Li, Yan-Fang; Han, Zhong-Jie; Xu, Gen-Qi Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input. (English) Zbl 1526.35232 J. Differ. Equations 377, 38-70 (2023). MSC: 35L53 35B40 93D20 PDFBibTeX XMLCite \textit{Y.-F. Li} et al., J. Differ. Equations 377, 38--70 (2023; Zbl 1526.35232) Full Text: DOI
Zhang, Hai-E.; Xu, Gen-Qi; Chen, Hao Stability of a viscoelastic Timoshenko system with non-monotonic kernel. (English) Zbl 1521.35044 Appl. Anal. 102, No. 10, 2692-2723 (2023). MSC: 35B40 35L53 35R09 93D05 93D23 PDFBibTeX XMLCite \textit{H.-E. Zhang} et al., Appl. Anal. 102, No. 10, 2692--2723 (2023; Zbl 1521.35044) Full Text: DOI
Cui, Haoyue; Chen, Yining; Xu, Genqi Stabilization for Schrödinger equation with internal damping and boundary disturbance. (English) Zbl 1498.93558 J. Dyn. Control Syst. 28, No. 4, 971-987 (2022). MSC: 93D15 93D20 35Q55 93B53 PDFBibTeX XMLCite \textit{H. Cui} et al., J. Dyn. Control Syst. 28, No. 4, 971--987 (2022; Zbl 1498.93558) Full Text: DOI
Zhang, Hai-E; Xu, Gen-Qi; Han, Zhong-Jie Stability of multi-dimensional nonlinear piezoelectric beam with viscoelastic infinite memory. (English) Zbl 1494.35042 Z. Angew. Math. Phys. 73, No. 4, Paper No. 159, 18 p. (2022). MSC: 35B40 35L53 35R09 47D06 93D20 PDFBibTeX XMLCite \textit{H.-E Zhang} et al., Z. Angew. Math. Phys. 73, No. 4, Paper No. 159, 18 p. (2022; Zbl 1494.35042) Full Text: DOI arXiv
Cui, Haoyue; Han, Zhongjie; Xu, Genqi Controller design to stabilization of Schrödinger equation with boundary input disturbance. (English) Zbl 1436.93101 Appl. Anal. 99, No. 5, 796-813 (2020). MSC: 93D15 93D20 93C20 35J10 PDFBibTeX XMLCite \textit{H. Cui} et al., Appl. Anal. 99, No. 5, 796--813 (2020; Zbl 1436.93101) Full Text: DOI
Wang, Jing; Han, Zhong-Jie; Xu, Gen-Qi Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping. (English) Zbl 1430.35032 J. Math. Anal. Appl. 478, No. 2, 560-577 (2019). Reviewer: Giuliano Lazzaroni (Firenze) MSC: 35B40 74F05 35L20 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Math. Anal. Appl. 478, No. 2, 560--577 (2019; Zbl 1430.35032) Full Text: DOI
Chen, Yunlan; Xu, Genqi Stabilization for a joint string equation with input disturbance. (English) Zbl 1417.93250 IMA J. Math. Control Inf. 36, No. 1, 19-40 (2019). MSC: 93D15 93D20 93B12 93C10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{G. Xu}, IMA J. Math. Control Inf. 36, No. 1, 19--40 (2019; Zbl 1417.93250) Full Text: DOI
Feng, Xiaoxuan; Xu, Genqi; Chen, Yunlan Rapid stabilisation of an Euler-Bernoulli beam with the internal delay control. (English) Zbl 1415.93216 Int. J. Control 92, No. 1, 42-55 (2019). MSC: 93D20 74K10 93C25 70Q05 93B52 93B17 PDFBibTeX XMLCite \textit{X. Feng} et al., Int. J. Control 92, No. 1, 42--55 (2019; Zbl 1415.93216) Full Text: DOI
Xu, Cheng-Zhong; Xu, Gen Qi Saturated boundary feedback stabilization of a linear wave equation. (English) Zbl 1405.93187 SIAM J. Control Optim. 57, No. 1, 290-309 (2019). MSC: 93D15 93B12 93C10 93C20 93D30 93D20 PDFBibTeX XMLCite \textit{C.-Z. Xu} and \textit{G. Q. Xu}, SIAM J. Control Optim. 57, No. 1, 290--309 (2019; Zbl 1405.93187) Full Text: DOI
