Alwan, Mohamad S.; Liu, Xinzhi; Sugati, Taghreed G.; Kiyak, Humeyra Input-to-state stability for large-scale stochastic impulsive systems with state delay. (English) Zbl 1514.34132 Stochastic Anal. Appl. 41, No. 1, 152-183 (2023). MSC: 34K35 34K20 34K45 34K50 93A15 93E03 93B52 34K43 PDFBibTeX XMLCite \textit{M. S. Alwan} et al., Stochastic Anal. Appl. 41, No. 1, 152--183 (2023; Zbl 1514.34132) Full Text: DOI
Khoshnevisan, Ladan; Liu, Xinzhi Adaptive fractional order predictive sliding mode control for congestion control of wireless access networks. (English) Zbl 1528.93103 Int. J. Robust Nonlinear Control 32, No. 13, 7271-7289 (2022). MSC: 93C40 93B12 93B70 26A33 PDFBibTeX XMLCite \textit{L. Khoshnevisan} and \textit{X. Liu}, Int. J. Robust Nonlinear Control 32, No. 13, 7271--7289 (2022; Zbl 1528.93103) Full Text: DOI
Alwan, Mohamad S.; Liu, Xinzhi Analysis and robust \(H_\infty\) control for systems of stochastic differential equations with piecewise constant arguments. (English) Zbl 1485.93150 Nonlinear Anal., Hybrid Syst. 44, Article ID 101165, 18 p. (2022). MSC: 93B36 93C15 93E03 93C30 93D25 PDFBibTeX XMLCite \textit{M. S. Alwan} and \textit{X. Liu}, Nonlinear Anal., Hybrid Syst. 44, Article ID 101165, 18 p. (2022; Zbl 1485.93150) Full Text: DOI
Ji, Huihui; Cui, Baotong; Liu, Xinzhi Networked sampled-data control of distributed parameter systems via distributed sensor networks. (English) Zbl 1464.93046 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105773, 15 p. (2021). MSC: 93C57 93B52 93B70 93D23 93C43 PDFBibTeX XMLCite \textit{H. Ji} et al., Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105773, 15 p. (2021; Zbl 1464.93046) Full Text: DOI
Zhao, Can; Liu, Xinzhi; Zhong, Shouming; Shi, Kaibo; Liao, Daixi; Zhong, Qishui Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control. (English) Zbl 1508.93026 Appl. Math. Comput. 395, Article ID 125850, 14 p. (2021). MSC: 93A16 93A15 93C27 93C57 93E15 PDFBibTeX XMLCite \textit{C. Zhao} et al., Appl. Math. Comput. 395, Article ID 125850, 14 p. (2021; Zbl 1508.93026) Full Text: DOI
Liu, Xinzhi; Ramirez, Cesar Stability analysis by contraction principle for impulsive systems with infinite delays. (English) Zbl 1455.34074 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105021, 17 p. (2020). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 34K20 34K45 47N20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Ramirez}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105021, 17 p. (2020; Zbl 1455.34074) Full Text: DOI
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau Stability and stabilization of large-scale stochastic impulsive systems with time delay. (English) Zbl 1425.93294 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 4, 243-268 (2019). MSC: 93E15 93A15 93C23 34K20 34K45 93C10 PDFBibTeX XMLCite \textit{M. S. Alwan} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 4, 243--268 (2019; Zbl 1425.93294) Full Text: Link Link
Liu, Xinzhi; Stechlinski, Peter Hybrid stabilization and synchronization of nonlinear systems with unbounded delays. (English) Zbl 1410.93063 Appl. Math. Comput. 280, 140-161 (2016). MSC: 93C30 34A38 37C75 PDFBibTeX XMLCite \textit{X. Liu} and \textit{P. Stechlinski}, Appl. Math. Comput. 280, 140--161 (2016; Zbl 1410.93063) Full Text: DOI
