24/10/2019, 14h00, Prof. Nathan van de Wouw

Date de publication : Oct 09, 2019 7:29:51 AM

Prof. Nathan van de Wouw from University of Eindhoven gives a seminar Thursday 24 October 2019 in room E302 (Bât E – 3^e étage).

Title: Balancing-based model reduction for delay systems

Abstract:

In this talk, two approaches for model reduction of delay systems based on balancing techniques are presented.

In the first approach, a decomposition of the delay system dynamics is pursued in terms of a feedback interconnection between a finite-dimensional

linear system and a delay operator. Subsequently, the finite-dimensional part of the dynamics can be reduced using balancing techniques.

In the second approach, a balancing technique is developed on the basis of energy functionals that provide (bounds on) a measure

of energy related to observability and controllability, respectively, for the infinite-dimensional delay system.

These functionals are then used as a basis for model reduction for the delay system.

Benefits of these approaches are, firstly, the fact that the delay nature of the system is

preserved after reduction, secondly, that input–output stability properties are preserved and, thirdly, that

a computable error bound reflecting the accuracy of the reduction is provided. The effectiveness of the

results is evidenced by means of illustrative examples.