Hu, Junhao; Mao, Wei; Mao, Xuerong Advances in nonlinear hybrid stochastic differential delay equations: existence, boundedness and stability. (English) Zbl 1505.93111 Automatica 147, Article ID 110682, 12 p. (2023). MSC: 93C23 34K50 93C10 93D20 PDFBibTeX XMLCite \textit{J. Hu} et al., Automatica 147, Article ID 110682, 12 p. (2023; Zbl 1505.93111) Full Text: DOI
Dong, Hailing; Mao, Xuerong Advances in stabilization of highly nonlinear hybrid delay systems. (English) Zbl 1480.93433 Automatica 136, Article ID 110086, 9 p. (2022). MSC: 93E15 93D23 93C23 34K50 93C30 93C43 93C10 PDFBibTeX XMLCite \textit{H. Dong} and \textit{X. Mao}, Automatica 136, Article ID 110086, 9 p. (2022; Zbl 1480.93433) Full Text: DOI
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Xia, Dengfeng Advances in the truncated Euler-Maruyama method for stochastic differential delay equations. (English) Zbl 1462.60073 Commun. Pure Appl. Anal. 19, No. 4, 2081-2100 (2020). MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{W. Fei} et al., Commun. Pure Appl. Anal. 19, No. 4, 2081--2100 (2020; Zbl 1462.60073) Full Text: DOI
Li, Xiaoyue; Mao, Xuerong Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. (English) Zbl 1430.93166 Automatica 112, Article ID 108657, 11 p. (2020). MSC: 93D15 93E15 93D20 93C30 93C23 93C43 93C10 60H10 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Mao}, Automatica 112, Article ID 108657, 11 p. (2020; Zbl 1430.93166) Full Text: DOI Link
Guo, Qian; Mao, Xuerong; Yue, Rongxian The truncated Euler-Maruyama method for stochastic differential delay equations. (English) Zbl 1414.60043 Numer. Algorithms 78, No. 2, 599-624 (2018). MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{Q. Guo} et al., Numer. Algorithms 78, No. 2, 599--624 (2018; Zbl 1414.60043) Full Text: DOI arXiv
Song, Minghui; Mao, Xuerong Almost sure exponential stability of hybrid stochastic functional differential equations. (English) Zbl 1380.34121 J. Math. Anal. Appl. 458, No. 2, 1390-1408 (2018). Reviewer: Xiaohu Wang (Chengdu) MSC: 34K50 34K20 PDFBibTeX XMLCite \textit{M. Song} and \textit{X. Mao}, J. Math. Anal. Appl. 458, No. 2, 1390--1408 (2018; Zbl 1380.34121) Full Text: DOI
Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan Delay dependent stability of highly nonlinear hybrid stochastic systems. (English) Zbl 1376.93115 Automatica 82, 165-170 (2017). MSC: 93E15 93E03 93C10 93B36 PDFBibTeX XMLCite \textit{W. Fei} et al., Automatica 82, 165--170 (2017; Zbl 1376.93115) Full Text: DOI
Mao, Wei; Mao, Xuerong An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure. (English) Zbl 1419.60046 Adv. Difference Equ. 2016, Paper No. 77, 18 p. (2016). MSC: 60H10 34K50 34K40 60H20 65C30 PDFBibTeX XMLCite \textit{W. Mao} and \textit{X. Mao}, Adv. Difference Equ. 2016, Paper No. 77, 18 p. (2016; Zbl 1419.60046) Full Text: DOI
