On the existence and approximation of a dissipating feedback (Nicola Guglielmi, L'Aquilla)

23.10.2018 14:00

This is a joint work with Valeria Simoncini (Università di Bologna)

Given a matrix pair $(A,B)$ with $A\in \R^{n\times n}$ and a tall rectangular matrix $B \in \R^{n\times q}$, $q < n$, we
consider the problem of making the pair $(A,B)$ dissipative, that is the determination of a feedback matrix $K$ such that
the field of values of the matrix $A-B K$ lies in the left half open complex plane.

We review and expand classical results available in the literature on the existence and parameterization of the class of dissipating
matrices, and we explore new matrix properties associated with the problem.
We also discuss various computational strategies for approximating the matrix $K$ of minimal norm making the pair dissipative.

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