Syllabus
The Ohio State University
Dept. Electrical and Computer Engineering

ECE 754: Nonlinear Systems

Winter 2007

Instructor: K. Passino, 416 Dreese Labs

Office Hours: By appointment, and after class

Textbook: H. Khalil, Nonlinear Systems, 3^rd Ed., Prentice Hall

Topics of Lectures:

• Modeling, nonlinearities
• Phase plane, equilibrium types
• Periodic orbits
• Existence and uniqueness of solutions
• Lyapunov stability, autonomous systems
• LaSalle’s invariance principle
• Instability
• Stability of nonautonomous systems
• Comparison functions
• Boundedness and uniform ultimate boundedness
• Instability
• Describing functions, Passive Systems
• Linearization by feedback
• Normal forms
• Zero dynamics

Grading (tentative):

• Homework: 20%
• Quizes: 15%
• Midterm exam: 25%
• Final exam: 40%

Prerequisites: Ordinary differential equations, linear systems, ECE 551