Distributed Recursive Projection Identification with Binary-Valued Observations
Wang Ying1,2; Zhao Yanlong1,2; Zhang Ji-Feng1,2
AbstractThis paper investigates a distributed recursive projection identification problem with binary-valued observations built on a sensor network, where each sensor in the sensor network measures partial information of the unknown parameter only, but each sensor is allowed to communicate with its neighbors. A distributed recursive projection algorithm is proposed based on a specific projection operator and a diffusion strategy. The authors establish the upper bound of the accumulated regrets of the adaptive predictor without any requirement of excitation conditions. Moreover, the convergence of the algorithm is given under the bounded cooperative excitation condition, which is more general than the previously imposed independence or persistent excitations on the system regressors and maybe the weakest one under binary observations. A numerical example is supplied to demonstrate the theoretical results and the cooperative effect of the sensors, which shows that the whole network can still fulfill the estimation task through exchanging information between sensors even if any individual sensor cannot.
KeywordAdaptive predictor binary-valued observations cooperative excitations distributed parameter estimation
Indexed BySCI
Funding ProjectNational Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61877057] ; National Natural Science Foundation of China[62025306] ; Open Fund Program of Beijing National Research Center for Information Science and Technology
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000711413600022
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Document Type期刊论文
Corresponding AuthorZhao Yanlong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Wang Ying,Zhao Yanlong,Zhang Ji-Feng. Distributed Recursive Projection Identification with Binary-Valued Observations[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2021,34(5):2048-2068.
APA Wang Ying,Zhao Yanlong,&Zhang Ji-Feng.(2021).Distributed Recursive Projection Identification with Binary-Valued Observations.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,34(5),2048-2068.
MLA Wang Ying,et al."Distributed Recursive Projection Identification with Binary-Valued Observations".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 34.5(2021):2048-2068.
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