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This article is cited in 1 scientific paper (total in 1 paper)
Computer science
Multi-cluster coordinated movement and dynamic reorganization
Zhiqing Dang, Yang Yu, Zhaopeng Dai, Long Zhang, Ang Su, Zhihang You, Hongwei Gao School of Mathematics and Statistics, Qingdao University, 266071, Qingdao, Shandong, China
Abstract:
This paper makes an attempt to apply the Hamilton formalism method to the numerical solutions of multi-cluster coordinated movement and dynamic reorganization problems. In order to ensure the smooth wireless information exchange, for each cluster, all members are located in a virtual (spherical or ellipsoidal) container during the entire movement process. First, virtual (spherical or ellipsoidal) container tube is constructed as the external state constraint of each cluster. Next, the corresponding value function is formulated based on the collision avoidance conditions and energy constraints in the process of the team motion. Finally, time dependent partial differential equations are established based on the Hamilton formalism, which could be solved numerically by using the finite difference method (FDM).
Key words:
optimal control, dynamic cluster reorganization, virtual trajectory, collision avoidance, Hamiltonian formalism, set-valued functions.
Received: 07.01.2022 Revised: 07.01.2022 Accepted: 07.07.2022
Citation:
Zhiqing Dang, Yang Yu, Zhaopeng Dai, Long Zhang, Ang Su, Zhihang You, Hongwei Gao, “Multi-cluster coordinated movement and dynamic reorganization”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1950–1940; Comput. Math. Math. Phys., 62:11 (2022), 1955–1970
Linking options:
https://www.mathnet.ru/eng/zvmmf11478 https://www.mathnet.ru/eng/zvmmf/v62/i11/p1950
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