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.
For detailed information on Ledyaev's lectures, click here.
Key: PC=Piermarco Cannarsa, YL=Yuri Ledyaev, JV= Judith Vancostenoble.
|Week 1||May 22||May 23||May 24||May 25|
|"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)|
|"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|
|"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)
|"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)|
The slides for Ledyaev's talks will be posted here soon.
|Speaker||Title, Link to Abstract, and Time|
|Abdou Drame||"On the Existence of Positive Solutions of Semi-Positone Systems of Equations," Monday May 28th at 4PM.|
|Djiby Fall||"Global Attractors for the Wave Equation in Unbounded Domains," Monday May 28th at 3PM.|
|Vladimir Goncharov||"Neighborhood Retractions of Nonconvex Sets via Sublinear Functionals," Thursday May 24th at 3PM.|
|Yunho Hong||"Optimal Control Problems on Stratified Domains," Monday May 28th at 2PM.|
|Michael Malisoff||"Further Results on the Stability of Periodic Solutions in the Chemostat," Thursday May 24th at 4PM.|
|Michael Malisoff||"On Strict Lyapunov Functions for Rapidly and Slowly Time-Varying Nonlinear Systems," Wednesday May 30th at 4:30PM.|
|Antonio Marigonda||"Second-Order Conditions for the Controllability of Nonlinear Systems with Drift," Wednesday May 30th at 2:40PM.|
|Nguyen Mau Nam||"Nonsmooth Analysis of Marginal Functions and Set-Valued Mappings with Applications to Optimization and Stability," Thursday May 24th at 2PM.|
|Vinicio Rios||"Invariance and Some Results on Hamilton-Jacobi Theory for a Type of Discontinuous Differential Inclusions," Wednesday May 30th at 2:00PM.|
|Dario Rocchetti||"Null Controllability for Degenerate Parabolic Equations and Related Results," Wednesday May 30th at 3:40PM.|
Lockett Hall, Room 237
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.
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".
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Piermarco Cannarsa is a full professor of mathematical analysis at the University of Rome "Tor Vergata". His scientific interests include partial differential equations, control theory and nonsmooth analysis. His current research is concerned with regularity of viscosity solutions to Hamilton-Jacobi-Bellman equations, singularities of (semi)concave functions in both finite and infinite dimensions, and controllability of nonlinear evolution equations.
Cannarsa authored more than 60 papers in international journals, and the book "Semiconcave functions, Hamilton-Jacobi equations, and optimal control", published by Birkhäuser in 2004. He served as Associate Editor for the SIAM Journal on Control and Optimization. He is currently in the editorial board of the Rendiconti di Matematica.