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Characterizing the ...
Characterizing the Positive Semidefiniteness of Signed Laplacians via Effective Resistances
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- Chen, Wei (author)
- KTH,ACCESS Linnaeus Centre
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Liu, Ji (author)
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Chen, Yongxin (author)
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Khong, Sei Zhen (author)
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Wang, Dan (author)
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Basar, Tamer (author)
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Qiu, Li (author)
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- Johansson, Karl H. (author)
- KTH,Reglerteknik,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2016
- 2016
- English.
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In: 2016 IEEE 55th Conference on Decision and Control, CDC 2016. - : Institute of Electrical and Electronics Engineers (IEEE). - 9781509018376 ; , s. 985-990
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
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- A symmetric signed Laplacian matrix uniquely defines a resistive electrical circuit, where the negative weights correspond to negative resistances. The positive semidefiniteness of signed Laplacian matrices is studied in this paper using the concept of effective resistance. We show that a signed Laplacian matrix is positive semidefinite with a simple zero eigenvalue if, and only if, the underlying graph is connected, and a suitably defined effective resistance matrix is positive definite.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Publication and Content Type
- ref (subject category)
- kon (subject category)
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