Guo, Qian; Mao, Xuerong; Yue, Rongxian Almost sure exponential stability of stochastic differential delay equations. (English) Zbl 1343.60072 SIAM J. Control Optim. 54, No. 4, 1919-1933 (2016). MSC: 60H10 60J65 60J10 93E15 93D15 93B52 PDFBibTeX XMLCite \textit{Q. Guo} et al., SIAM J. Control Optim. 54, No. 4, 1919--1933 (2016; Zbl 1343.60072) Full Text: DOI
Mao, Wei; You, Surong; Wu, Xiaoqian; Mao, Xuerong On the averaging principle for stochastic delay differential equations with jumps. (English) Zbl 1346.60087 Adv. Difference Equ. 2015, Paper No. 70, 19 p. (2015). MSC: 60H10 60F25 60F05 60G57 34K50 PDFBibTeX XMLCite \textit{W. Mao} et al., Adv. Difference Equ. 2015, Paper No. 70, 19 p. (2015; Zbl 1346.60087) Full Text: DOI
Li, Xiaoyue; Mao, Xuerong The improved LaSalle-type theorems for stochastic differential delay equations. (English) Zbl 1248.60065 Stochastic Anal. Appl. 30, No. 4, 568-589 (2012). MSC: 60H10 34K50 34K20 93E15 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Mao}, Stochastic Anal. Appl. 30, No. 4, 568--589 (2012; Zbl 1248.60065) Full Text: DOI
Mao, Xuerong; Lam, James; Huang, Lirong Stabilisation of hybrid stochastic differential equations by delay feedback control. (English) Zbl 1149.93027 Syst. Control Lett. 57, No. 11, 927-935 (2008). MSC: 93D15 93E03 60H10 PDFBibTeX XMLCite \textit{X. Mao} et al., Syst. Control Lett. 57, No. 11, 927--935 (2008; Zbl 1149.93027) Full Text: DOI Link
Mao, Xuerong; Yin, G. George; Yuan, Chenggui Stabilization and destabilization of hybrid systems of stochastic differential equations. (English) Zbl 1111.93082 Automatica 43, No. 2, 264-273 (2007). MSC: 93E15 93D15 93E03 93C10 PDFBibTeX XMLCite \textit{X. Mao} et al., Automatica 43, No. 2, 264--273 (2007; Zbl 1111.93082) Full Text: DOI
Mao, Xuerong Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations. (English) Zbl 1114.65005 J. Comput. Appl. Math. 200, No. 1, 297-316 (2007). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H10 60H35 34F05 65L05 65L20 PDFBibTeX XMLCite \textit{X. Mao}, J. Comput. Appl. Math. 200, No. 1, 297--316 (2007; Zbl 1114.65005) Full Text: DOI
Yuan, Chenggui; Mao, Xuerong Attraction and stochastic asymptotic stability and boundedness of stochastic functional differential equations with respect to semimartingales. (English) Zbl 1121.60065 Stochastic Anal. Appl. 24, No. 6, 1169-1184 (2006). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H10 34K25 34K50 93D30 PDFBibTeX XMLCite \textit{C. Yuan} and \textit{X. Mao}, Stochastic Anal. Appl. 24, No. 6, 1169--1184 (2006; Zbl 1121.60065) Full Text: DOI
Luo, Qi; Mao, Xuerong; Shen, Yi New criteria on exponential stability of neutral stochastic differential delay equations. (English) Zbl 1100.93048 Syst. Control Lett. 55, No. 10, 826-834 (2006). MSC: 93E15 PDFBibTeX XMLCite \textit{Q. Luo} et al., Syst. Control Lett. 55, No. 10, 826--834 (2006; Zbl 1100.93048) Full Text: DOI
Shen, Yi; Luo, Qi; Mao, Xuerong The improved LaSalle-type theorems for stochastic functional differential equations. (English) Zbl 1090.60059 J. Math. Anal. Appl. 318, No. 1, 134-154 (2006). Reviewer: George Stoica (Saint John) MSC: 60H20 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Math. Anal. Appl. 318, No. 1, 134--154 (2006; Zbl 1090.60059) Full Text: DOI
