Sökning: id:"swepub:oai:DiVA.org:kth-295393" >
On Spectral Propert...
On Spectral Properties of Signed Laplacians With Connections to Eventual Positivity
-
- Chen, Wei (författare)
- Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China.;Peking Univ, Beijing Innovat Ctr Engn Sci & Adv Technol, Beijing 100871, Peoples R China.
-
- Wang, Dan (författare)
- Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Kowloon, Hong Kong, Peoples R China.
-
- Liu, Ji (författare)
- SUNY Stony Brook, Dept Elect & Comp Engn, Stony Brook, NY 11794 USA.
-
visa fler...
-
- Chen, Yongxin (författare)
- Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA.
-
- Khong, Sei Zhen (författare)
- Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic, Australia.;Lund Univ, Dept Automat Control, Lund, Sweden.;Univ Minnesota Twin Cities, Inst Math & Its Applicat, Minneapolis, MN USA.;Univ Hong Kong, Dept Elect & Elect Engn, Hong Kong, Peoples R China.
-
- Basar, Tamer (författare)
- Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA.
-
- Johansson, Karl H., 1967- (författare)
- KTH,Reglerteknik
-
- Qiu, Li (författare)
- Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Kowloon, Hong Kong, Peoples R China.
-
visa färre...
-
Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China;Peking Univ, Beijing Innovat Ctr Engn Sci & Adv Technol, Beijing 100871, Peoples R China. Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Kowloon, Hong Kong, Peoples R China. (creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2021
- 2021
- Engelska.
-
Ingår i: IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9286 .- 1558-2523. ; 66:5, s. 2177-2190
- Relaterad länk:
-
https://urn.kb.se/re...
-
visa fler...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- Signed graphs have appeared in a broad variety of applications, ranging from social networks to biological networks, from distributed control and computation to power systems. In this article, we investigate spectral properties of signed Laplacians for undirected signed graphs. We find conditions on the negative weights under which a signed Laplacian is positive semidefinite via the Kron reduction and multiport network theory. For signed Laplacians that are indefinite, we characterize their inertias with the same framework. Furthermore, we build connections between signed Laplacians, generalized M-matrices, and eventually exponentially positive matrices.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- n-port network
- eventual positivity
- signed Laplacians
- spectral properties
- Kron reduction
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas