Advances in Stabilization of Hybrid Stochastic Differential Equations by Delay Feedback Control

Junhao Hu; Wei Liu; Feiqi Deng; Xuerong Mao

doi:10.1137/19m1270240

Advances in Stabilization of Hybrid Stochastic Differential Equations by Delay Feedback Control

SIAM Journal on Control and Optimization ◽

10.1137/19m1270240 ◽

2020 ◽

Vol 58 (2) ◽

pp. 735-754 ◽

Cited By ~ 1

Author(s):

Junhao Hu ◽

Wei Liu ◽

Feiqi Deng ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Delay Feedback Control

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Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104645 ◽

2020 ◽

Vol 137 ◽

pp. 104645

Author(s):

Mingxuan Shen ◽

Chen Fei ◽

Weiyin Fei ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Highly Nonlinear ◽

Delay Feedback Control

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Stabilisation of hybrid stochastic differential equations by delay feedback control

Systems & Control Letters ◽

10.1016/j.sysconle.2008.05.002 ◽

2008 ◽

Vol 57 (11) ◽

pp. 927-935 ◽

Cited By ~ 81

Author(s):

Xuerong Mao ◽

James Lam ◽

Lirong Huang

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Delay Feedback Control

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Stabilisation in Distribution by Delay Feedback Control for Hybrid Stochastic Differential Equations

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3075177 ◽

2021 ◽

pp. 1-1

Author(s):

Surong You ◽

Liangjian Hu ◽

Jianqiu Lu ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Delay Feedback Control

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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019052 ◽

2019 ◽

Vol 24 (8) ◽

pp. 4099-4116 ◽

Cited By ~ 1

Author(s):

Zhenyu Lu ◽

◽

Junhao Hu ◽

Xuerong Mao ◽

◽

...

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Highly Nonlinear ◽

Delay Feedback Control ◽

Nonlinear Hybrid

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Stabilization of stochastic differential equations driven by G-Brownian motion with feedback control based on discrete-time state observation

Automatica ◽

10.1016/j.automatica.2018.05.039 ◽

2018 ◽

Vol 95 ◽

pp. 146-151 ◽

Cited By ~ 27

Author(s):

Yong Ren ◽

Wensheng Yin ◽

Rathinasamy Sakthivel

Keyword(s):

Brownian Motion ◽

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Discrete Time ◽

State Observation

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Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode

IET Control Theory and Applications ◽

10.1049/iet-cta.2016.0635 ◽

2017 ◽

Vol 11 (3) ◽

pp. 301-307 ◽

Cited By ~ 23

Author(s):

Gongfei Song ◽

Bo-Chao Zheng ◽

Qi Luo ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Discrete Time ◽

Discrete Time Observations

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Stabilization of stochastic differential equations driven by G-Lévy process with discrete-time feedback control

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020133 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Guangjun Shen ◽

◽

Xueying Wu ◽

Xiuwei Yin

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Discrete Time ◽

Lévy Process ◽

Levy Process

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Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay

Statistics & Probability Letters ◽

10.1016/j.spl.2016.03.024 ◽

2016 ◽

Vol 115 ◽

pp. 16-26 ◽

Cited By ~ 10

Author(s):

Qinwei Qiu ◽

Wei Liu ◽

Liangjian Hu ◽

Xuerong Mao ◽

Surong You

Keyword(s):

Time Delay ◽

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Discrete Time ◽

Markovian Switching ◽

State Observation

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Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2021.101026 ◽

2021 ◽

Vol 40 ◽

pp. 101026

Author(s):

Chunhui Mei ◽

Chen Fei ◽

Weiyin Fei ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Infinite Delay ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Highly Nonlinear ◽

Delay Feedback Control ◽

Functional Differential ◽

Stochastic Functional ◽

Nonlinear Hybrid

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Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021072 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Wensheng Yin ◽

Jinde Cao ◽

Guoqiang Zheng

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Delayed Feedback ◽

Delayed Feedback Control

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