On Checking Null Rank Conditions of Rational Matrices
arXiv:1812.11396h-index: 17
Originality Synthesis-oriented
AI Analysis
This work addresses the need for reliable rank-checking methods for rational matrices in control theory, but it is incremental as it applies existing tools without introducing new algorithms.
The paper discusses numerical approaches to check the rank condition rank G(λ) = 0 for rational matrices using descriptor system realizations, employing MATLAB and DSTOOLS functions for testing.
In this paper we discuss possible numerical approaches to reliably check the rank condition rank $G(λ) = 0$ for a given rational matrix $G(λ)$ in terms of its descriptor system realization. For test purposes we employ functions available in the Control System Toolbox of MATLAB and the Descriptor System Tools (DSTOOLS) collection.