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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:  Zhong, Ming;  Yan, Zhenya
Favorite  |  View/Download:84/0  |  Submit date:2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Output regulation for 1-D reaction-diffusion equation with a class of time-varying disturbances from exosystem 期刊论文
AUTOMATICA, 2022, 卷号: 141, 页码: 9
Authors:  Wei, Jing;  Guo, Bao-Zhu
Favorite  |  View/Download:67/0  |  Submit date:2023/02/07
Output regulation  Time-varying  State observer  Output feedback  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
Favorite  |  View/Download:139/0  |  Submit date:2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Surjective L-2-isometries on the Projection Lattice 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 页码: 10
Authors:  Wang, Li Guang;  Wu, Wen Ming;  Yuan, Wei
Favorite  |  View/Download:143/0  |  Submit date:2021/06/01
Wigner’  s theorem  L-2-isometries  projections  tracial weight  
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces 期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
Authors:  Lunardi, Alessandra;  Rockner, Michael
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A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
Favorite  |  View/Download:198/0  |  Submit date:2021/01/14
Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
A natural extension of Markov processes and applications to singular SDEs 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 4, 页码: 2480-2506
Authors:  Beznea, Lucian;  Cimpean, Iulian;  Rockner, Michael
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Stochastic differential equation on Hilbert spaces  Stochastic PDE  Martingale problem  Not allowed starting point  Girsanov transform  Nonregular drift  Dirichlet form  Right process  Fine topology  
Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2020, 页码: 31
Authors:  Gordina, Maria;  Roeckner, Michael;  Teplyaev, Alexander
Favorite  |  View/Download:159/0  |  Submit date:2020/09/23
Ornstein-Uhlenbeck process  Singular perturbation  Nonlinear infinite-dimensional stochastic differential equations  Non-Lipschitz monotone coefficients  Girsanov theorem  
Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems 期刊论文
NONLINEAR DYNAMICS, 2020, 页码: 25
Authors:  Wu, Ze-Hao;  Zhou, Hua-Cheng;  Guo, Bao-Zhu;  Deng, Feiqi
Favorite  |  View/Download:192/0  |  Submit date:2020/09/23
Active disturbance rejection control  Extended state observer  Boundary control  Disturbance  Stochastic systems  Infinite-dimensional systems  Fractional-order PDE  
Robust error based non-collocated output tracking control for a heat equation 期刊论文
AUTOMATICA, 2020, 卷号: 114, 页码: 11
Authors:  Guo, Bao-Zhu;  Meng, Tingting
Favorite  |  View/Download:174/0  |  Submit date:2020/05/24
Internal model principle  Observer design  Output tracking  Disturbance rejection