Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience
This paper considers a d-dimensional stochastic optimization problem in neuroscience. Suppose the arm’s movement trajectory is modeled by high-order linear stochastic differential dynamic system in d-dimensional space, the optimal trajectory, velocity, and variance are explicitly obtained by using s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/8730859 |
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| _version_ | 1832547273834233856 |
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| author | Yan Chen Yingchun Deng Shengjie Yue Chao Deng |
| author_facet | Yan Chen Yingchun Deng Shengjie Yue Chao Deng |
| author_sort | Yan Chen |
| collection | DOAJ |
| description | This paper considers a d-dimensional stochastic optimization problem in neuroscience. Suppose the arm’s movement trajectory is modeled by high-order linear stochastic differential dynamic system in d-dimensional space, the optimal trajectory, velocity, and variance are explicitly obtained by using stochastic control method, which allows us to analytically establish exact relationships between various quantities. Moreover, the optimal trajectory is almost a straight line for a reaching movement; the optimal velocity bell-shaped and the optimal variance are consistent with the experimental Fitts law; that is, the longer the time of a reaching movement, the higher the accuracy of arriving at the target position, and the results can be directly applied to designing a reaching movement performed by a robotic arm in a more general environment. |
| format | Article |
| id | doaj-art-257a641bcdce47ee9f7352cfb9f78167 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-257a641bcdce47ee9f7352cfb9f781672025-02-03T06:45:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/87308598730859Optimal Stochastic Control Problem for General Linear Dynamical Systems in NeuroscienceYan Chen0Yingchun Deng1Shengjie Yue2Chao Deng3Big Data Research Center, Hunan University of Commerce, Changsha 410205, ChinaKey Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaSchool of Business Administration, Hunan University, Changsha 410081, ChinaSchool of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaThis paper considers a d-dimensional stochastic optimization problem in neuroscience. Suppose the arm’s movement trajectory is modeled by high-order linear stochastic differential dynamic system in d-dimensional space, the optimal trajectory, velocity, and variance are explicitly obtained by using stochastic control method, which allows us to analytically establish exact relationships between various quantities. Moreover, the optimal trajectory is almost a straight line for a reaching movement; the optimal velocity bell-shaped and the optimal variance are consistent with the experimental Fitts law; that is, the longer the time of a reaching movement, the higher the accuracy of arriving at the target position, and the results can be directly applied to designing a reaching movement performed by a robotic arm in a more general environment.http://dx.doi.org/10.1155/2017/8730859 |
| spellingShingle | Yan Chen Yingchun Deng Shengjie Yue Chao Deng Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience Advances in Mathematical Physics |
| title | Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience |
| title_full | Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience |
| title_fullStr | Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience |
| title_full_unstemmed | Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience |
| title_short | Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience |
| title_sort | optimal stochastic control problem for general linear dynamical systems in neuroscience |
| url | http://dx.doi.org/10.1155/2017/8730859 |
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