Stechlinski, Peter; Liu, Xinzhi Robust synchronization of distributed-delay systems via hybrid control. (English) Zbl 1354.93014 Bélair, Jacques (ed.) et al., Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Cham: Springer (ISBN 978-3-319-30377-2/hbk; 978-3-319-30379-6/ebook). 737-748 (2016). MSC: 93A14 93C15 93C30 PDFBibTeX XMLCite \textit{P. Stechlinski} and \textit{X. Liu}, in: Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7--15, 2015. Cham: Springer. 737--748 (2016; Zbl 1354.93014) Full Text: DOI
Alwan, M. S.; Liu, X. Z.; Xie, W.-C. Input-to-state stability of large-scale stochastic impulsive systems with time delay and application to control systems. (English) Zbl 1327.93395 Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 21-27 (2015). MSC: 93E15 93D25 93A15 93E03 PDFBibTeX XMLCite \textit{M. S. Alwan} et al., Springer Proc. Math. Stat. 117, 21--27 (2015; Zbl 1327.93395) Full Text: DOI
Zhang, Hongtao; Liu, Xinzhi; Shen, Xuemin (Sherman); Liu, Jun Intermittent impulsive synchronization of hyperchaos with application to secure communication. (English) Zbl 1316.34066 Asian J. Control 15, No. 6, 1686-1699 (2013). MSC: 34H10 94A60 PDFBibTeX XMLCite \textit{H. Zhang} et al., Asian J. Control 15, No. 6, 1686--1699 (2013; Zbl 1316.34066) Full Text: DOI
Botmart, T.; Niamsup, P.; Liu, X. Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. (English) Zbl 1239.93043 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1894-1907 (2012). MSC: 93B52 34H05 93C15 PDFBibTeX XMLCite \textit{T. Botmart} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1894--1907 (2012; Zbl 1239.93043) Full Text: DOI
Liu, Xinzhi; Shen, Xuemin; Zhang, Hongtao Intermittent impulsive synchronization of chaotic delayed neural networks. (English) Zbl 1256.34063 Differ. Equ. Dyn. Syst. 19, No. 1-2, 149-169 (2011). MSC: 34K35 34K25 34K23 92B20 PDFBibTeX XMLCite \textit{X. Liu} et al., Differ. Equ. Dyn. Syst. 19, No. 1--2, 149--169 (2011; Zbl 1256.34063) Full Text: DOI
Alwan, Mohamad S.; Liu, Xinzhi; Xie, Wei-Chau Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay. (English) Zbl 1205.60107 J. Franklin Inst. 347, No. 7, 1317-1333 (2010). MSC: 60H10 34K20 34K45 PDFBibTeX XMLCite \textit{M. S. Alwan} et al., J. Franklin Inst. 347, No. 7, 1317--1333 (2010; Zbl 1205.60107) Full Text: DOI
Alwan, Mohamad S.; Liu, Xinzhi Stability of singularly perturbed switched systems with time delay and impulsive effects. (English) Zbl 1181.34084 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 4297-4308 (2009). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 34K45 34K20 34K26 PDFBibTeX XMLCite \textit{M. S. Alwan} and \textit{X. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 4297--4308 (2009; Zbl 1181.34084) Full Text: DOI
Alwan, Mohamad; Liu, Xinzhi; Ingalls, Brian Exponential stability of singularly perturbed switched systems with time delay. (English) Zbl 1225.34077 Nonlinear Anal., Hybrid Syst. 2, No. 3, 913-921 (2008). Reviewer: Ivan Ginchev (Varna) MSC: 34K20 34K26 34A36 34K34 PDFBibTeX XMLCite \textit{M. Alwan} et al., Nonlinear Anal., Hybrid Syst. 2, No. 3, 913--921 (2008; Zbl 1225.34077) Full Text: DOI
