Control theory is one of the most central and fast growing areas of applied mathematics and engineering. The Louisiana Workshop on Mathematical Control Theory (MCT'07) will be held from May 22-31, 2007 and will consist of one eight-day mini-course, several plenary talks, and shorter presentations including talks by students and recent PhDs. It is the third in a series of conferences and workshops organized by the LSU control theory group the first two of which were MCT'03 and MCT'06. The workshop is open and free to all graduate students and recent doctoral recipients.
Mini-Course Lecturer:
Piermarco Cannarsa of the University of Rome “Tor Vergata” will present eight lectures on “Semiconcavity and Control Theory”.
Plenary Speakers:
- Yuri Ledyaev, Western Michigan University, will present four lectures on “Nonlinear Analysis and its Applications in Control and Differential Geometry”.
- Judith Vancostenoble, Université Paul Sabatier, FRANCE, will present four lectures.
Other Participants:
- Rick Barnard, Louisiana State University
- Jacob Blanton, Louisiana State University
- Wei Cai, Louisiana State University
- Abdou Drame, University of Nevada, Las Vegas *
- Djiby Fall, Jackson State University *
- Vladimir Goncharov, Universidade de Évora, PORTUGAL *
- Alvaro Guevara, Louisiana State University
- Yunho Hong, The Pennsylvania State University *
- Lingyan Huang, Louisiana State University
- Qingxia Li, Louisiana State University
- Michael Malisoff, Louisiana State University *
- Antonio Marigonda, University of Pavia, ITALY *
- Nguyen Mau Nam, Wayne State University *
- Hai Ngo, Louisiana State University
- Norma Ortiz, Virginia Commonwealth University
- Vinicio Rios, Universidad del Zulia, VENEZUELA *
- Dario Rocchetti, Università di Roma "Tor Vergata", ITALY *
- Hairui Tu, Louisiana State University
- Peter Wolenski, Louisiana State University
* Confirmed Speaker
Mini-Course and Plenary Talks:
Key: PC=Piermarco Cannarsa, YL=Yuri Ledyaev, JV=Judith Vancostenoble.
| Week 1 | May 22 | May 23 | May 24 | May 25 |
|---|---|---|---|---|
| 8:30am- 10:00am | "Unique Continuation and Local Carleman Estimates for Elliptic Operators" (PC) | "Feedback Stabilization and Asymptotic Controllability" (YL) | "Global Carleman estimates for Parabolic Operators" (PC) | "Nonsmooth Analysis on Manifolds: Convexity, Jung Circumradius Theorem, Helly Intersection Theorem" (YL) |
| 10:30am- noon | "Lyapunov Functions and Stability of Differential Equations with Discontinuous Right-Hand Side" (YL) | "Approximate Controllability and Local Carleman Estimates for Parabolic Operators" (PC) | "Robust Discontinuous Feedback Control" (YL) | "Null Controllability of (Uniformly) Parabolic Equations" (PC) |
| Week 2 | May 28 | May 29 | May 30 | May 31 |
|---|---|---|---|---|
| 8:30am- 10:00am | "Semiconcave Functions and Dynamic Programming" (PC) | "Controllability of the Nondegenerate Heat Equation in Unbounded Domain" (JV) | "Rectifiability of Singular Sets of Semiconcave Functions. Representation Formula for Sandpile Growth Models" (PC) | "Controllability of the Heat Equation with a Singular Inverse-Square Potential" (JV) |
| 10:30am- noon | "Controllability of Degenerate Parabolic Equations with Transport and Diffusion (Based on a Boundary Layer Model)" (JV) | "Geometric Properties Related to Semiconcavity: The Interior Sphere Property" (PC) | "Controllability of Degenerate Heat Equations with a Diffusion Coefficient Vanishing at the Boundary of the Domain" (JV) | "Propagation of Singularities: Hamilton-Jacobi and Monge-Ampere Equations, Weak KAM Theory" (PC) |
Afternoon Talks:
Location:
Lockett Hall, Room 237
Virtual Preprint Table:
- "Optimal Control Problems on Stratified Domains (paper)" by A. Bressan and Y. Hong
- "Controllability Results for a Class of One-Dimensional Degenerate Parabolic Problems in Nondivergence Form" by P. Cannarsa, G. Fragnelli, and D. Rocchetti
Local Information:
This workshop will take place on the main campus of Louisiana State University (LSU) in Baton Rouge. Driving directions from the nearby interstates are available on the LSU web site. The two hotels on campus are the Lod Cook Hotel and the Faculty Club Hotel. The Baton Rouge Metropolitan Airport (BTR) is 9 miles from LSU. BTR is serviced by Continental Airlines, and offers service to international airports in Atlanta, Houston, and Memphis. There is currently no direct public transportation between BTR and LSU although typically there are taxis already waiting outside the baggage claim area at BTR. A cab ride from BTR to LSU runs about $35. The New Orleans International Airport (MSY) is 75 miles away. However, there is no passenger train service between Baton Rouge and New Orleans, and the bus service between New Orleans and LSU is very limited. Participants can go to the LSU Visitor Information Center to get campus directions and parking instructions. An online campus map is also available. Some local attractions in Baton Rouge include the Rural Life Museum, the Louisiana State Capitol, the Old State Capitol, and Bluebonnet Swamp. Participants may also enjoy visiting historical sites around Saint Francisville which is 30 miles away, or in the New Orleans French Quarter. The Louisiana Office of Tourism web site has detailed information about area attractions. There is also a local events calendar in Country Roads Magazine. Some popular restaurants near the LSU campus include Chimes (which is located on Highland Road two blocks north of the Faculty Club and is open for lunch and dinner), the Faculty Club Restaurant (which is open for lunch), and Louie's Cafe (on West State St. which is one block north of and parallel to West Chimes St.) which is famous for their omelettes. Tsunami is a well known restaurant in downtown Baton Rouge. The weather in Baton Rouge in late May is typically humid with highs in the 80's and lows in the 60's but the talks will be in an air conditioned building and the campus hotels are air conditioned. Questions about MCT'07 should be sent to Peter Wolenski (wolenski@m*) or Alvaro Guevara (aguevara@m*) where m* stands for math.lsu.edu.
Organizers and Sponsors:
The workshop chair is Peter Wolenski, and Michael Malisoff is the workshop co-chair. The assistant organizer is Alvaro Guevara. The organizers thank the Louisiana Board of Regents for funding this workshop as part of their project "Enhancing Control Theory at LSU".
Photos:
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