Input design for the optimal control of networked moments
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909169970315264 |
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| author | Solimine, Philip Meyer-Baese, Anke |
| author_facet | Solimine, Philip Meyer-Baese, Anke |
| contents | We study the optimal control of the mean and variance of the network state vector. We develop an algorithm that uses projected gradient descent to optimize the control input placement, subject to constraints on the state that must be achieved at a given time threshold; seeking to design an input that moves the moment at minimum cost. First, we solve the state-selection problem for a number of variants of the first and second moment, and find solutions related to the eigenvalues of the systems' Gramian matrices. We then nest this state selection into projected gradient descent to design optimal inputs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_05265 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Input design for the optimal control of networked moments Solimine, Philip Meyer-Baese, Anke Optimization and Control Social and Information Networks Systems and Control 49M99, 93B05, 93B70, 90C99 We study the optimal control of the mean and variance of the network state vector. We develop an algorithm that uses projected gradient descent to optimize the control input placement, subject to constraints on the state that must be achieved at a given time threshold; seeking to design an input that moves the moment at minimum cost. First, we solve the state-selection problem for a number of variants of the first and second moment, and find solutions related to the eigenvalues of the systems' Gramian matrices. We then nest this state selection into projected gradient descent to design optimal inputs. |
| title | Input design for the optimal control of networked moments |
| topic | Optimization and Control Social and Information Networks Systems and Control 49M99, 93B05, 93B70, 90C99 |
| url | https://arxiv.org/abs/2106.05265 |