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Model-Free Reinforcement Learning by Embedding an Auxiliary System for Optimal Control of Nonlinear Systems 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 卷号: 33, 期号: 4, 页码: 1520-1534
作者:  Xu, Zhenhui;  Shen, Tielong;  Cheng, Daizhan
收藏  |  浏览/下载：85/0  |  提交时间：2022/06/21
Mathematical model  Trajectory  Heuristic algorithms  Optimal control  System dynamics  Artificial neural networks  Convergence  Approximate optimal control design  auxiliary trajectory  completely model-free  integral reinforcement learning (IRL)  
EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE 期刊论文
DUKE MATHEMATICAL JOURNAL, 2021, 卷号: 170, 期号: 14, 页码: 3110-3235
作者:  Shen, Xu;  Yu, Chia-Fu;  Zhang, Chao
收藏  |  浏览/下载：92/0  |  提交时间：2022/04/02
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 27
作者:  Shen, Jie;  Xu, Jie
收藏  |  浏览/下载：119/0  |  提交时间：2021/10/26
65M12  35K61  35K55  65Z05  70F99  
Neural Network-Based Model-Free Learning Approach for Approximate Optimal Control of Nonlinear Systems 期刊论文
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2021, 卷号: E104A, 期号: 2, 页码: 532-541
作者:  Xu, Zhenhui;  Shen, Tielong;  Cheng, Daizhan
收藏  |  浏览/下载：121/0  |  提交时间：2021/10/26
infinite-time horizon  approximate optimal control design  completely model-free  neural network  
Quantitative estimates in reiterated homogenization 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 11, 页码: 39
作者:  Niu, Weisheng;  Shen, Zhongwei;  Xu, Yao
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Reiterated homogenization  Convergence rates  Large-scale regularity estimates  
Equivalence-Based Model of Dimension-Varying Linear Systems 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 卷号: 65, 期号: 12, 页码: 5444-5449
作者:  Cheng, Daizhan;  Xu, Zhenhui;  Shen, Tielong
收藏  |  浏览/下载：131/0  |  提交时间：2021/04/26
Aerospace electronics  Linear systems  Dynamical systems  Extraterrestrial measurements  Control systems  Vehicle dynamics  Dimension-free state space  dimension-varying linear (control) system  S-system  
A Self-test Prediction Model to Determine the Probability Risk of Non-alcoholic Fatty Liver Disease 期刊论文
BIOMEDICAL AND ENVIRONMENTAL SCIENCES, 2020, 卷号: 33, 期号: 11, 页码: 857-861
作者:  Li Qiang;  Shen Qun Lun;  Xu Chao Nan;  Li Ming Liang;  Ma Zhi Min;  Zhang Shan;  Chen Shuo;  Zhang Min Ying;  Zhang Jing Bo;  Liu Feng;  Yang Xing Hua
收藏  |  浏览/下载：146/0  |  提交时间：2021/04/26
On Some Generalized Rapoport-Zink Spaces 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2020, 卷号: 72, 期号: 5, 页码: 1111-1187
作者:  Shen, Xu
收藏  |  浏览/下载：104/0  |  提交时间：2021/01/14
Rapoport-Zink space  shtuka  Shimura variety  K3 surface  
Generalised semi-tensor product of matrices 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2020, 卷号: 14, 期号: 1, 页码: 85-95
作者:  Cheng, Daizhan;  Liu, Zequn;  Xu, Zhenhui;  Shen, Tielong
收藏  |  浏览/下载：166/0  |  提交时间：2020/05/24
vectors  tensors  matrix algebra  group theory  linear S-system  dynamic linear system  matrix multiplier  vector multiplier two kinds  matrix-vector STPs  standard STP  consistent MM-STP  MV-STP  cross-dimensional linear system  linear semigroup system  quotient matrix space  quotient vector space  S-system structure  quotient vector spaces  inner-product  cross-dimensional state space  matrix-matrix STPs  generalised semitensor product  
An alternating minimization method for robust principal component analysis 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 6, 页码: 1251-1276
作者:  Shen, Yuan;  Xu, Hongyu;  Liu, Xin
收藏  |  浏览/下载：187/0  |  提交时间：2020/01/10
Robust principal component analysis  symmetric low rank product minimization  singular value decomposition  alternating minimization