Computational Methods for Control of Infinite-dimensional Systems

There are many challenges and research opportunities associated with developing and deploying computational methodologies for problems of control for systems modeled by partial differential equations and delay equations. The state of these systems lies in an infinite-dimensional space, but finite-dimensional approximations must be used. Fundamental issues in applied and computational mathematics are essential to the development of practical computational algorithms. The focus will be on applications, physics-based modeling, numerical methods, sensor/actuator location and optimal control. Although computation and optimization are the key themes that tie the areas together, topics in infinite-dimensional systems theory will be discussed since these are the foundation for all the topics.

The intended audience is mathematicians, scientists and engineers interested in the latest developments and challenges in the mathematical and computational sciences for design, optimization, and control of complex distributed parameter systems. We expect to have a combination of both tutorial talks and research talks from practitioners in diverse disciplines from industry, government and academia. Tutorial talks will be given on the first day of the workshop in order to provide some common background for all participants.