非線性系統理論

Goals of the Class: 1. To learn the key differences between linear and nonlinear systems. 2. To learn the fundamentals of nonlinear system theories. 3. To learn the so-called “nonlinear critical systems” and “bifurcation phenomena.” Course Outlines: 1. Introduction to Nonlinear Systems 2. Second-Order Systems 3. Concepts of Invariant Manifold 4. Lyapunov Functions 5. Stabilization Design of Nonlinear Systems via Invariant Manifold Approach 6. Simple Bifurcations 7. Example Studies

作業部份: 考試部份: Midterm Exam: 30% Homework: 40% Term Project: 30% 評量部份:

1. D.-C. Liaw, Feedback Stabilization via Center Manifold Reduction with Application to Tethered Satellites, Ph.D. Dissertation, University of Maryland, 1990. 2. Hassan K. Khalil, Nonlinear Systems, 2nd Edition, Prentice Hall, 1996. 3. M. Vidyasagar, Nonlinear Systems Analysis, Prentice-Hall, 1st Edition, 1978.