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  • Xuerong Mao
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

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)

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
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6 Citations (Scopus)
11 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)

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)

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

Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations

Liu, W., Mao, X., Tang, J. & Wu, Y., 31 Jul 2020, In : Applied Numerical Mathematics. 153, p. 66-81 16 p.

Research output: Contribution to journalArticle

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)
Open Access
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3 Downloads (Pure)
Open Access
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2 Citations (Scopus)
7 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
File
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)

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)

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

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

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
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7 Downloads (Pure)

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
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4 Downloads (Pure)

Stability in distribution of stochastic functional differential equations

Wang, Y., Wu, F. & Mao, X., 23 Jul 2019, (Accepted/In press) In : Systems and Control Letters. 22 p.

Research output: Contribution to journalArticle

Open Access
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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)

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

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)
2018

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
File
6 Citations (Scopus)
29 Downloads (Pure)
Open Access
File
9 Citations (Scopus)
8 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
File
4 Citations (Scopus)
9 Downloads (Pure)
Open Access
File
7 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
File
9 Citations (Scopus)
27 Downloads (Pure)
Open Access
File
6 Citations (Scopus)
41 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
File
2 Downloads (Pure)
Open Access
File
5 Citations (Scopus)
14 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)

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
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24 Downloads (Pure)

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)

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)

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
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12 Citations (Scopus)
23 Downloads (Pure)

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
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5 Downloads (Pure)

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)
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
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34 Citations (Scopus)
72 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)
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
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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
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5 Citations (Scopus)
17 Downloads (Pure)