Organizers:

• Urszula Ledzewicz    uledzew@siue.edu
  Southern Illinois University     
• Heinz Schaettler   hms@cec.wustl.edu
  Washington University
  

List of Confirmed Invited Speakers:

•  On optimality of bang-bang extremal controls for bilinear systems, 
  Andrey Sarychev, ansar@mat.ua.pt, University of Aveiro, Portugal,
  
•  Optimal control problems for a general class of models in chemotherapy of cancer and HIV, 
  Urszula Ledzewicz,  uledzew@siue.edu (paper with Heinz Schaettler), 
  Southern Illinois University, Edwardsville, Illinois, USA, 
•  Local controllability of linear control systems on Lie groups, 
  Fabiana Cardetti, cardetti@math.lsu.edu (paper with Dirk Mittenhuber), 
  Louisiana State University, Baton Rouge, Louisiana, USA, 
• Minimization of the base transit time in semiconductor devices using optimal control, 
  Heinz Schaettler, hms@cec.wustl.edu  (paper with Paolo Rinaldi), 
  Dept. of Systems Science and Mathematics, Washington University, St. Louis, Missouri, USA, 
• Mikhail Basin  mbasin@einstein.fcfm.uanl.mx  

Abstracts of the talks

Andrey Sarychev, On optimality of bang-bang extremal controls for bilinear systems.

Application of Pontryagin Maximum Principle - a necessary optimality condition for optimal control problems with constrained controls - provides information on extremal controls, among which optimal controls have to be searched. In some cases, like the one of chained control systems with two inputs, one can provide complete description of the structure of Pontryagin extremals for time-optimal problems (see A.Sarychev, H.Nijmeijer, J. Dynam. Control Systems, v.2, 1996, pp. 503-527). It is known however that the bang-bang Pontryagin extremals may cease to be optimal. In our talk we are going to present some results on optimality of bang-bang extremals for bilinear control systems with constrained controls and in particular on time optimality for chained systems.

Andrey Sarychev, University of Aveiro, Portugal, ansar@mat.ua.pt