Alwan, Mohamad S.; Liu, Xinzhi On stability of linear and weakly nonlinear switched systems with time delay. (English) Zbl 1187.34067 Math. Comput. Modelling 48, No. 7-8, 1150-1157 (2008). MSC: 34D20 PDFBibTeX XMLCite \textit{M. S. Alwan} and \textit{X. Liu}, Math. Comput. Modelling 48, No. 7--8, 1150--1157 (2008; Zbl 1187.34067) Full Text: DOI
Kim, Sehjeong; Campbell, Sue Ann; Liu, Xinzhi Delay independent stability of linear switching systems with time delay. (English) Zbl 1128.93044 J. Math. Anal. Appl. 339, No. 2, 785-801 (2008). MSC: 93D20 93C15 93C05 34H05 PDFBibTeX XMLCite \textit{S. Kim} et al., J. Math. Anal. Appl. 339, No. 2, 785--801 (2008; Zbl 1128.93044) Full Text: DOI
Liu, Xinzhi; Wang, Qing The method of Lyapunov functionals and exponential stability of impulsive systems with time delay. (English) Zbl 1123.34065 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 7, 1465-1484 (2007). Reviewer: Eduardo Liz (Vigo) MSC: 34K45 34K20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Q. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 7, 1465--1484 (2007; Zbl 1123.34065) Full Text: DOI
Wang, Qing; Liu, Xinzhi Exponential stability for impulsive delay differential equations by Razumikhin method. (English) Zbl 1084.34066 J. Math. Anal. Appl. 309, No. 2, 462-473 (2005). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 34K20 34K45 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{X. Liu}, J. Math. Anal. Appl. 309, No. 2, 462--473 (2005; Zbl 1084.34066) Full Text: DOI
Huo, Hai-Feng; Li, Wang-Tong; Liu, Xinzhi Existence and global attractivity of positive periodic solutions of an impulsive delay differential equation. (English) Zbl 1065.34068 Appl. Anal. 83, No. 12, 1279-1290 (2004). MSC: 34K13 34K20 34K45 92D25 PDFBibTeX XMLCite \textit{H.-F. Huo} et al., Appl. Anal. 83, No. 12, 1279--1290 (2004; Zbl 1065.34068) Full Text: DOI
Liu, Xinzhi; Xu, Dao Yi Uniform asymptotic stability of abstract functional differential equations. (English) Zbl 0891.34073 J. Math. Anal. Appl. 216, No. 2, 626-643 (1997). Reviewer: Michael I.Gil’(Beer-Sheva) MSC: 34K20 34K25 35R10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Y. Xu}, J. Math. Anal. Appl. 216, No. 2, 626--643 (1997; Zbl 0891.34073) Full Text: DOI
Lin, Xiaodong; Liu, Xinzhi Qualitative study of an HIV transmission model among intravenous drug users. (English) Zbl 0817.92016 Appl. Math. Comput. 60, No. 2-3, 215-236 (1994). MSC: 92D30 37N99 34D05 34C11 37C70 PDFBibTeX XMLCite \textit{X. Lin} and \textit{X. Liu}, Appl. Math. Comput. 60, No. 2--3, 215--236 (1994; Zbl 0817.92016) Full Text: DOI
Erbe, Lynn; Guo, Dajun; Liu, Xinzhi Positive solutions of a class of nonlinear integral equations and applications. (English) Zbl 0755.45006 J. Integral Equations Appl. 4, No. 2, 179-195 (1992). Reviewer: J.Kolomý (Praha) MSC: 45G10 45M20 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Integral Equations Appl. 4, No. 2, 179--195 (1992; Zbl 0755.45006) Full Text: DOI
