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  • Xuerong Mao
2016
Open Access
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1 Citation (Scopus)
119 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)
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
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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)
2018

The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients

Mao, W., Hu, L., You, S. & Mao, X., 3 Oct 2018, (Accepted/In press) In : Discrete and Continuous Dynamical Systems - Series B. 19 p.

Research output: Contribution to journalArticle

Open Access
File
5 Downloads (Pure)
2019
Open Access
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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

2018
Open Access
File
7 Downloads (Pure)
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)
2018

The truncated Milstein method for stochastic differential equations with commutative noise

Guo, Q., Liu, W., Mao, X. & Yue, R., 15 Aug 2018, In : Journal of Computational and Applied Mathematics. 338, p. 298-310 13 p.

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)
25 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)
2018

Structured robust stability and boundedness of nonlinear hybrid delay systems

Fei, W., Hu, L., Mao, X. & Shen, M., 17 Jul 2018, In : SIAM Journal on Control and Optimization. 56, 4, p. 2662-2689 28 p.

Research output: Contribution to journalArticle

Open Access
File
12 Citations (Scopus)
23 Downloads (Pure)
2019

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)
2018

Stability of highly nonlinear neutral stochastic differential delay equations

Shen, M., Fei, W., Mao, X. & Liang, Y., 17 Mar 2018, In : Systems and Control Letters. p. 1-7 7 p.

Research output: Contribution to journalArticle

Open Access
File
17 Citations (Scopus)
18 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)
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)
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)

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)
2018

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
File
9 Citations (Scopus)
27 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)

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)
2019

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)

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
2018
Open Access
File
5 Citations (Scopus)
14 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)
2018

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
File
5 Citations (Scopus)
14 Downloads (Pure)
2019
Open Access
File
2 Citations (Scopus)
7 Downloads (Pure)
2018
Open Access
File
6 Citations (Scopus)
41 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)
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)
2018

Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations

Fei, C., Fei, W., Mao, X., Shen, M. & Yan, L., 19 Dec 2018, (Accepted/In press) In : Journal of Applied Analysis and Computation. p. 1-18 18 p.

Research output: Contribution to journalArticle

Open Access
File
24 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
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1 Downloads (Pure)
2018

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
File
2 Downloads (Pure)
2016
Open Access
File
6 Citations (Scopus)
72 Downloads (Pure)
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)
2018

Stochastic prey-predator system with foraging arena scheme

Cai, Y. & Mao, X., 31 Dec 2018, In : Applied Mathematical Modelling. 64, p. 357-371 15 p.

Research output: Contribution to journalArticle

Open Access
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8 Citations (Scopus)
6 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