Input-output and frequency domain approaches

Organiser: Jonathan Partington (Leeds)

Frequency domain/input output approaches are established techniques in mathematical systems theory and control engineering. They are especially useful in the context of infinite-dimensional control. In this session we will present some of the latest developments in this area including: Techniques for spectral factorization using meromorphic function theory and new algorithms which involve infinite product representations; applications to PDE and delay examples; representation of systems by input/output mappings; Lax-Beurling-Helson theory and ideas involving causality and coprime factorizations; rational and meromorphic approximation; applications to inverse problems for PDEs; spectral interpolation and the the $\mu$-synthesis problem.

Frank Callier (Namur, Belgium): Spectral Factorization by Symmetric Extraction for a Vibrating String with Low Damping

Juliette Leblond ( Sophia Antipolis , France): Inverse problems for Laplace equations : applications of analysis and best approximation in Hardy classes

Hartmut Logemann (Bath)

Jonathan Partington (Leeds): "$H_\infty$ stabilization of delay systems: the difficult case"

Joseph Winkin (Namur, Belgium): Spectral Factorization of Meromorphic Functions of Finite Order for Distributed Parameter Systems

Dmitry V. Yakubovich: Exact observability, the Nagy-Foias theory in a domain, neutral linear systems with delay and the mean winding number

Stuart Townley: Stability of infinite-dimensional sampled-data systems

Written by Stuart Townley
Last modified: January 2003