Mao, Xuerong; Lam, James; Xu, Shengyuan; Gao, Huijun Razumikhin method and exponential stability of hybrid stochastic delay interval systems. (English) Zbl 1127.60072 J. Math. Anal. Appl. 314, No. 1, 45-66 (2006). MSC: 60J27 34K20 34K50 PDFBibTeX XMLCite \textit{X. Mao} et al., J. Math. Anal. Appl. 314, No. 1, 45--66 (2006; Zbl 1127.60072) Full Text: DOI
Yuan, Chenggui; Mao, Xuerong Stability in distribution of numerical solutions for stochastic differential equations. (English) Zbl 1071.60062 Stochastic Anal. Appl. 22, No. 5, 1133-1150 (2004). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H35 60H10 60J05 65C30 93D20 PDFBibTeX XMLCite \textit{C. Yuan} and \textit{X. Mao}, Stochastic Anal. Appl. 22, No. 5, 1133--1150 (2004; Zbl 1071.60062) Full Text: DOI
Kolmanovskii, V.; Koroleva, N.; Maizenberg, T.; Mao, X.; Matasov, A. Neutral stochastic differential delay equations with Markovian switching. (English) Zbl 1025.60028 Stochastic Anal. Appl. 21, No. 4, 819-847 (2003). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H20 34K50 93E15 93D05 PDFBibTeX XMLCite \textit{V. Kolmanovskii} et al., Stochastic Anal. Appl. 21, No. 4, 819--847 (2003; Zbl 1025.60028) Full Text: DOI
Yuan, Chenggui; Mao, Xuerong Asymptotic stability and boundedness of stochastic differential equations with respect to semimartingales. (English) Zbl 1056.93069 Stochastic Anal. Appl. 21, No. 3, 737-751 (2003). Reviewer: Leslaw Socha (Warsaw) MSC: 93E15 60G48 60H10 34F05 34D05 PDFBibTeX XMLCite \textit{C. Yuan} and \textit{X. Mao}, Stochastic Anal. Appl. 21, No. 3, 737--751 (2003; Zbl 1056.93069) Full Text: DOI
Mao, Xuerong; Marion, Glenn; Renshaw, Eric Environmental Brownian noise suppresses explosions in population dynamics. (English) Zbl 1058.60046 Stochastic Processes Appl. 97, No. 1, 95-110 (2002). Reviewer: Jan Seidler (Praha) MSC: 60H10 92D25 PDFBibTeX XMLCite \textit{X. Mao} et al., Stochastic Processes Appl. 97, No. 1, 95--110 (2002; Zbl 1058.60046) Full Text: DOI
Mao, Xuerong Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions. (English) Zbl 0983.60055 J. Math. Anal. Appl. 260, No. 2, 325-340 (2001). Reviewer: T.N.Pham (Hanoi) MSC: 60H10 93E15 35B34 PDFBibTeX XMLCite \textit{X. Mao}, J. Math. Anal. Appl. 260, No. 2, 325--340 (2001; Zbl 0983.60055) Full Text: DOI Link
Liu, Kai; Mao, Xuerong Large time decay behavior of dynamical equations with random perturbation features. (English) Zbl 0997.93095 Stochastic Anal. Appl. 19, No. 2, 295-327 (2001). Reviewer: Vigirdas Mackevičius (Vilnius) MSC: 93E15 93D20 93D09 34K50 60H10 93C73 PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Mao}, Stochastic Anal. Appl. 19, No. 2, 295--327 (2001; Zbl 0997.93095) Full Text: DOI
Mao, X.; Selfridge, C. Stability of stochastic interval systems with time delays. (English) Zbl 0974.93047 Syst. Control Lett. 42, No. 4, 279-290 (2001). MSC: 93D09 93C23 93E15 93C73 93D20 PDFBibTeX XMLCite \textit{X. Mao} and \textit{C. Selfridge}, Syst. Control Lett. 42, No. 4, 279--290 (2001; Zbl 0974.93047) Full Text: DOI
