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Mathematics > Optimization and Control

arXiv:1812.04168 (math)
[Submitted on 11 Dec 2018 (v1), last revised 21 Jun 2019 (this version, v2)]

Title:Secure and Private Implementation of Dynamic Controllers Using Semi-Homomorphic Encryption

Authors:Carlos Murguia, Farhad Farokhi, Iman Shames
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Abstract:This paper presents a secure and private implementation of linear time-invariant dynamic controllers using Paillier's encryption, a semi-homomorphic encryption method. To avoid overflow or underflow within the encryption domain, the state of the controller is reset periodically. A control design approach is presented to ensure stability and optimize performance of the closed-loop system with encrypted controller.
Comments: Improved numerical example
Subjects: Optimization and Control (math.OC); Cryptography and Security (cs.CR); Systems and Control (eess.SY)
Cite as: arXiv:1812.04168 [math.OC]
  (or arXiv:1812.04168v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.04168

Submission history

From: Farhad Farokhi [view email]
[v1] Tue, 11 Dec 2018 01:02:00 UTC (123 KB)
[v2] Fri, 21 Jun 2019 01:59:50 UTC (179 KB)
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