Unreliable networks with random parameter matrices and time-correlated noises: distributed estimation under deception attacks
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AuthorCaballero Águila, Raquel; García-Ligero Ramírez, María Jesús; Hermoso Carazo, Aurora; Linares Pérez, Josefa
American Institute of Mathematical Sciences
Networked systemsRandom parameter matricesTime-correlated additive noiseRandom deception attacksDistributed estimation
Raquel Caballero-Águila, María J. García-Ligero, Aurora Hermoso-Carazo, Josefa Linares-Pérez. Unreliable networks with random parameter matrices and time-correlated noises: distributed estimation under deception attacks[J]. Mathematical Biosciences and Engineering, 2023, 20(8): 14550-14577. [doi: 10.3934/mbe.2023651]
SponsorshipAgencia Estatal de Investigación; Ministerio de Ciencia e Innovación; European Regional Development Fund PID2021-124486NB-I00; Agencia Estatal de Investigación
This paper examines the distributed filtering and fixed-point smoothing problems for networked systems, considering random parameter matrices, time-correlated additive noises and random deception attacks. The proposed distributed estimation algorithms consist of two stages: the first stage creates intermediate estimators based on local and adjacent node measurements, while the second stage combines the intermediate estimators from neighboring sensors using least-squares matrix-weighted linear combinations. The major contributions and challenges lie in simultaneously considering various network-induced phenomena and providing a unified framework for systems with incomplete information. The algorithms are designed without specific structure assumptions and use a covariance-based estimation technique, which does not require knowledge of the evolution model of the signal being estimated. A numerical experiment demonstrates the applicability and e ectiveness of the proposed algorithms, highlighting the impact of observation uncertainties and deception attacks on estimation accuracy.