A. Mullhaupt

collaborators

4 papers

stat.ME2018

Orthogonal Representations for Output System Pairs

Andrew Mullhaupt, Kurt Riedel

A new class of canonical forms is given proposed in which $(A, C)$ is in Hessenberg observer or Schur form and output normal: $I - A^{*} A = C^{*} C$ . Here, $C$ is the $d \times n$ m…

stat.ME2018

Exponential Condition Number of Solutions of the Discrete Lyapunov Equation

Andrew Mullhaupt, Kurt Riedel

The condition number of the $n x n$ matrix $P$ is examined, where $P$ solves %the discete Lyapunov equation, $P - A P A^{*} = B B^{*}$ , and $B$ is a $n x d$ matrix. Lower bounds on…

stat.ME2018

Fast Adaptive Identification of Stable Innovation Filters

Andrew P. Mullhaupt, Kurt S. Riedel

The adaptive identification of the impulse response of an innovation filter is considered. The impulse response is a finite sum of known basis functions with unknown coefficients.…

stat.ME2018

Banded Matrix Fraction Representation of Triangular Input Normal Pairs

Andrew P. Mullhaupt, Kurt S. Riedel

An input pair $(A, B)$ is triangular input normal if and only if $A$ is triangular and $A A^{*} + B B^{*} = I_{n}$ , where $I_{n}$ is theidentity matrix. Input normal pairs generate an orthono…