Liu, Dongyi; Chen, Yining; Shang, Yingfeng; Xu, Genqi Stabilization of a Timoshenko beam with disturbance observer-based time varying boundary controls. (English) Zbl 1407.93334 Asian J. Control 20, No. 5, 1869-1880 (2018). MSC: 93D15 93D20 93B07 93C15 93C73 70Q05 PDFBibTeX XMLCite \textit{D. Liu} et al., Asian J. Control 20, No. 5, 1869--1880 (2018; Zbl 1407.93334) Full Text: DOI
Cui, Haoyue; Liu, Dongyi; Xu, Genqi Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback. (English) Zbl 1406.81024 Math. Control Relat. Fields 8, No. 2, 383-395 (2018). MSC: 81Q05 93D15 93D20 35B40 65N35 47H05 81T80 81Q93 PDFBibTeX XMLCite \textit{H. Cui} et al., Math. Control Relat. Fields 8, No. 2, 383--395 (2018; Zbl 1406.81024) Full Text: DOI
Geng, Huan; Han, Zhong-Jie; Wang, Jing; Xu, Gen-Qi Stabilization of a nonlinear rotating disk-beam system with localized thermal effect. (English) Zbl 1398.93285 Nonlinear Dyn. 93, No. 2, 785-799 (2018). MSC: 93D15 93D20 35Q93 93C20 74K10 74F05 PDFBibTeX XMLCite \textit{H. Geng} et al., Nonlinear Dyn. 93, No. 2, 785--799 (2018; Zbl 1398.93285) Full Text: DOI
Liu, Xiu Fang; Xu, Gen Qi Exponential stabilization for Timoshenko beam with different delays in the boundary control. (English) Zbl 1397.93184 IMA J. Math. Control Inf. 34, No. 1, 93-110 (2017). MSC: 93D21 93D20 74K10 93C15 93B07 PDFBibTeX XMLCite \textit{X. F. Liu} and \textit{G. Q. Xu}, IMA J. Math. Control Inf. 34, No. 1, 93--110 (2017; Zbl 1397.93184) Full Text: DOI
Wang, Jing; Han, Zhong-Jie; Xu, Gen-Qi Energy decay rate of transmission problem between thermoelasticity of type I and type II. (English) Zbl 1391.35064 Z. Angew. Math. Phys. 68, No. 3, Paper No. 65, 19 p. (2017). MSC: 35B40 93D20 74F05 35G46 PDFBibTeX XMLCite \textit{J. Wang} et al., Z. Angew. Math. Phys. 68, No. 3, Paper No. 65, 19 p. (2017; Zbl 1391.35064) Full Text: DOI
Xu, Genqi; Feng, Xiaoyu; Kwok, Ki Lung The exponential stability region of Timoshenko beam with interior delays and boundary damping. (English) Zbl 1367.93576 Int. J. Control 90, No. 8, 1529-1542 (2017). MSC: 93D20 74K10 93C20 47D03 PDFBibTeX XMLCite \textit{G. Xu} et al., Int. J. Control 90, No. 8, 1529--1542 (2017; Zbl 1367.93576) Full Text: DOI
Cui, Hao-Yue; Han, Zhong-Jie; Xu, Gen-Qi Stabilization for Schrödinger equation with a time delay in the boundary input. (English) Zbl 1342.35082 Appl. Anal. 95, No. 5, 963-977 (2016). Reviewer: Christian Seifert (Hamburg) MSC: 35J10 93C20 93D15 93D20 PDFBibTeX XMLCite \textit{H.-Y. Cui} et al., Appl. Anal. 95, No. 5, 963--977 (2016; Zbl 1342.35082) Full Text: DOI
Liu, Xiu Fang; Xu, Gen Qi Output-based stabilization of Timoshenko beam with the boundary control and input distributed delay. (English) Zbl 1337.93072 J. Dyn. Control Syst. 22, No. 2, 347-367 (2016). MSC: 93D15 93C20 74K10 93D20 70Q05 PDFBibTeX XMLCite \textit{X. F. Liu} and \textit{G. Q. Xu}, J. Dyn. Control Syst. 22, No. 2, 347--367 (2016; Zbl 1337.93072) Full Text: DOI
