MAE 281A -
Nonlinear Systems (Winter 2019)
Course web
address: http://flyingv.ucsd.edu/krstic/teaching/281a/281a.html
Instructor: Prof. Miroslav Krstic, 1808 EBUI,
krstic@ucsd.edu
Teaching
Assistant: Huan Yu (huy015@eng.ucsd.edu) and Mostafa Bagheri (mstfbagheri@eng.ucsd.edu),
2101 EBUI
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, PCYNH (Pepper Canyon Hall) 120
Cancelled classes: TBD
Make up classes: TBD
Office Hours by Instructor:
Mondays 10:00-11:00 am (1808 EBUI)
Office Hours by TA:
Mondays 1:00-2:00 pm (2101 EBUI)
Wednesdays 1:00-2:00 pm (2101 EBUI)
Fridays 1:00-2:00 pm (2101 EBUI)
Final Exam: Due Thursday, March
21, 11:00 am - 2101 EBU1
Grading: Homework 30% and Final 70%
Homework Solutions:
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) 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.