Syllabus

The Ohio State University

Dept. Electrical and Computer Engineering

**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