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  • Xuerong Mao

Vehicle density estimation of freeway traffic with unknown boundary demand-supply: an IMM approach

Zhang, L. & Mao, X., 27 Sep 2015, In : IET Control Theory and Applications . 9, 13, p. 1989-1995 8 p.

Research output: Contribution to journalArticle

Open Access
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11 Citations (Scopus)
159 Downloads (Pure)

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

Liu, W., Mao, X., Tang, J. & Wu, Y., 12 Feb 2020, In : Applied Numerical Mathematics. 153, p. 66-81 16 p.

Research output: Contribution to journalArticle

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
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11 Citations (Scopus)
25 Downloads (Pure)

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

The truncated Euler–Maruyama method for stochastic differential equations

Mao, X., 15 Dec 2015, In : Journal of Computational and Applied Mathematics. 290, p. 370–384 15 p.

Research output: Contribution to journalArticle

Open Access
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64 Citations (Scopus)
330 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
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8 Citations (Scopus)
47 Downloads (Pure)

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
4 Citations (Scopus)
1 Downloads (Pure)

The threshold of a stochastic SIRS epidemic model in a population with varying size

Zhao, Y., Jiang, D., Mao, X. & Gray, A., 2015, In : Discrete and Continuous Dynamical Systems - Series B. 20, 4, p. 1277-1295 19 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
164 Downloads (Pure)

The SIS epidemic model with Markovian switching

Gray, A., Greenhalgh, D., Mao, X. & Pan, J., 15 Oct 2012, In : Journal of Mathematical Analysis and Applications. 394, 2, p. 496-516 21 p.

Research output: Contribution to journalArticle

File
74 Citations (Scopus)
527 Downloads (Pure)

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)

The improved LaSalle-type theorems for stochastic differential delay equations

Li, X. & Mao, X., 2012, In : Stochastic Analysis and Applications. 30, 4, p. 568-589 22 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps

Mao, W., Hu, L. & Mao, X., 1 Oct 2015, In : Applied Mathematics and Computation. 268, p. 883-896 14 p.

Research output: Contribution to journalArticle

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

The Euler-Maruyama approximation for the asset price in the mean-reverting-theta stochastic volatility model

Baduraliya, C. & Mao, X., Oct 2012, In : Computers and Mathematics with Applications. 64, 7, p. 2209-2223 15 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 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

File
142 Citations (Scopus)
119 Downloads (Pure)
Open Access
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11 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)
22 Downloads (Pure)
File
58 Citations (Scopus)
88 Downloads (Pure)

Strong convergence of the stopped Euler–Maruyama method for nonlinear stochastic differential equations

Liu, W. & Mao, X., 15 Oct 2013, In : Applied Mathematics and Computation. 223, p. 389-400 12 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
File
72 Citations (Scopus)
50 Downloads (Pure)

Stochastic stabilization of hybrid differential equations

Deng, F., Luo, Q. & Mao, X., Sep 2012, In : Automatica. 48, 9, p. 2321-2328 8 p.

Research output: Contribution to journalArticle

60 Citations (Scopus)

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
File
6 Citations (Scopus)
6 Downloads (Pure)

Stochastic dynamical behavior of SIRS epidemic models with random perturbation

Yang, Q. & Mao, X., Mar 2014, In : Mathematical Biosciences and Engineering. 11, 4, p. 1003-1025 23 p.

Research output: Contribution to journalArticle

Open Access
File
24 Citations (Scopus)
142 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

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)

Stationary distribution of stochastic population systems

Mao, X., Jun 2011, In : Systems and Control Letters. 60, 6, p. 398-405 8 p.

Research output: Contribution to journalArticle

90 Citations (Scopus)
8 Downloads (Pure)

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

You, S., Liu, W., Lu, J., Mao, X. & Qiu, Q., 29 Jan 2015, (Accepted/In press) In : SIAM Journal on Control and Optimization.

Research output: Contribution to journalArticle

Open Access
File
205 Downloads (Pure)

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)

Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations

Mao, X., Liu, W., Hu, L., Luo, Q. & Lu, J., Nov 2014, In : Systems and Control Letters. 73, p. 88-95 8 p.

Research output: Contribution to journalArticle

Open Access
File
55 Citations (Scopus)
136 Downloads (Pure)

Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control

Mao, X., Dec 2013, In : Automatica. 49, 12, p. 3677-3681 5 p.

Research output: Contribution to journalArticle

Open Access
File
74 Citations (Scopus)
103 Downloads (Pure)

Stability of singular stochastic systems with Markovian switching

Huang, L. & Mao, X., Feb 2011, In : IEEE Transactions on Automatic Control. 56, 2, p. 424-429 6 p.

Research output: Contribution to journalArticle

68 Citations (Scopus)

Stability of singular jump-linear systems with a large state space: a two-time-scale approach

Nguyen, D. T., Mao, X., Yin, G. & Yuan, C., Apr 2012, In : The Australian and New Zealand Industrial and Applied Mathematics Journal. 52, 4, p. 372-390 19 p.

Research output: Contribution to journalArticle

Open Access
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191 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)

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
10 Citations (Scopus)
1 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

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 and boundedness of nonlinear hybrid stochastic differential delay equations

Hu, L., Mao, X. & Shen, Y., Feb 2013, In : Systems and Control Letters. 62, 2, p. 178-187 10 p.

Research output: Contribution to journalArticle

52 Citations (Scopus)

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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22 Downloads (Pure)

Stability analysis of continuous-time switched systems with a random switching signal

Xiong, J., Lam, J., Shu, Z. & Mao, X., Jan 2014, In : IEEE Transactions on Automatic Control. 59, 1, p. 180-186 7 p.

Research output: Contribution to journalArticle

Open Access
File
58 Citations (Scopus)
212 Downloads (Pure)

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
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38 Citations (Scopus)
60 Downloads (Pure)
Open Access
File
9 Citations (Scopus)
43 Downloads (Pure)
Open Access
File
21 Citations (Scopus)
51 Downloads (Pure)

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)

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 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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1 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 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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5 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
13 Citations (Scopus)
142 Downloads (Pure)

SDE SIS epidemic models

Gray, A., Greenhalgh, D., Mao, X. & Pan, J., 2012, (Unpublished).

Research output: Contribution to conferenceSpeech