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Identification of Linear Systems Using Binary Sensors with Random Thresholds

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In this paper,the problem of identifying autoregressive-moving-average systems under random threshold binary-valued output measurements is considered.With the help of stochastic ap-proximation algorithms with expanding truncations,the authors give the recursive estimates for the pa-rameters of both the linear system and the binary sensor.Under reasonable conditions,all constructed estimates are proved to be convergent to the true values with probability one,and the convergence rates are also established.A simulation example is provided to justify the theoretical results.

α-mixingbinary sensorquantized systemstochastic approximationstochastic thresh-oldstrongly consistentsystem identification

HUANG Zhiyong、SONG Qijiang

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School of Mathematics,Renmin University of China,Beijing 100872,China

School of Mathematics,Sino-French Institute,Renmin University of China,Beijing 100872,China

2024

系统科学与复杂性学报(英文版)
中国科学院系统科学研究所

系统科学与复杂性学报(英文版)

EI
影响因子:0.181
ISSN:1009-6124
年,卷(期):2024.37(3)
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