer, 1995.
M. Vidyasagar. Nonlinear Systems Analysis, 2nd Edition. Prentice-Hall, 1993.
H. K. Khalil. Nonlinear Systems, 3rd Edition. Prentice-Hall, 2002.