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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
Favorite  |  View/Download:0/0  |  Submit date:2021/01/14
Stochastic differential equations with piecewise continuous argument  local Lipschitz condition  Khasminskii-type condition  truncated Euler-Maruyama method  convergence and stability  
Adaptive distributed optimization algorithms for Euler-Lagrange systems 期刊论文
AUTOMATICA, 2020, 卷号: 119, 页码: 7
Authors:  Zou, Yao;  Meng, Ziyang;  Hong, Yiguang
Favorite  |  View/Download:10/0  |  Submit date:2020/09/23
Distributed algorithm  Distributed optimization  Euler-Lagrange system  Gain adaptation  
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 6, 页码: 2910-2948
Authors:  Liu, Wei;  Roeckner, Michael;  Sun, Xiaobin;  Xie, Yingchao
Favorite  |  View/Download:8/0  |  Submit date:2020/05/24
Averaging principle  Local Lipschitz  Time-dependent  Strong convergence  Stochastic differential equations  
Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
Authors:  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download:11/0  |  Submit date:2020/05/24
Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem  
Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2018, 卷号: 48, 期号: 11, 页码: 3116-3125
Authors:  Deng, Zhenhua;  Liang, Shu;  Hong, Yiguang
Favorite  |  View/Download:34/0  |  Submit date:2018/11/16
Distributed optimization  multiagent systems  nonsmooth analysis  projected dynamical systems  resource allocation  weight-balanced digraphs  
Distributed Continuous-Time Algorithms for Resource Allocation Problems Over Weight-Balanced Digraphs 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2018, 卷号: 48, 期号: 11, 页码: 3116-3125
Authors:  Deng, Zhenhua;  Liang, Shu;  Hong, Yiguang
Favorite  |  View/Download:20/0  |  Submit date:2019/10/28
Distributed optimization  multiagent systems  nonsmooth analysis  projected dynamical systems  resource allocation  weight-balanced digraphs  
DISTRIBUTED EVENT-TRIGGERED ALGORITHM FOR OPTIMAL RESOURCE ALLOCATION OF MULTI-AGENT SYSTEMS 期刊论文
KYBERNETIKA, 2017, 卷号: 53, 期号: 5, 页码: 747-764
Authors:  Yu, Weiyong;  Deng, Zhenhua;  Zhou, Hongbing;  Zeng, Xianlin
Favorite  |  View/Download:16/0  |  Submit date:2018/07/30
distributed optimization  event-triggered strategy  multi-agent systems  resource allocation  
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 卷号: 146, 期号: 6, 页码: 1303-1328
Authors:  Zong, Xiaofeng;  Wu, Fuke;  Huang, Chengming
Favorite  |  View/Download:10/0  |  Submit date:2018/07/30
hybrid SDEs  moment exponential stability  Markov chain  Euler-Maruyama approximation  backward Euler-Maruyama approximation  split-step backward Euler-Maruyama approximation  
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5074-5114
Authors:  Fanelli, Francesco;  Liao, Xian
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces 期刊论文
ASYMPTOTIC ANALYSIS, 2015, 卷号: 93, 期号: 1-2, 页码: 115-140
Authors:  Fanelli, Francesco;  Liao, Xian
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
zero-Mach number system  well-posedness  Besov spaces  Chemin-Lerner spaces  continuation criterion  lifespan