**Course web address:** http://flyingv.ucsd.edu/krstic/teaching/287/287.html

**Instructor:** Prof.
Miroslav Krstic, 1808 EBUI, 822-1374, krstic@ucsd.edu

**Time and Place:** TuTh 8:00-9:20 am, WLH 2110

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

**Office Hours:** Mondays 1-2 or by appointment
(e-mail, phone)

**Final Exam** (if held in class)**: **Dec. 6, 8-11 am

**Grading: **Homework 50%, Final or Project 50%

**Topics:** Lyapunov
stability; exact solutions to PDEs; boundary control of *parabolic* PDEs
(reaction-advection-diffusion and other equations); boundary observer design;
control of complex-valued PDEs (Schrodinger and Gunzburg-Landau equations);
boundary control of *hyperbolic*
PDEs (wave equations) and beam
equations; control of first-order hyperbolic PDEs and *delay* equations;
control of Kuramoto-Sivashinsky, Korteweg-de Vries, and other
"exotic" equations; control of *Navier-Stokes*
equations modeling turbulent
flows; motion planning for PDEs; elements of *adaptive control* for PDEs and control of *nonlinear*
PDEs.

**Lectures: **

Weeks 1, 2, 3, 4, 5, 6, 7, 8, 9

**Homework assignments: **

Homework 1: 2.1, 2.2, 2.3
Solutions

Homework 2: 3.1, 3.2 Solutions

Homework 3: 4.1-4.6 Solutions

Homework 4: 5.1, 5.2, 6.1 Solutions

Homework 5: 6.2, 7.1, 7.2, 7.3 Solutions

Homework 6: 8.1, 8.2, 9.1 Solutions

Homework 7: 9.2, 9.3
Solutions

Homework 8: 12.1-12.5

__FOR INSTRUCTORS__**: **Contact
Professor Krstic (krstic@ucsd.edu) for a
copy of the solutions manual for the above book. At the end of the Fall 2011
quarter you can download from here the complete slides
for teaching the course.