The Generic Degree of Autonomy

TL;DR

This paper introduces a method to compute the degree of autonomy for generic autonomous systems, showing that generic controllers maximize this autonomy, which indicates their maximal efficiency.

Contribution

It provides a novel calculation method for the degree of autonomy in n-D systems and demonstrates that generic controllers are maximally efficient in enhancing autonomy.

Findings

Calculates the degree of autonomy for generic n-D systems.

Shows that generic controllers maximize the system’s degree of autonomy.

Establishes the maximal efficiency of generic controllers in autonomous systems.

Abstract

This paper calculates the degree of autonomy of a generic autonomous n-D system given by the kernel of a partial difference operator. The calculation implies that attaching a generic controller to a non-autonomous system, results in a controlled system whose degree of autonomy is the maximum possible. Thus a generic controller is maximally efficient with respect to the criterion of maximising degree of autonomy. The term generic here refers to an open (dense) subset of the set of all n-D systems with the Zariski topology.