Unit Consistency, Generalized Inverses, and Effective System Design Methods

Abstract

This paper examines the potential role of unit consistency as a system design principle. Unit-consistent generalized matrix inverses and unit-invariant matrix decompositions are derived in support of this principle. Applications of the methods described are illustrated with examples relating to nonlinear system identification and robustness to multiplicative noise for image database retrieval.

Extended Theorem V.2 and added discussion of composite state spaces in which different subsets of variables have different consistency assumptions. Includes other small corrections/improvements

Cited by in corpus (3)

• On the Relative Gain Array (RGA) with Singular and Rectangular Matrices
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• A Generalized Matrix Inverse with Applications to Robotic Systems