Control Cost A Minimum Intervention Principle for Admissible Systems

This paper introduces Control Cost within the Paton System as a structural measure of the minimum intervention required to maintain system admissibility. Building on Admissibility Control the framework defines control cost over admissible trajectories as the integral of applied control input required to preserve positive admissibility margin. The paper establishes a minimum intervention principle stating that admissible systems should be maintained using the least structural input necessary. This provides a domain independent method for analysing control efficiency intervention limits and stabilisation strategies without modifying underlying governing equations.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-22
DOI
https://doi.org/10.5281/zenodo.19158971
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Control Cost A Minimum Intervention Principle for Admissible Systems

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Adaptive Control of Nonlinear Systems
article

Control Cost A Minimum Intervention Principle for Admissible Systems

Andrew John Paton
article en

Abstract

This paper introduces Control Cost within the Paton System as a structural measure of the minimum intervention required to maintain system admissibility. Building on Admissibility Control the framework defines control cost over admissible trajectories as the integral of applied control input required to preserve positive admissibility margin. The paper establishes a minimum intervention principle stating that admissible systems should be maintained using the least structural input necessary. This provides a domain independent method for analysing control efficiency intervention limits and stabilisation strategies without modifying underlying governing equations.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 12%
Adaptive Control of Nonlinear Systems
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Control Cost A Minimum Intervention Principle for Admissible Systems — Andrew John Paton · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS