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  • Xuerong Mao
2016
Open Access
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1 Citation (Scopus)
119 Downloads (Pure)
2020

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)
2016

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
File
3 Citations (Scopus)
29 Downloads (Pure)
2017

The partially truncated Euler-Maruyama method and its stability and boundedness

Guo, Q., Liu, W., Mao, X. & Yue, R., 23 Jan 2017, (Accepted/In press) In : Applied Numerical Mathematics.

Research output: Contribution to journalArticle

Open Access
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26 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)

The truncated Euler-Maruyama method for stochastic differential delay equations

Guo, Q., Mao, X. & Yue, R., 11 Aug 2017, In : Numerical Algorithms. 26 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
47 Downloads (Pure)
2019
Open Access
File
2 Citations (Scopus)
1 Downloads (Pure)
2017

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)
2020

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

2019
Open Access
File
3 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

2020

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)
2016

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)
2019

Stability equivalence between the stochastic dierential delay equations driven by G-Brownian motion and the Euler-Maruyama method

Deng, S., Fei, C., Fei, W. & Mao, X., 23 Apr 2019, (Accepted/In press) In : Applied Mathematics Letters.

Research output: Contribution to journalArticle

Open Access
File
4 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

2017
Open Access
File
29 Downloads (Pure)
2020

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
File
2 Downloads (Pure)
2016
Open Access
File
21 Citations (Scopus)
108 Downloads (Pure)
2017

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)
2019

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)
2020

The asymptotic stability of hybrid stochastic systems with pantograph delay and non-Gaussian Lévy noise

Mao, W., Hu, L. & Mao, X., 31 Jan 2020, In : Journal of the Franklin Institute. 357, 2, p. 1174-1198 25 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

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
File
8 Downloads (Pure)
2016

Stationary distribution of stochastic SIRS epidemic model with standard incidence

Zhao, Y., Lin, Y., Jiang, D., Mao, X. & Li, Y., 30 Sep 2016, In : Discrete and Continuous Dynamical Systems - Series B. 21, 7, p. 2363-2378 16 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
47 Downloads (Pure)
2017

Stability analysis for continuous-time switched systems with stochastic switching signals

Wu, X., Tang, Y., Cao, J. & Mao, X., 5 Dec 2017, In : IEEE Transactions on Automatic Control.

Research output: Contribution to journalArticle

Open Access
File
38 Citations (Scopus)
66 Downloads (Pure)
2019

Stability of highly nonlinear hybrid stochastic integro-differential delay equations

Fei, C., Shen, M., Fei, W., Mao, X. & Yan, L., 28 Feb 2019, In : Nonlinear Analysis: Hybrid Systems. 31, p. 180-199 20 p.

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)
2 Downloads (Pure)
2020

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)
2019

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
2 Citations (Scopus)
7 Downloads (Pure)
2016

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)
2019

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
File

The truncated EM method for stochastic differential equations with Poisson jumps

Deng, S., Fei, W., Liu, W. & Mao, X., 1 Aug 2019, In : Journal of Computational and Applied Mathematics. 355, p. 232-257 26 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
1 Downloads (Pure)
2017
Open Access
File
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
File
10 Downloads (Pure)
2016

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)

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
File
34 Citations (Scopus)
474 Downloads (Pure)
2017

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)
2019

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)
2016
Open Access
File
7 Citations (Scopus)
75 Downloads (Pure)
2019

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
File
1 Downloads (Pure)
2016
Open Access
File
6 Citations (Scopus)
72 Downloads (Pure)
2020

The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients

Yang, H., Wu, F., Kloeden, P. E. & Mao, X., 1 Mar 2020, In : Journal of Computational and Applied Mathematics. 366, 13 p., 112379.

Research output: Contribution to journalArticle

2016
Open Access
File
21 Citations (Scopus)
51 Downloads (Pure)
2019

Stochastic delay foraging arena predator-prey system with Markov switching

Cai, Y., Cai, S. & Mao, X., 27 Nov 2019, In : Stochastic Analysis and Applications.

Research output: Contribution to journalArticle

2017

Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations

Lu, J., Li, Y., Mao, X. & Qiu, Q., 26 Apr 2017, In : Asian Journal of Control. p. 1-10 10 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
25 Downloads (Pure)
2019

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
File
1 Citation (Scopus)
12 Downloads (Pure)
2016
Open Access
File
46 Citations (Scopus)
94 Downloads (Pure)
2019

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

2016

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
File
35 Downloads (Pure)
Open Access
File
11 Citations (Scopus)
46 Downloads (Pure)
2020