Monday, May 20

4:50-6:50 PM

Oak Bay 1
## MS14

Periodic and Chaotic Solutions of Optimal Control Models

During the last decade the following class of problems has been studied in several fields of
applied mathematics. Under which conditions is the longrun behavior of the optimal solution
to deterministic, autonomous optimal control problems with infinite time horizon periodic or
chaotic? The question of endogenously generated limit cycles and chaotic attractors is of
importance in various fields of mathematic economics (like optimal growth theory), operations
research (dynamic programming applied for instance to marketing, production or finance) and
engineering. The speakers will discuss this class of problems and some applications. Although
several mechanisms generating complex behavior have already been identified, more work has to
be done to gain insights on the compatibility of optimality and complexity.
**Organizer: Gustav Feichtinger**

Vienna University of Technology, Austria

**Periodic and Chaotic Solutions of Non-Concave Optimal Control Problems**
- Gustav Feichtinger, Organizer
**Numerical Solution and Sensitivity Analysis of Periodic Control Problems**
- Helmut Maurer, Universitat Muenster, Germany
**Energy Optimal Periodic Solutions and Feedback Control for Subway Trains with **

Non-Connected Control Sets
- Johannes Schloder, Universitat Heidelberg, Germany
**The Value of an Optimal Investment with Periodic Discount Rate **
- Malte Sieveking, Universitat Johann Wolfgang Goethe, Germany

*LMH, 3/15/96*