2020
DOI: 10.1016/j.neucom.2020.04.107
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Optimal topology for consensus using genetic algorithm

Abstract: In the Multi-Agent Systems (MAS), graph network topologies play a crucial role in building consensus among the connected agents. Consensus may be achieved on many network graphs using distributed control theory. However, the optimal network topology is not addressed in most of the literature, which is an important part of building stable consensus among networked agents. In this paper, the optimal topology is obtained irrespective of the agent dynamics by using two-dimensional Genetic Algorithm (GA), which is … Show more

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Cited by 11 publications
(11 citation statements)
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References 29 publications
(30 reference statements)
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“…The solution to this problem can be obtained using a two-dimensional genetic algorithm. The chromosome of 2D-GA is a matrix which is appropriate to represent an adjacency matrix [20]. Therefore, in this paper, the adjacency matrix is considered as a chromosome.…”
Section: Solution Method: Two-dimensional Genetic Algorithm (2d-ga)mentioning
confidence: 99%
See 2 more Smart Citations
“…The solution to this problem can be obtained using a two-dimensional genetic algorithm. The chromosome of 2D-GA is a matrix which is appropriate to represent an adjacency matrix [20]. Therefore, in this paper, the adjacency matrix is considered as a chromosome.…”
Section: Solution Method: Two-dimensional Genetic Algorithm (2d-ga)mentioning
confidence: 99%
“…The optimal topology obtained is a star graph which shows the direct links between the leader and the followers. In [20], the authors presented the optimal topology problem and solved it using a Two-Dimensional Genetic Algorithm (2D-GA), which relaxes the requirement of direct connection among the leader and the followers. It is important to note that an increase in the number of agents in a MASs will result in an increase in the consensus control energy.…”
Section: Problem Descriptionmentioning
confidence: 99%
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“…The time table or schedule is considered as a 2D chromosome. Also, it is used to obtain optimal communication topology for consensus in [17], [18]. In the algorithm, the genes of the chromosomes are created in a random manner.…”
Section: A Two-dimensional Genetic Algorithm (2d-ga)mentioning
confidence: 99%
“…In [ 28 ], a genetic algorithm with a multidimensional chromosome is used to describe nodes belonging to multiple communities in dense overlapping communities. Another critical and new application of 2D-GA is found in [ 29 , 30 ]. The objective of this paper is to obtain an optimal communication topology to achieve consensus among agents such that the consensus control energy of the agents is minimized.…”
Section: Introductionmentioning
confidence: 99%