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

Zhenyu Lu;  ; Junhao Hu; Xuerong Mao;  ;

doi:10.3934/dcdsb.2019052

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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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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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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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 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 of highly nonlinear hybrid stochastic differential delay equations by delay feedback control

Automatica ◽

10.1016/j.automatica.2019.108657 ◽

2020 ◽

Vol 112 ◽

pp. 108657 ◽

Cited By ~ 2

Author(s):

Xiaoyue Li ◽

Xuerong Mao

Keyword(s):

Feedback Control ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations ◽

Highly Nonlinear ◽

Delay Feedback Control ◽

Nonlinear Hybrid

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STABILITY ANALYSIS OF HIGHLY NONLINEAR HYBRID MULTIPLE-DELAY STOCHASTIC DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20180257 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1053-1070

Author(s):

Chen Fei ◽

◽

Weiyin Fei ◽

Xuerong Mao ◽

Mingxuan Shen ◽

...

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Multiple Delay ◽

Highly Nonlinear ◽

Nonlinear Hybrid

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Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations

Systems & Control Letters ◽

10.1016/j.sysconle.2021.105041 ◽

2021 ◽

Vol 157 ◽

pp. 105041

Author(s):

Ruili Song ◽

Bo Wang ◽

Quanxin Zhu

Keyword(s):

Feedback Control ◽

Delay Equations ◽

Variable Delay ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations ◽

Highly Nonlinear ◽

Delay Feedback Control ◽

Nonlinear Hybrid

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Delay‐dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5275 ◽

2020 ◽

Vol 31 (1) ◽

pp. 250-267 ◽

Cited By ~ 1

Author(s):

Ruili Song ◽

Bo Wang ◽

Quanxin Zhu

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Multiple Delays ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Nonlinear Hybrid

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Stabilization by delay feedback control for highly nonlinear switched stochastic systems with time delays

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5434 ◽

2021 ◽

Author(s):

Ying Zhao ◽

Quanxin Zhu

Keyword(s):

Feedback Control ◽

Time Delays ◽

Stochastic Systems ◽

Switched Stochastic Systems ◽

Highly Nonlinear ◽

Delay Feedback Control

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