Instruction will be online starting on March 23. If you are registered for the class, you will receive an email with instructions on how to access the online material. If you are not registered, please send an email to beck3@illinois.edu and rsrikant@illinois.edu and we will add you to course email list.

Term: Spring 2020

Prerequisites: ECE515 and MATH 444/447, or equivalent

Instructors: Prof. Carolyn Beck, beck3@illinois.edu and Prof. R. Srikant, rsrikant@illinois.edu

TAs: Ivan Abraham, itabrah2@illinois.edu and Massi Amrouche, amrouch2@illinois.edu

Instructors' Office Hours: 1-2 pm Thursdays, Beck 159 CSL; 5-6 pm Thursdays, Srikant 107 CSL

TAs' Office Hours: Amrouche, 3-4 pm Tuesdays, 146 CSL; Abraham, 4-5 pm Wednesdays, 164 CSL

Lectures:11-12:20 TuTh, 2015 ECEB

Spring Break: March 14-22

Last Day of instruction: May 6

Outline (Time Permitting):

• Introduction and mathematical preliminaries
• ODE Theory: existence and uniqueness of solutions, continuity wrt initial conditions, comparison lemma
• Lyapunov theory: notions of stability, Lyapunov's direct and indirect methods for time-invariant systems, extensions to time-varying systems
• Passivity and storage functions, stability of passive systems and their interconnections, Lur'e problem and absolute stability
• Input-output stability, i/o stability of interconnected systems and the small gain theorem
• Other topics: singular perturbations, controller design, applications

Grading (Link to compass):

• Homework (80%): Approximately once every two weeks. Collaboration is allowed, but solutions have to be written individually. Directly copying solutions will be viewed very unfavorably. Homework should be submitted via Gradescope. Late homework will not be accepted.
• Final exam (20%): Due: May 8, 10 pm. Additional instructions by email.

References:

• H. Khalil. Nonlinear Systems