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  • Xuerong Mao

Advances in stabilisation of hybrid stochastic differential equations by delay feedback control

Hu, J., Liu, W., Deng, F. & Mao, X., 27 Dec 2019, (Accepted/In press) In : SIAM Journal on Control and Optimization. 21 p.

Research output: Contribution to journalArticle

Open Access
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2 Downloads (Pure)

Advances in the LaSalle-type theorems for stochastic functional differential equations with infinite delay

Wang, Y., Wu, F., Mao, X. & Zhu, E., 31 Jan 2020, In : Discrete and Continuous Dynamical Systems - Series B. 25, 1, p. 287-300 14 p.

Research output: Contribution to journalArticle

Advances in the truncated Euler-Maruyama method for stochastic differential delay equations

Fei, W., Hu, L., Mao, X. & Xia, D., 30 Apr 2020, In : Communications on Pure and Applied Analysis. 19, 4, p. 2081-2100 20 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Almost sure exponential stability of hybrid stochastic functional differential equations

Song, M. & Mao, X., 15 Feb 2018, In : Journal of Mathematical Analysis and Applications. 458, 2, p. 1390-1408 19 p.

Research output: Contribution to journalArticle

Open Access
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6 Citations (Scopus)
29 Downloads (Pure)

Almost sure exponential stability of stochastic differential delay equations

Guo, Q., Mao, X. & Yue, R., 27 Jul 2016, In : SIAM Journal on Control and Optimization. 54, 4, p. 1919-1933 15 p.

Research output: Contribution to journalArticle

Open Access
File
24 Citations (Scopus)
175 Downloads (Pure)

Almost sure exponential stabilization by discrete-time stochastic feedback control

Mao, X., 1 Jun 2016, In : IEEE Transactions on Automatic Control. 61, 6, p. 1619-1624 6 p.

Research output: Contribution to journalArticle

Open Access
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34 Citations (Scopus)
474 Downloads (Pure)
Open Access
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6 Citations (Scopus)
72 Downloads (Pure)
Open Access
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3 Downloads (Pure)
Open Access
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9 Citations (Scopus)
8 Downloads (Pure)
Open Access
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2 Citations (Scopus)
7 Downloads (Pure)

An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure

Mao, W. & Mao, X., 15 Mar 2016, In : Advances in Difference Equations. 2016, 1, 18 p., 77.

Research output: Contribution to journalArticle

Open Access
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3 Citations (Scopus)
29 Downloads (Pure)

A note on the partially truncated Euler–Maruyama method

Guo, Q., Liu, W. & Mao, X., 31 Aug 2018, In : Applied Numerical Mathematics. 130, p. 157-170 14 p.

Research output: Contribution to journalArticle

Open Access
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5 Citations (Scopus)
14 Downloads (Pure)

Approximate solutions for a class of doubly perturbed stochastic differential equations

Mao, W., Hu, L. & Mao, X., 24 Jan 2018, In : Advances in Difference Equations. 2018, 1, 17 p.

Research output: Contribution to journalArticle

Open Access
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4 Citations (Scopus)
9 Downloads (Pure)
Open Access
File
1 Citation (Scopus)
119 Downloads (Pure)

A stochastic differential equation SIS epidemic model with two correlated Brownian motions

Cai, S., Cai, Y. & Mao, X., 30 Sep 2019, In : Nonlinear Dynamics. 97, 4, p. 2175-2187 13 p.

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
12 Downloads (Pure)

A stochastic differential equation SIS epidemic model with two independent Brownian motions

Cai, S., Cai, Y. & Mao, X., 15 Jun 2019, In : Journal of Mathematical Analysis and Applications. 474, 2, p. 1536-1550 15 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
5 Downloads (Pure)
Open Access
File
7 Downloads (Pure)

Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching

Feng, L., Li, S. & Mao, X., 18 Sep 2016, (Accepted/In press) In : Journal of the Franklin Institute.

Research output: Contribution to journalArticle

Open Access
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16 Downloads (Pure)

Asymptotic stabilization of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations

Dong, R. & Mao, X., 17 Nov 2019, (Accepted/In press) In : Mathematical Control and Related Files. 20 p.

Research output: Contribution to journalArticle

Open Access
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2 Citations (Scopus)
1 Downloads (Pure)

Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays

Shen, M., Fei, C., Fei, W. & Mao, X., 14 Jan 2019, (Accepted/In press) In : Science in China Series F - Information Sciences. 16 p.

Research output: Contribution to journalArticle

Open Access
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2 Downloads (Pure)

Convergence of the split-step θ-method for stochastic age-dependent population equations with Markovian switching and variable delay

Deng, S., Fei, W., Liang, Y. & Mao, X., 2 Jan 2019, (Accepted/In press) In : Applied Numerical Mathematics. 25 p.

Research output: Contribution to journalArticle

Open Access
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1 Downloads (Pure)

Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations

Hu, L., Li, X. & Mao, X., 1 Aug 2018, In : Journal of Computational and Applied Mathematics. 337, p. 274-289 16 p.

