Differentially Private Average Consensus With Logarithmic Dynamic Encoding–Decoding Scheme

Wei Chen1; Zidong Wang2; Jun Hu3; Guo-Ping Liu1

2023

10.1109/TCYB.2022.3233296

IEEE Transactions on Cybernetics   影响因子和分区

2168-2275

2168-2275

This article is concerned with the differentially private average consensus (DPAC) problem for a class of multiagent systems with quantized communication. By constructing a pair of auxiliary dynamic equations, a logarithmic dynamic encoding-decoding (LDED) scheme is developed and then utilized during the process of data transmission, thereby eliminating the effect of quantization errors on the consensus accuracy. The primary purpose of this article is to establish a unified framework that integrates the convergence analysis, the accuracy evaluation, and the privacy level for the developed DPAC algorithm under the LDED communication scheme. By means of the matrix eigenvalue analysis method, the Jury stability criterion, and the probability theory, a sufficient condition (with respect to the quantization accuracy, the coupling strength, and the communication topology) is first derived to ensure the almost sure convergence of the proposed DPAC algorithm, and the convergence accuracy and privacy level are thoroughly investigated by resorting to the Chebyshev inequality and $\epsilon$ -differential privacy index. Finally, simulation results are provided to illustrate the correctness and validity of the developed algorithm.

Differential private average consensus dynamic encoding–decoding scheme logarithmic quantization multiagent systems (MASs)

SCI ; EI

英语

第一

National Natural Science Foundation of China["62188101","62173255","12171124","61933007"] ; Guangdong Basic and Applied Basic Research Foundation of China[2022A1515110459]

Automation & Control Systems ; Computer Science

Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics

WOS:000915718800001

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

20230613545847

Decoding ; Eigenvalues and eigenfunctions ; Encoding (symbols) ; Multi agent systems ; Quantization (signal) ; Signal encoding ; Stability criteria

Modulators, Demodulators, Limiters, Discriminators, Mixers:713.3 ; Information Theory and Signal Processing:716.1 ; Computer Programming:723.1 ; Data Processing and Image Processing:723.2 ; System Stability:731.4 ; Systems Science:961

IEEE

1.Center for Control Science and Technology, Southern University of Science and Technology, Shenzhen, China
2.Department of Computer Science, Brunel University London, Uxbridge, U.K.
3.Department of Mathematics and the Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, China

Wei Chen,Zidong Wang,Jun Hu,等. Differentially Private Average Consensus With Logarithmic Dynamic Encoding–Decoding Scheme[J]. IEEE Transactions on Cybernetics,2023,PP(99):1-12.

Wei Chen,Zidong Wang,Jun Hu,&Guo-Ping Liu.(2023).Differentially Private Average Consensus With Logarithmic Dynamic Encoding–Decoding Scheme.IEEE Transactions on Cybernetics,PP(99),1-12.

Wei Chen,et al."Differentially Private Average Consensus With Logarithmic Dynamic Encoding–Decoding Scheme".IEEE Transactions on Cybernetics PP.99(2023):1-12.