## ELL 702: Nonlinear SystemsNonlinear Systems course covers the analysis of nonlinear control systems. By the end of the course, it is expected that the students would have learned about various tools to analyze nonlinear systems and played around with a variety of interesting nonlinear examples. The analysis tools covered in this course would lay the foundation for designing controllers for nonlinear systems in ELL801. ## Class InformationLecture schedule: Mondays and Thursdays, 2-3.20pm, LH614 Teaching assistant: Soutrik Bandyopadhyay Office hours: Wednesdays, 3-4pm (Soutrik) and Fridays, 1-2pm (Priyank) Mid-term: September 12, 2024, 1-3pm, LH510
## List of Topics (Tentative)Introduction
Planar dynamical systems
Existence and uniqueness of solutions
Lyapunov stability
Input-to-state stability
Perturbation theory
Averaging
Singular perturbations
Barrier functions
## HomeworksHomework#1 (due August 12, 2024) Homework#2 (due August 22, 2024) Homework#3 (due September 2, 2024) Homework#4 (due September 9, 2024) Homework#5 (due September 19, 2024) Homework#6 (due October 3, 2024) Homework#7 (due October 24, 2024) Homework#8 (due November 7, 2024)
## PrerequistiesBasic knowledge of state space models, differential equations, and linear algebra
Familiarity with any simulation software (Matlab, Mathematica, Python, etc.)
## Grading PolicyHomeworks: 60%
Mid-term: 15%
Major: 25%
## ReferencesH. K. Khalil. *Nonlinear Systems.*Prentice Hall, 3rd edition, 2002
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