Research output: Contribution to journalArticle

Open Access
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9 Citations (Scopus)
27 Downloads (Pure)
Open Access
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46 Citations (Scopus)
94 Downloads (Pure)

Delay dependent stability of highly nonlinear hybrid stochastic systems

Fei, W., Hu, L., Mao, X. & Shen, M., 18 May 2017, In : Automatica. 82, p. 165-170 6 p.

Research output: Contribution to journalArticle

Open Access
File
34 Citations (Scopus)
72 Downloads (Pure)
Open Access
File
6 Citations (Scopus)
41 Downloads (Pure)

Exponential stabilisation of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations

Dong, R., Mao, X. & Birrell, S. A., 16 Apr 2020, In : IET Control Theory and Applications . 14, 6, p. 909-919 11 p.

Research output: Contribution to journalArticle

Open Access
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8 Downloads (Pure)

Exponential stability of highly nonlinear neutral pantograph stochastic differential equations

Shen, M., Fei, W., Mao, X. & Deng, S., 31 Jan 2020, In : Asian Journal of Control. 22, 1, p. 436-448 13 p.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
11 Downloads (Pure)

Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps

Mo, H., Li, M., Deng, F. & Mao, X., 5 Dec 2017, (Accepted/In press) In : Science in China Series F - Information Sciences.

Research output: Contribution to journalArticle

Open Access
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10 Downloads (Pure)

Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems

Fei, W., Hu, L., Mao, X. & Shen, M., 13 Oct 2018, (Accepted/In press) In : International Journal of Robust and Nonlinear Control . p. 1-18 18 p.

Research output: Contribution to journalArticle

Open Access
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2 Downloads (Pure)

Generalized Ait-Sahalia-type interest rate model with Poisson jumps and convergence of the numerical approximation

Deng, S., Fei, C., Fei, W. & Mao, X., 1 Nov 2019, In : Physica A: Statistical Mechanics and its Applications. 533, 18 p., 122057.

Research output: Contribution to journalArticle

Open Access
File
7 Citations (Scopus)
75 Downloads (Pure)
Open Access
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21 Citations (Scopus)
108 Downloads (Pure)
Open Access
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29 Downloads (Pure)

Neutral stochastic functional differential equations with Levy jumps under the local Lipschitz condition

Mao, W., Hu, L. & Mao, X., 21 Feb 2017, In : Advances in Difference Equations. 57, p. 1-24 24 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
85 Downloads (Pure)

On pth moment stabilization of hybrid systems by discrete-time feedback control

Dong, R. & Mao, X., 23 Jun 2017, In : Stochastic Analysis and Applications. 20 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
17 Downloads (Pure)
Open Access
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8 Citations (Scopus)
77 Downloads (Pure)

Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function

Liu, L., Mao, X. & Cao, J., 15 Nov 2019, In : Journal of Mathematical Analysis and Applications. 479, 2, p. 1986-2006 21 p.

Research output: Contribution to journalArticle

Open Access
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Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay

Mao, W., Hu, L. & Mao, X., 8 Oct 2019, (Accepted/In press) In : Discrete and Continuous Dynamical Systems - Series B. 15 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
14 Downloads (Pure)

Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations

Song, G., Mao, X. & Li, T., 5 Dec 2017, (Accepted/In press) In : International Journal of Control. p. 1-17 17 p.

Research output: Contribution to journalArticle

Open Access
File
9 Citations (Scopus)
11 Downloads (Pure)

Robust stabilization of hybrid uncertain stochastic systems by discrete-time feedback control

Li, Y., Lu, J., Kou, C., Mao, X. & Pan, J., 21 Oct 2016, (Accepted/In press) In : Optimal Control Applications and Methods. p. 1-20 20 p.

Research output: Contribution to journalArticle

Open Access
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35 Downloads (Pure)

SDE SIS epidemic model with demographic stochasticity and varying population size

Greenhalgh, D., Liang, Y. & Mao, X., 5 Mar 2016, In : Applied Mathematics and Computation. 276, p. 218-238 21 p.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
142 Downloads (Pure)

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

Lu, Z., Hu, J. & Mao, X., 30 Sep 2018, (Accepted/In press) In : Discrete and Continuous Dynamical Systems - Series B. 15 p.

Research output: Contribution to journalArticle

Open Access
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6 Downloads (Pure)

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

Shen, M., Fei, C., Fei, W. & Mao, X., 31 Mar 2020, In : Systems and Control Letters. 137, 8 p., 104645.

Research output: Contribution to journalArticle

Stabilisation of highly non-linear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control

Mei, C., Fei, C., Fei, W. & Mao, X., 29 Jan 2020, In : IET Control Theory and Applications . 14, 2, p. 313-323 11 p.

Research output: Contribution to journalArticle

Open Access
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2 Downloads (Pure)

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

Li, X. & Mao, X., 29 Feb 2020, In : Automatica. 112, 11 p., 108657.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Stabilisation of highly nonlinear hybrid systems by feedback control based on discrete-time state observations

Fei, C., Fei, W., Mao, X., Xia, D. & Yan, L., 30 Jul 2019, (Accepted/In press) In : IEEE Transactions on Automatic Control.

Research output: Contribution to journalArticle

Open Access
File
7 Downloads (Pure)
Open Access
File
21 Citations (Scopus)
51 Downloads (Pure)
Open Access
File
11 Citations (Scopus)
46 Downloads (Pure)