Partial and full detection of source terms

Zhang, L. ORCID: https://orcid.org/0009-0003-4785-3801, Wang, Q.-G. ORCID: https://orcid.org/0000-0002-3672-3716 and Yang, S.-H. ORCID: https://orcid.org/0000-0003-0717-5009 (2023) Partial and full detection of source terms. IEEE Transactions on Circuits and Systems II: Express Briefs. ISSN 1558-3791 doi: 10.1109/tcsii.2023.3311814

Abstract/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 paper 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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/113317
Identification Number/DOI	10.1109/tcsii.2023.3311814
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
Uncontrolled Keywords	Electrical and Electronic Engineering
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
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