@inproceedings{1bec9d63198c419987a4e7459b133852,
title = "Algebraic criteria for consensus problems of signed directed networks",
abstract = "This paper proposes some algebraic criteria for consensus problems and structure of signed networks whose interactions among agents are denoted by singed digraphs. Firstly, we develop a new method to obtain the left eigenvector of the Laplacian matrix associated with zero eigenvalue. With the left eigenvector, auxiliary vector is constructed and correlated with the connectivity of signed digraph. Finally, sufficient and necessary algebraic criteria for consensus problems and structure of signed graphs are provided based on auxiliary vector. Numerical instances are presented to verify the theoretical results.",
keywords = "Algebraic criteria, Auxiliary vector, Consensus problems, Left eigenvector, Signed digraph",
author = "Mingjun Du and Baoli Ma and Wenjing Xie",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Singapore Pte Ltd.; Chinese Intelligent Systems Conference, CISC 2017 ; Conference date: 14-10-2017 Through 15-10-2017",
year = "2018",
doi = "10.1007/978-981-10-6496-8\_42",
language = "英语",
isbn = "9789811064951",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Verlag",
pages = "451--460",
editor = "Junping Du and Weicun Zhang and Yingmin Jia",
booktitle = "Proceedings of 2017 Chinese Intelligent Systems Conference",
address = "德国",
}