Course web address: http://flyingv.ucsd.edu/krstic/teaching/281a/281a.html
Instructor: Prof.
Miroslav Krstic, 1808 EBUI, 822-1374, krstic@ucsd.edu
Texts:
•
Khalil, Nonlinear
Systems, Prentice Hall, 2001.
•
(supplemental)
Krstic, Kanellakopoulos, and Kokotovic, Nonlinear and Adaptive Control
Design, Wiley, 1995.
Prerequisites: Linear
Systems (MAE 280A) or consent of instructor
Time and Place: TuTh,
8:00-9:20 am, WLH 2209
Office Hours: M,
2-3, or by appointment (e-mail, phone)
Final Exam: Thursday, March 22, 8:00-11:00
Grading:
Homework (pdf) 30%
Final 70%
Course
Objective: The course will
give the students an in-depth introduction to stability and other analysis
techniques for nonlinear systems and prepare them for courses on nonlinear
control design (MAE 281B, alternate years) and adaptive control (MAE 282,
alternate years). Students from all departments are welcome.
Topics: Existence and uniqueness of solutions of ODEs,
sensitivity equations. Stability, direct and converse Lyapunov theorems,
LaSalle's theorem, linearization, invariance theorems. Center manifold theorem.
Stability of perturbed systems with vanishing and non-vanishing perturbations,
input-to-state ability, comparison method. Input-output stability. Perturbation
theory and averaging. Singular perturbations. Circle and Popov criteria.
Homework
Solutions: