Causal Factorization and Linear Feedback

TL;DR

This paper introduces an algebraic framework for analyzing linear dynamic output feedback, focusing on causal factorization and latency kernels to address fundamental problems in control theory.

Contribution

It presents a novel algebraic approach to causal factorization in linear systems, utilizing latency kernels to resolve core issues in dynamic output feedback analysis.

Findings

Established a new concept of latency kernels.

Resolved fundamental problems in causal factorization.

Provided an algebraic framework for linear feedback analysis.

Abstract

An algebraic framework for the investigation of linear dynamic output feedback is introduced. Pivotal in the present theory is the problem of causal factorization, i.e. the problem of factoring two systems over each other through a causal factor. The basic issues are resolved with the aid of the new concept of latency kernels.