The Generic Degree of Autonomy
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.
Keywords
Cite
@article{arxiv.1805.07059,
title = {The Generic Degree of Autonomy},
author = {Shiva Shankar and Paula Rocha},
journal= {arXiv preprint arXiv:1805.07059},
year = {2018}
}
Comments
This arxiv version corrects errors in the published version of the paper (SIAM Journal on Applied Algebra Geometry, 2(3), 410-427, 2018), where an error in Theorem 3.1 propagated to the statements of Theorems 3.2, 4.1 and 4.2. These corrections will also appear as a Corrigendum