Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces
This paper proposes two Cucker-Smale-type flocking models by introducing both cohesive and repulsive forces to second-order multiagent systems. Under some mild conditions on the initial state of the flocking system, it is shown that the velocity consensus of the agents can be reached independent of...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/783279 |
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| _version_ | 1832559389320413184 |
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| author | Qiang Song Fang Liu Jinde Cao Jianlong Qiu |
| author_facet | Qiang Song Fang Liu Jinde Cao Jianlong Qiu |
| author_sort | Qiang Song |
| collection | DOAJ |
| description | This paper proposes two Cucker-Smale-type flocking models by introducing both cohesive and repulsive forces to second-order multiagent systems. Under some mild conditions on the initial state of the flocking system, it is shown that the velocity consensus of the agents can be reached independent of the parameter which describes the decay of communication rates. In particular, the collision between any two agents can always be avoided by designing an appropriate bounded repulsive function based on the initial energy of the flock. Numerical examples are given to demonstrate the effectiveness of the theoretical analysis. |
| format | Article |
| id | doaj-art-f7539d7a343642808e1f245c4d890474 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f7539d7a343642808e1f245c4d8904742025-02-03T01:30:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/783279783279Cucker-Smale Flocking with Bounded Cohesive and Repulsive ForcesQiang Song0Fang Liu1Jinde Cao2Jianlong Qiu3School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Information Engineering, Huanghuai University, Henan 463000, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Science, Linyi University, Linyi, Shandong 276005, ChinaThis paper proposes two Cucker-Smale-type flocking models by introducing both cohesive and repulsive forces to second-order multiagent systems. Under some mild conditions on the initial state of the flocking system, it is shown that the velocity consensus of the agents can be reached independent of the parameter which describes the decay of communication rates. In particular, the collision between any two agents can always be avoided by designing an appropriate bounded repulsive function based on the initial energy of the flock. Numerical examples are given to demonstrate the effectiveness of the theoretical analysis.http://dx.doi.org/10.1155/2013/783279 |
| spellingShingle | Qiang Song Fang Liu Jinde Cao Jianlong Qiu Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces Abstract and Applied Analysis |
| title | Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces |
| title_full | Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces |
| title_fullStr | Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces |
| title_full_unstemmed | Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces |
| title_short | Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces |
| title_sort | cucker smale flocking with bounded cohesive and repulsive forces |
| url | http://dx.doi.org/10.1155/2013/783279 |
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