On the output redundancy of LTI systems: a geometric approach with application to privacy
File(s)
Published version
Author(s)
Type
Journal Article
Abstract
This article examines the properties of output-redundant systems, that is, systems possessing a larger number of outputs than inputs, through the lense of the geometric approach of Wonham et al. We begin by formulating a simple output allocation synthesis problem, which involves “concealing” input information from a malicious eavesdropper having access to the system output, while still allowing for a legitimate user to reconstruct it. It is shown that the solvability of this problem requires the availability of a redundant set of outputs. This very problem is instrumental to unveiling the fundamental geometric properties of output-redundant systems, which form the basis for our subsequent constructions and results. As a direct application, we demonstrate how output allocation can be employed to effectively protect the input information from certain output eavesdroppers with guaranteed results.
Date Issued
2025-11-01
Date Acceptance
2025-05-24
Citation
IEEE Transactions on Automatic Control, 2025, 70 (11), pp.7509-7522
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
7509
End Page
7522
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
70
Issue
11
Copyright Statement
© 2025 The Authors. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. For more information, see https://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Automation & Control Systems
Control systems
Eavesdropping
Engineering
Engineering, Electrical & Electronic
Geometric approach
Linear systems
LTI systems
Measurement
output redundancy
Redundancy
Resource management
Science & Technology
Sensor systems
Sensors
system invertibility
Taxonomy
Technology
Vectors
Publication Status
Published
Date Publish Online
2025-06-12