Partial and Full Detection of Source Terms

In modern industrial networks, important source terms are monitored during operations. Due to the shortage of sensors or changes of components and connections, all the source terms may not be uniquely detected. This brief is dealt with the problem of partial and full detection of source terms in lin...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 71; no. 2; pp. 977 - 981
Main Authors Zhang, Liang, Wang, Qing-Guo, Yang, Shuang-Hua
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Artificial intelligence
Atmospheric measurements
Chemicals
Circuits
Industrial parks
linear circuit systems
Linear systems
Monitoring
networks
Numerical methods
Pollution measurement
Sensors
Source terms detection
system monitoring
unique partial solution
Uniqueness
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Summary:In modern industrial networks, important source terms are monitored during operations. Due to the shortage of sensors or changes of components and connections, all the source terms may not be uniquely detected. This brief is dealt with the problem of partial and full detection of source terms in linear systems. The existence of a partially unique solution for a linear system is analyzed and an algorithm is proposed to identify the maximum set of unique partial solutions. Furthermore, an algorithm is developed to achieve the minimum realization of a unique full solution with additional measurements. The proposed methods are demonstrated through numerical examples and applied to a circuit analysis problem and a source term estimation problem in chemical industrial parks.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3311814