Abstract | ||
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Chemical self-assembly has been considered one of the most important scientific problems in the 21st century; however, because the process of self-assembly is very complex, there is currently little mathematic theory describing it. Based on some assumptions of the classic hard sphere model, this paper presents a novel multi-agent system for chemical self-assembly that can be formulated as a group of stochastic differential equations. In consideration of this model, an existence and uniqueness theorem of the solution is presented. An optimal problem is proposed by taking the temperature as the control input and choosing the Hamiltonian as the optimal object, and a numerical solution for this optimal problem is also developed. Simulations show that the proposed control scheme can greatly improve the product of self-assembly. |
Year | DOI | Venue |
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2021 | 10.1016/j.automatica.2021.109563 | Automatica |
Keywords | DocType | Volume |
Self-assembly,Multi-agent systems,Optimal control,Noise | Journal | 129 |
Issue | ISSN | Citations |
1 | 0005-1098 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zheng Ning | 1 | 0 | 0.34 |
Ge Chen | 2 | 22 | 7.36 |