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Convergence analysis of the maximum principle preserving BDF2 scheme with variable time-steps for the space fractional Allen–Cahn equation
Journal article
Journal of Computational and Applied Mathematics,2024, volume: 448
Authors:
Hu, Bingqing
;
Zhang, Wei
;
Zhao, Xuan
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View/Download:5/0
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Submit date:2024/11/04
Adaptive time-stepping strategy
Convergence
Modified discrete energy
Space fractional Allen–Cahn equation
Variable-step BDF2
Discrete-Time Adaptive Fuzzy Command Filtered Backstepping Control for Quadrotor Unmanned Aerial Vehicle Systems: Theory and Experiments
Journal article
IEEE Transactions on Fuzzy Systems,2024, volume: 32, issue: 6, pages: 3618-3628
Authors:
Zhao, Yang
;
Zhao, Lin
;
Yu, Jinpeng
;
Wang, Qing Guo
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View/Download:5/0
  |  
Submit date:2024/09/04
Adaptive fuzzy control
command filtered backstepping (CFB)
discrete-time nonlinear system
unmanned aerial vehicle (UAV)
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model
Journal article
Applied Mathematics Letters,2024, volume: 149
Authors:
Qi, Ren jun
;
Zhang, Wei
;
Zhao, Xuan
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View/Download:4/0
  |  
Submit date:2024/03/12
Adaptive time strategy
Discrete energy dissipation law
Nonuniform L1+ formula
Scalar auxiliary variable
Time fractional Cahn–Hilliard model
Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators
Journal article
Science China Mathematics,2024, volume: 67, issue: 2, pages: 237-252
Authors:
Liao, Hong Lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:13/0
  |  
Submit date:2024/03/12
65M06
65M12
74A50
complementary convolution kernels
discrete convolution kernels
orthogonal convolution kernels
positive definiteness
variable time-stepping
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations
Journal article
BIT Numerical Mathematics,2023, volume: 63, issue: 3
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:12/0
  |  
Submit date:2023/09/21
Discrete gradient structure
Discrete orthogonal convolution kernels
Stability and convergence
Time filtered backward Euler
Adaptive Neural Networks Command Filtered Control for MIMO Nonlinear Discrete-Time Systems With Input Constraint
Journal article
IEEE Transactions on Circuits and Systems II: Express Briefs,2023, volume: 70, issue: 2, pages: 581-585
Authors:
Xu, Yumeng
;
Liu, Jiapeng
;
Yu, Jinpeng
;
Wang, Qingguo
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View/Download:6/0
  |  
Submit date:2023/04/18
command filtered backstepping
discrete-time
input constraint
MIMO nonlinear systems
RBF NNs
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
Journal article
Journal of Computational Physics,2020, volume: 414
Authors:
Liao, Hong lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:79/0
  |  
Submit date:2021/04/23
Adaptive time-stepping strategy
Alikhanov formula
Discrete maximum principle
Sharp error estimate
Time-fractional Allen-Cahn equation
Control design with guaranteed transient performance: An approach with polyhedral target tubes
Journal article
Automatica,2020, volume: 119
Authors:
Esterhuizen, Willem
;
Wang, Qingguo
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View/Download:13/0
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Submit date:2021/05/13
Transient analysis
Constraints
Discrete-time systems
Control system design
Regularization and Stabilization for Rectangular T-S Fuzzy Discrete-Time Systems with Time Delay
Journal article
IEEE Transactions on Systems, Man, and Cybernetics: Systems,2019, volume: 49, issue: 4, pages: 833-842
Authors:
Chen, Jian
;
Lin, Chong
;
Chen, Bing
;
Wang, Qingguo
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View/Download:5/0
  |  
Submit date:2021/07/14
Admissibility
discrete-time system
dynamic compensation
T-S fuzzy model
time-delay
Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
Journal article
Communications in Computational Physics,2018, volume: 24, issue: 1, pages: 86-103
Authors:
Li, Dongfang
;
Liao, Honglin
;
Sun, Weiwei
;
Wang, Jilu
;
Zhang, Jiwei
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  |  
View/Download:2/0
  |  
Submit date:2021/09/17
Time-fractional nonlinear parabolic problems
L1-Galerkin FEMs
Error estimates
discrete fractional Gronwall type inequality
Linearized schemes