New examples for a metric for control systems

The need for measuring closeness of control systems is basic in control theory. A useful metric for this in the context of linear control systems was introduced by Vinnicombe in 1993, and is called the -metric. But there, only systems described by constant coefficient ordinary differential equations were considered, and the question of handling partial differential equations and delay-differential equations was left open. This issue was addressed in

A refinement of the generalized chordal distance. (English summary)
SIAM J. Control Optim. 52 (2014), no. 6, 3538–3555

and a new -metric was defined which also covers PDE and delay-differential equation systems.

The aim of the project will be to calculate this -metric in realistic prototypical control system models.

The project will be co-supervised by Amol Sasane, with Sara Maad Sasane as the main supervisor.