| Presentation | 2018-01-26 Equilibrium Point Analysis of a Truly Decentralized Discrete-Time Algorithm for Algebraic Connectivity Estimation Kento Endo, Norikazu Takahashi, Sang-Gu Lee, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The second smallest eigenvalue of the Laplacian matrix of a network, also known as the algebraic connectivity, is an index representing how well the network is connected. Recently, the authors of this report proposed a truly decentralized algorithm for agents in a network to estimate the algebraic connectivity, and confirmed the validity through numerical experiments. In this report, we derive all equilibrium points of the algorithm and analyze the local stability of each equilibrium point theoretically. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multiagent network / algebraic connectivity / discrete-time algorithm / equilibrium point / stability |
| Paper # | NLP2017-89 |
| Date of Issue | 2018-01-19 (NLP) |
| Conference Information | |
| Committee | MBE / NC / NLP |
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| Conference Date | 2018/1/26(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyushu Institute of Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | ME, generalImplementation of Neuro Computing,Analysis and Modeling of Human Science, |
| Chair | Kazuki Nakajima(Univ. of Toyama) / Masafumi Hagiwara(Keio Univ.) / Masaharu Adachi(Tokyo Denki Univ.) |
| Vice Chair | Masaki Kyoso(TCU) / Yutaka Hirata(Chubu Univ.) / Norikazu Takahashi(Okayama Univ.) |
| Secretary | Masaki Kyoso(Toyama Pref. Univ.) / Yutaka Hirata(Kindai Univ.) / Norikazu Takahashi(Tokyo Inst. of Tech.) |
| Assistant | Kim Juhyon(Univ. of Toyama) / Takumi Kobayashi(YNU) / Yoshihisa Shinozawa(Keio Univ.) / Keiichiro Inagaki(Chubu Univ.) / Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Equilibrium Point Analysis of a Truly Decentralized Discrete-Time Algorithm for Algebraic Connectivity Estimation |
| Sub Title (in English) | |
| Keyword(1) | multiagent network |
| Keyword(2) | algebraic connectivity |
| Keyword(3) | discrete-time algorithm |
| Keyword(4) | equilibrium point |
| Keyword(5) | stability |
| 1st Author's Name | Kento Endo |
| 1st Author's Affiliation | Okayama University(Okayama Univ.) |
| 2nd Author's Name | Norikazu Takahashi |
| 2nd Author's Affiliation | Okayama University(Okayama Univ.) |
| 3rd Author's Name | Sang-Gu Lee |
| 3rd Author's Affiliation | Sungkyunkwan University(Sungkyunkwan Univ.) |
| Date | 2018-01-26 |
| Paper # | NLP2017-89 |
| Volume (vol) | vol.117 |
| Number (no) | NLP-415 |
| Page | pp.pp.17-22(NLP), |
| #Pages | 6 |
| Date of Issue | 2018-01-19 (NLP) |