Seminar Details
2008-09-23 (14.00) : "A Subspace-Based Method for Solving Lagrange--Sylvester Interpolation"
At Euler building
Organized by Mathematical Engineering
Speaker :
Huseyin AKCAY (Anadolu University, Turkey)
Abstract :
In this talk, we study the Lagrange--Sylvester interpolation of rational matrix functions which are analytic at infinity,
and propose a new interpolation algorithm based on the recent subspace-based identification methods. The proposed algorithm is numerically
efficient and delivers a minimal interpolant in state-space form. The solvability condition for the subspace-based algorithm is particularly
simple and depends only on the total multiplicity of the interpolation nodes. As an application, we consider subspace-based system identification
with interpolation constraints, which arises, for example, in the identification of continuous-time systems with a given relative degree.