Mao, Xuerong Almost sure exponential stability of delay equations with damped stochastic perturbation. (English) Zbl 0980.60081 Stochastic Anal. Appl. 19, No. 1, 67-84 (2001). Reviewer: T.C.Gard (Athens/Georgia) MSC: 60H10 34K50 PDFBibTeX XMLCite \textit{X. Mao}, Stochastic Anal. Appl. 19, No. 1, 67--84 (2001; Zbl 0980.60081) Full Text: DOI
Mao, Xuerong Stability of stochastic differential equations with Markovian switching. (English) Zbl 0962.60043 Stochastic Processes Appl. 79, No. 1, 45-67 (1999). Reviewer: B.Maslowski (Praha) MSC: 60H10 PDFBibTeX XMLCite \textit{X. Mao}, Stochastic Processes Appl. 79, No. 1, 45--67 (1999; Zbl 0962.60043) Full Text: DOI
Mao, Xuerong LaSalle-type theorems for stochastic differential delay equations. (English) Zbl 0958.60057 J. Math. Anal. Appl. 236, No. 2, 350-369 (1999). Reviewer: M.Capinski (Kraków) MSC: 60H10 PDFBibTeX XMLCite \textit{X. Mao}, J. Math. Anal. Appl. 236, No. 2, 350--369 (1999; Zbl 0958.60057) Full Text: DOI
Mao, Xuerong Stochastic versions of the LaSalle theorem. (English) Zbl 0921.34057 J. Differ. Equations 153, No. 1, 175-195 (1999). Reviewer: Henri Schurz (Berlin) MSC: 34F05 60H10 60G35 93E15 PDFBibTeX XMLCite \textit{X. Mao}, J. Differ. Equations 153, No. 1, 175--195 (1999; Zbl 0921.34057) Full Text: DOI Link
Mao, X. Razumikhin-type theorems on exponential stability of stochastic functional differential equations. (English) Zbl 0889.60062 Stochastic Processes Appl. 65, No. 2, 233-250 (1996). Reviewer: B.Maslowski (Praha) MSC: 60H10 PDFBibTeX XMLCite \textit{X. Mao}, Stochastic Processes Appl. 65, No. 2, 233--250 (1996; Zbl 0889.60062) Full Text: DOI
Mao, Xuerong Exponential stability of large-scale stochastic differential equations. (English) Zbl 0765.93079 Syst. Control Lett. 19, No. 1, 71-81 (1992). MSC: 93E15 93A15 PDFBibTeX XMLCite \textit{X. Mao}, Syst. Control Lett. 19, No. 1, 71--81 (1992; Zbl 0765.93079) Full Text: DOI
Mao, Xuerong Robustness of stability of nonlinear systems with stochastic delay perturbations. (English) Zbl 0763.93064 Syst. Control Lett. 19, No. 5, 391-400 (1992). MSC: 93D05 93C10 93C73 PDFBibTeX XMLCite \textit{X. Mao}, Syst. Control Lett. 19, No. 5, 391--400 (1992; Zbl 0763.93064) Full Text: DOI
Mao, Xuerong Almost sure exponential stability for delay stochastic differential equations with respect to semimartingales. (English) Zbl 0738.93080 Stochastic Anal. Appl. 9, No. 2, 177-194 (1991). Reviewer: J.M.Stoyanov (Ottawa) MSC: 93E15 PDFBibTeX XMLCite \textit{X. Mao}, Stochastic Anal. Appl. 9, No. 2, 177--194 (1991; Zbl 0738.93080) Full Text: DOI
Mao, Xuerong Exponential stability in mean square for stochastic differential equations. (English) Zbl 0699.60048 Stochastic Anal. Appl. 8, No. 1, 91-103 (1990). Reviewer: C.Varsan MSC: 60H10 93E15 PDFBibTeX XMLCite \textit{X. Mao}, Stochastic Anal. Appl. 8, No. 1, 91--103 (1990; Zbl 0699.60048) Full Text: DOI