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International Journal of Systems Science Volume 50, 2019 - Issue 7
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Articles

Mean square finite-time boundary stabilisation and H∞ boundary control for stochastic reaction-diffusion systems

Xiao-Zhen LiuDepartment of Mathematics, Harbin Institute of Technology, Weihai, People's Republic of ChinaView further author information
,
Kai-Ning WuDepartment of Mathematics, Harbin Institute of Technology, Weihai, People's Republic of ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-4122-9832View further author information
ORCID Icon &
Weihai ZhangCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, People's Republic of ChinaView further author information
Pages 1388-1398 | Received 29 Jun 2018, Accepted 29 Apr 2019, Published online: 11 May 2019

Citations (13)

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Read on this site (3)

Wei-Jie Zhou, Min Long, Xiao-Zhen Liu & Kai-Ning Wu. (2023) Passivity-based boundary control for stochastic delay reaction–diffusion systems. International Journal of Systems Science 54:1, pages 124-135.
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Yixuan Li & Yong Ren. (2022) Stability for stochastic reaction–diffusion systems driven by G-Brownian motion. International Journal of Control 95:7, pages 1913-1921.
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Guoyan Cao, Karolos M. Grigoriadis & Puchen Liu. (2021) Control synthesis of reaction–diffusion systems with varying parameters and varying delays. International Journal of Systems Science 52:16, pages 3451-3465.
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Articles from other publishers (10)

Shuang Liang & Kai‐Ning Wu. (2024) Passivity‐based boundary control for stochastic Korteweg–de Vries–Burgers equations. Mathematical Methods in the Applied Sciences.
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Xiaofang Hu, Feida Song & Leimin Wang. (2023) Robust Finite-Time Stabilization of Stochastic Parabolic PDE Systems via Non-Fragile Spatial Sampled-Data Control. Robust Finite-Time Stabilization of Stochastic Parabolic PDE Systems via Non-Fragile Spatial Sampled-Data Control.
V. Gokulakrishnan & R. Srinivasan. (2023) Exponential input-to-state stabilization of stochastic nonlinear reaction–diffusion systems with time-varying delays and exogenous disturbances via boundary control. Computational and Applied Mathematics 42:7.
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Xiao-Zhen Liu, Kai-Ning Wu, Xiaohua Ding & Weihai Zhang. (2022) Boundary Stabilization of Stochastic Delayed Cohen–Grossberg Neural Networks With Diffusion Terms. IEEE Transactions on Neural Networks and Learning Systems 33:8, pages 3227-3237.
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Kai-Ning Wu, Wei-Jie Zhou & Xiao-Zhen Liu. (2022) Passivity-based boundary control for delay reaction-diffusion systems. Journal of the Franklin Institute 359:9, pages 4074-4096.
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Ahmed S. Hendy, Mahmoud A. Zaky & Rob H. De Staelen. (2021) A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay. Applied Numerical Mathematics 169, pages 108-121.
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Xiao-Zhen Liu, Kai-Ning Wu & Weihai Zhang. (2020) Intermittent boundary stabilization of stochastic reaction–diffusion Cohen–Grossberg neural networks. Neural Networks 131, pages 1-13.
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Kai-Ning Wu, Yun-Zhu Wang & Zhen Wang. (2020) Spatial sampled-data control for stochastic reaction-diffusion systems. Journal of the Franklin Institute 357:17, pages 12538-12554.
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Xin-Xin Han, Kai-Ning Wu & Xiaohua Ding. (2020) Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control. Applied Mathematics and Computation 385, pages 125422.
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Kai-Ning Wu, Meng-Zhen Ren & Xiao-Zhen Liu. (2020) Exponential input-to-state stability of stochastic delay reaction–diffusion neural networks. Neurocomputing 412, pages 399-405.
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