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Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
Authors:  Geng, Yidan;  Song, Minghui;  Lu, Yulan;  Liu, Mingzhu
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Stochastic differential equations with piecewise continuous argument  local Lipschitz condition  Khasminskii-type condition  truncated Euler-Maruyama method  convergence and stability  
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
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Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
Extended State Filter Based Disturbance and Uncertainty Mitigation for Nonlinear Uncertain Systems With Application to Fuel Cell Temperature Control 期刊论文
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2020, 卷号: 67, 期号: 12, 页码: 10682-10692
Authors:  Xue, Wenchao;  Zhang, Xiaocheng;  Sun, Li;  Fang, Haitao
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Estimation  Stochastic processes  Uncertainty  Heuristic algorithms  Temperature control  Nonlinear systems  Stability analysis  Disturbance and uncertainty mitigation  nonlinear uncertain systems  extended state observer (ESO)  Kalman-Bucy filter (KBF)  proton exchange membrane fuel cell (PEMFC)  temperature control  
A scaling limit for the stochastic mSQG equations with multiplicative transport noises 期刊论文
STOCHASTICS AND DYNAMICS, 2020, 卷号: 20, 期号: 6, 页码: 21
Authors:  Luo, Dejun;  Saal, Martin
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Modified Surface Quasi-Geostrophic equation  transport noise  scaling limit  weak convergence  
3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
Authors:  Dong, Zhao;  Zhang, Rangrang
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Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:  Cui, Jianbo;  Hong, Jialin
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Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 85, 期号: 2, 页码: 27
Authors:  Archibald, Richard;  Bao, Feng;  Yong, Jiongmin;  Zhou, Tao
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Stochastic optimal control  Nonlinear filtering  Data driven  Maximum principle  Stochastic optimization  
Convergence of Self-Tuning Regulators under Conditional Heteroscedastic Noises with Unknown High-Frequency Gain 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 15
Authors:  Zhang, Yaqi;  Guo, Lei
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ARCH model  conditional heteroscedasticity  convergence  self-tuning regulator  weighted least-squares algorithm  
Mean field linear-quadratic control: Uniform stabilization and social optimality 期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 14
Authors:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
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Mean field game  Variational analysis  Stabilization control  FBSDE  Riccati equation  
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