### Friday, May 8

## MS9

Sufficient Conditions, Sensitivity Theory and Optimal Control Computations

4:30 PM-6:30 PM

*Tampa 1st Floor*

In optimal control theory, sufficient conditions for local optimality are closely related to the convergence properties of standard iterative algorithms, and also to the sensivity of the optimal solution set to cost function and constraint perturbations. Lipschitz sensitivity estimates are in turn important in the analysis of approximation procedures that replace difficult problems by related simpler problems (e.g., continuous-time problems by discrete-time problems). The gap between sufficient and necessary conditions is an essential consideration here, especially for infinite-dimensional ODE and PDE optimal control problems. The speaker in this minisymposium will address these issues.

**Organizers: Joseph C. Dunn**

*North Carolina State University*

**Helmut Maurer**

*Universitat Muenster, Germany*

**4:30 Second Order Analysis for Control-Constrained Optimal Control Problems of Semi-Linear Elliptic Systems**
- Frederick Bonnans, INRIA, Rocquencourt, France
**5:00 Sensitivity Analysis and Real-Time Control of Optimal Control Problems via Nonlinear Programming Methods**
- Christof Bueskens, Universitat Muenster, Germany; and
*Helmut Maurer*, Organizer
**5:30 A New Approach to Lipschitz Continuity in State Constrained Optimal Control**
- William W. Hager, University of Florida
**6:00 Extended Linear-Quadratic Optimal Control**
- R. Tyrrell Rockafellar, University of Washington

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*MMD, 3/25/98*