**Course web address:** http://flyingv.ucsd.edu/mdiagne/MAE287.html

**Instructor:** Dr. Mamadou Diagne, 1801 EBUI, mdiagne@ucsd.edu

**TA:** Shuxia Tang, 2101 EBUI, sht015@ucsd.edu

**Time and Place:** TuTh 8:00-9:20 am, EBUI 2101

**Textbook: **M. Krstic and A. Smyshlyaev, *Boundary Control of PDEs: A Course on Backstepping Designs*, SIAM, 2008.

**Office Hours:** Mondays 3-4pm or by appointment (e-mail)

**Final Exam** (if held in class)**: **Dec. 16, 8-11 am

**Grading: **Final 50 % Project and Homework 50%

**Topics:** Lyapunov stability; exact solutions to PDEs; boundary control of *parabolic* PDEs (reaction-advection-diffusion and other equations); boundary observer design; boundary control of *hyperbolic* PDEs (wave equations) and beam equations; control of first-order hyperbolic PDEs and *delay* equations.

**Homework assignments:**

Homework 1: 4.1-4.6 Solutions

Homework 2: 9.1, 9.2, 9.3 Solutions

**Research Projects Choices :**

**Select one of the papers below to read and to then present briefly the key idea in class. There should be no more than two students presenting each of the individual papers.**

**Parabolic PDEs:**

http://flyingv.ucsd.edu/papers/PDF/78.pdf

http://flyingv.ucsd.edu/papers/PDF/108.pdf

http://flyingv.ucsd.edu/papers/PDF/119.pdf

**Delay Systems**:

http://flyingv.ucsd.edu/papers/PDF/126.pdf

http://flyingv.ucsd.edu/papers/PDF/142.pdf

http://flyingv.ucsd.edu/papers/PDF/123.pdf

http://flyingv.ucsd.edu/papers/PDF/163.pdf

**Final Exam:** final.pdf