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Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
Authors:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
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density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
Authors:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
Favorite  |  View/Download：57/0  |  Submit date：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 36
Authors:  Zhu, Rongchan;  Zhu, Xiangchan
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Phi(4)(3) model  Paracontrolled distributions  Weak universality  Space-time white noise  Renormalisation  
A note on log-log blow up solutions for stochastic nonlinear Schrodinger equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2021, 页码: 15
Authors:  Fan, Chenjie;  Su, Yiming;  Zhang, Deng
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Log-log blow up  NLS  Multiplicative noise  
A General Framework for Nonparametric Identification of Nonlinear Stochastic Systems 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 6, 页码: 2449-2464
Authors:  Zhao, Wenxiao;  Weyer, Erik;  Yin, George
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Convex optimization  nonlinear autoregressive systems with exogenous inputs (NARX)  nonparametric  identification  stochastic approximation  strong consistency  
A Novel Synchronization Protocol for Nonlinear Stochastic Dynamical Networked Systems 期刊论文
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 卷号: 51, 期号: 5, 页码: 2676-2686
Authors:  Gu, Haibo;  Wang, Xiong;  Liu, Kexin;  Lu, Jinhu
Favorite  |  View/Download：74/0  |  Submit date：2021/06/01
Synchronization  Protocols  Stochastic processes  Artificial neural networks  Adaptive systems  Perturbation methods  Complex dynamical network  Lyapunov function  networked system  stochastic perturbation  synchronization  
Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 7, 页码: 35
Authors:  Barbu, Viorel;  Roeckner, Michael
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Fokker-Planck equation  m-accretive  Measure as initial data  McKean-Vlasov stochastic differential equation  
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators 期刊论文
NATURE MACHINE INTELLIGENCE, 2021, 卷号: 3, 期号: 3, 页码: 218-+
Authors:  Lu, Lu;  Jin, Pengzhan;  Pang, Guofei;  Zhang, Zhongqiang;  Karniadakis, George Em
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A Novel Resilient Control Scheme for a Class of Markovian Jump Systems With Partially Unknown Information 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2021, 页码: 10
Authors:  Zhang, Kun;  Su, Rong;  Zhang, Huaguang
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Games  Process control  Markov processes  Game theory  Actuators  System dynamics  Heuristic algorithms  Adaptive dynamic programming  integral reinforcement learning (IRL)  resilient control  zero-sum game  
Backstepping Active Disturbance Rejection Control for Lower Triangular Nonlinear Systems With Mismatched Stochastic Disturbances 期刊论文
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 页码: 15
Authors:  Wu, Ze-Hao;  Deng, Feiqi;  Guo, Bao-Zhu;  Wu, Chufen;  Xiang, Qiaomin
Favorite  |  View/Download：39/0  |  Submit date：2022/04/02
Backstepping  Nonlinear systems  Observers  Real-time systems  Robust control  Attenuation  Stochastic systems  Active disturbance rejection control (ADRC)  backstepping control  extended state observer (ESO)  lower triangular nonlinear systems  mismatched bounded stochastic disturbances  output tracking