Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 358, Issue 13, Pages 6759-6774Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2021.07.008
Keywords
-
Categories
Funding
- National Natural Science Foundation of China [61925303, 62088101, U20B2073, 61720106011]
- National Key RAMP
- D Program of China [2018YFB1700100]
Ask authors/readers for more resources
This paper investigates the identification of the interaction geometry of a set of agents aiming to achieve consensus. By classifying agents into subsets and introducing input and output agents, a relationship between the transfer function matrix and parameter identifiability is established, with solutions proposed for two specific cases.
This paper investigates the problem of identifying the interaction geometry of a set of agents, whose collective goal are to achieve consensus under an agreement protocol. By classifying agents into different subsets based on their behavior, as well as introducing the so-called input and output agents, a relationship between the transfer function matrix and the identifiability of system parameters is established. Specifically, two cases are considered. If the set of input agents coincides with the set of output agents, the number of edges in the input agent set, in the complement of input agent set, and between these two sets can be uniquely identified. Thus, the search space of feasible graphs becomes much smaller. The problem can be solved in polynomial time, and an algorithm is provided. Moreover, if all the agents in the system are output agents, parameters of the system can be uniquely identified, and an algebraic method is given to exactly recover the graph topology. A numerical example illustrates the effectiveness of the proposed algorithm. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available