Liu, Xinzhi; Wong, Yau Shu; Ji, Xingzhi Monotone iterations for numerical solutions of nonlinear elliptic partial differential equations. (English) Zbl 0757.65107 Appl. Math. Comput. 50, No. 1, 59-91 (1992). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N06 65N12 65H10 35J65 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Comput. 50, No. 1, 59--91 (1992; Zbl 0757.65107) Full Text: DOI
Liu, Xinzhi Practical stabilization of control systems with impulse effects. (English) Zbl 0757.93073 J. Math. Anal. Appl. 166, No. 2, 563-576 (1992). MSC: 93D30 PDFBibTeX XMLCite \textit{X. Liu}, J. Math. Anal. Appl. 166, No. 2, 563--576 (1992; Zbl 0757.93073) Full Text: DOI
Erbe, Lynn H.; Liu, Xinzhi Existence results for boundary value problems of second order impulsive differential equations. (English) Zbl 0711.34027 J. Math. Anal. Appl. 149, No. 1, 56-69 (1990). Reviewer: G.Aniculăesei MSC: 34B15 34A37 PDFBibTeX XMLCite \textit{L. H. Erbe} and \textit{X. Liu}, J. Math. Anal. Appl. 149, No. 1, 56--69 (1990; Zbl 0711.34027) Full Text: DOI
Erbe, L. H.; Liu, Xinzhi; Wu, Jianhong Solvability of boundary value problems for vector differential systems. (English) Zbl 0708.34018 Proc. R. Soc. Edinb., Sect. A 114, No. 3-4, 181-193 (1990). Reviewer: A.Steindl MSC: 34B15 34C11 45J05 54H25 47H10 70H05 PDFBibTeX XMLCite \textit{L. H. Erbe} et al., Proc. R. Soc. Edinb., Sect. A, Math. 114, No. 3--4, 181--193 (1990; Zbl 0708.34018) Full Text: DOI
Liu, Xinzhi Nonlinear boundary value problems for first order impulsive integro- differential equations. (English) Zbl 0671.34018 Appl. Anal. 36, No. 1-2, 119-130 (1990). Reviewer: Xinzhi Liu MSC: 34B15 PDFBibTeX XMLCite \textit{X. Liu}, Appl. Anal. 36, No. 1--2, 119--130 (1990; Zbl 0671.34018) Full Text: DOI
Lakshmikantham, V.; Liu, Xinzhi On asymptotic stability for nonautonomous differential systems. (English) Zbl 0689.34044 Nonlinear Anal., Theory Methods Appl. 13, No. 10, 1181-1189 (1989). Reviewer: V.Lakshmikantham MSC: 34D05 34D20 PDFBibTeX XMLCite \textit{V. Lakshmikantham} and \textit{X. Liu}, Nonlinear Anal., Theory Methods Appl. 13, No. 10, 1181--1189 (1989; Zbl 0689.34044) Full Text: DOI
Liu, Xinzhi; Pirapakaran, Ratnam Global stability results for impulsive differential equations. (English) Zbl 0681.34066 Appl. Anal. 33, No. 1-2, 87-102 (1989). MSC: 34K20 34D20 34D30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{R. Pirapakaran}, Appl. Anal. 33, No. 1--2, 87--102 (1989; Zbl 0681.34066) Full Text: DOI
Liu, Xinzhi; Pirapakaran, Ratnam Asymptotic stability for impulsive differential systems. (English) Zbl 0662.34051 Appl. Math. Comput. 30, No. 2, 149-163 (1989). MSC: 34D05 34D20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{R. Pirapakaran}, Appl. Math. Comput. 30, No. 2, 149--163 (1989; Zbl 0662.34051) Full Text: DOI
Erbe, L. H.; Liu, Xinzhi Quasi-solutions of nonlinear impulsive equations in abstract cones. (English) Zbl 0662.34015 Appl. Anal. 34, No. 3-4, 231-250 (1989). Reviewer: L.H.Erbe MSC: 34A34 34A12 45J05 PDFBibTeX XMLCite \textit{L. H. Erbe} and \textit{X. Liu}, Appl. Anal. 34, No. 3--4, 231--250 (1989; Zbl 0662.34015) Full Text: DOI