Minimum Laplacian Controllability Problem of Lobsters
The lobster graph is a typical air-air communication network for UAVs with dozens to hundreds of individuals. Due to the existence of multiple eigenvalues, it is difficult to find out their minimum set of leaders. A new concept named Minimum Perfect Critical Set(MPCS) is proposed to solve the minimu...
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Published in | 2022 41st Chinese Control Conference (CCC) pp. 4706 - 4710 |
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Main Author | |
Format | Conference Proceeding |
Language | English |
Published |
Technical Committee on Control Theory, Chinese Association of Automation
25.07.2022
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Subjects | |
Online Access | Get full text |
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Abstract | The lobster graph is a typical air-air communication network for UAVs with dozens to hundreds of individuals. Due to the existence of multiple eigenvalues, it is difficult to find out their minimum set of leaders. A new concept named Minimum Perfect Critical Set(MPCS) is proposed to solve the minimum Laplacian controllability problem. Some MPCSs are found for Lobsters. Based on these theories, an example shows that the minimum set of leaders can be found quickly. |
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AbstractList | The lobster graph is a typical air-air communication network for UAVs with dozens to hundreds of individuals. Due to the existence of multiple eigenvalues, it is difficult to find out their minimum set of leaders. A new concept named Minimum Perfect Critical Set(MPCS) is proposed to solve the minimum Laplacian controllability problem. Some MPCSs are found for Lobsters. Based on these theories, an example shows that the minimum set of leaders can be found quickly. |
Author | Dai, Li |
Author_xml | – sequence: 1 givenname: Li surname: Dai fullname: Dai, Li email: daili@nudt.edu.cn organization: National University of Defense Technology,Department of Mathematics,Changsha,P. R. China,410073 |
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Snippet | The lobster graph is a typical air-air communication network for UAVs with dozens to hundreds of individuals. Due to the existence of multiple eigenvalues, it... |
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StartPage | 4706 |
SubjectTerms | air-air communication network Communication networks Controllability Eigenvalues and eigenfunctions eigenvector Laplace equations Laplacian Controllability Lobster minimum set of leaders |
Title | Minimum Laplacian Controllability Problem of Lobsters |
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