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