Optimal consensus control of the Cucker-Smale model
We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth p...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2018
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| _version_ | 1826284519471185920 |
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| author | Bailo, R Bongini, M Carrillo de la Plata, JA Kalise, D |
| author_facet | Bailo, R Bongini, M Carrillo de la Plata, JA Kalise, D |
| author_sort | Bailo, R |
| collection | OXFORD |
| description | We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth l1-norm control penalisations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach. |
| first_indexed | 2024-03-07T01:15:03Z |
| format | Journal article |
| id | oxford-uuid:8e60b04b-aef3-4a4e-8e62-115e9eb71d31 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:15:03Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:8e60b04b-aef3-4a4e-8e62-115e9eb71d312022-03-26T22:57:15ZOptimal consensus control of the Cucker-Smale modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8e60b04b-aef3-4a4e-8e62-115e9eb71d31EnglishSymplectic ElementsElsevier2018Bailo, RBongini, MCarrillo de la Plata, JAKalise, DWe study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth l1-norm control penalisations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach. |
| spellingShingle | Bailo, R Bongini, M Carrillo de la Plata, JA Kalise, D Optimal consensus control of the Cucker-Smale model |
| title | Optimal consensus control of the Cucker-Smale model |
| title_full | Optimal consensus control of the Cucker-Smale model |
| title_fullStr | Optimal consensus control of the Cucker-Smale model |
| title_full_unstemmed | Optimal consensus control of the Cucker-Smale model |
| title_short | Optimal consensus control of the Cucker-Smale model |
| title_sort | optimal consensus control of the cucker smale model |
| work_keys_str_mv | AT bailor optimalconsensuscontrolofthecuckersmalemodel AT bonginim optimalconsensuscontrolofthecuckersmalemodel AT carrillodelaplataja optimalconsensuscontrolofthecuckersmalemodel AT kalised optimalconsensuscontrolofthecuckersmalemodel |