非对称型Cucker-Smale模型的渐近集群
对一类具有非对称关联函数的Cucker-Smale模型的渐近集群进行了研究,得到了此类非均匀分布的多粒子群形成渐近集群的充分条件.基于Lyapunov稳定性理论构造能量函数,证明了系统最大位移差的有界性,然后结合Barbalat引理,证明了当时间趋于无穷时速度将会达到一致.最后通过数值仿真验证了理论分析的有效性....
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| Veröffentlicht in: | 衡阳师范学院学报 2022-06, Vol.43 (3), p.144-148 |
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| container_title | 衡阳师范学院学报 |
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| creator | 谢璇 肖其珍 刘宏亮 肖宏琪 徐兴海 周晨昕 |
| description | 对一类具有非对称关联函数的Cucker-Smale模型的渐近集群进行了研究,得到了此类非均匀分布的多粒子群形成渐近集群的充分条件.基于Lyapunov稳定性理论构造能量函数,证明了系统最大位移差的有界性,然后结合Barbalat引理,证明了当时间趋于无穷时速度将会达到一致.最后通过数值仿真验证了理论分析的有效性. |
| doi_str_mv | 10.3969/j.issn.1673-0313.2022.03.020 |
| format | Article |
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| issn | 1673-0313 |
| language | chi |
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| source | 国家哲学社会科学学术期刊数据库 (National Social Sciences Database) |
| title | 非对称型Cucker-Smale模型的渐近集群 |
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