Liu, Dongyi; Zhang, Liping; Xu, Genqi Stabilisation of Timoshenko beam system with a tip payload under the unknown boundary external disturbances. (English) Zbl 1338.93303 Int. J. Control 88, No. 9, 1830-1840 (2015). MSC: 93D15 93C73 74K10 70Q05 93D20 47H05 PDFBibTeX XMLCite \textit{D. Liu} et al., Int. J. Control 88, No. 9, 1830--1840 (2015; Zbl 1338.93303) Full Text: DOI
Wang, Lei; Han, Zhong-Jie; Xu, Gen-Qi Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping. (English) Zbl 1332.93312 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2733-2750 (2015). MSC: 93D20 93C20 93D15 PDFBibTeX XMLCite \textit{L. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2733--2750 (2015; Zbl 1332.93312) Full Text: DOI
Xiao, Qi; Xu, Genqi Stability analysis of networks of wave equations with boundary switch feedback controls. (Chinese. English summary) Zbl 1340.93163 Control Theory Appl. 32, No. 1, 58-68 (2015). MSC: 93D20 93C20 93B52 93D05 93C30 PDFBibTeX XMLCite \textit{Q. Xiao} and \textit{G. Xu}, Control Theory Appl. 32, No. 1, 58--68 (2015; Zbl 1340.93163)
Liu, Dongyi; Zhang, Liping; Xu, Genqi; Han, Zhongjie Stabilization of one-dimensional wave equations coupled with an ODE system on general tree-shaped networks. (English) Zbl 1327.93327 IMA J. Math. Control Inf. 32, No. 3, 557-589 (2015). MSC: 93D20 34B24 35L05 PDFBibTeX XMLCite \textit{D. Liu} et al., IMA J. Math. Control Inf. 32, No. 3, 557--589 (2015; Zbl 1327.93327) Full Text: DOI
Chen, Yun Lan; Xu, Gen Qi Exponential stability of uniform Euler-Bernoulli beams with non-collocated boundary controllers. (English) Zbl 1305.93175 J. Math. Anal. Appl. 409, No. 2, 851-867 (2014). MSC: 93D20 93B60 74K10 PDFBibTeX XMLCite \textit{Y. L. Chen} and \textit{G. Q. Xu}, J. Math. Anal. Appl. 409, No. 2, 851--867 (2014; Zbl 1305.93175) Full Text: DOI
Liu, Xiu Fang; Xu, Gen Qi Exponential stabilization for Timoshenko beam with distributed delay in the boundary control. (English) Zbl 1421.93120 Abstr. Appl. Anal. 2013, Article ID 726794, 15 p. (2013). MSC: 93D20 74K10 70Q05 PDFBibTeX XMLCite \textit{X. F. Liu} and \textit{G. Q. Xu}, Abstr. Appl. Anal. 2013, Article ID 726794, 15 p. (2013; Zbl 1421.93120) Full Text: DOI
Zhang, Kuiting; Xu, Genqi A pinned network of Euler-Bernoulli beams under feedback controls. (English) Zbl 1282.93131 J. Syst. Sci. Complex. 26, No. 3, 313-334 (2013). MSC: 93B52 93C25 93D20 PDFBibTeX XMLCite \textit{K. Zhang} and \textit{G. Xu}, J. Syst. Sci. Complex. 26, No. 3, 313--334 (2013; Zbl 1282.93131) Full Text: DOI
Xu, Genqi; Wang, Hongxia Stabilisation of Timoshenko beam system with delay in the boundary control. (English) Zbl 1278.93221 Int. J. Control 86, No. 6, 1165-1178 (2013). MSC: 93D20 70Q05 93B07 93B52 93C20 PDFBibTeX XMLCite \textit{G. Xu} and \textit{H. Wang}, Int. J. Control 86, No. 6, 1165--1178 (2013; Zbl 1278.93221) Full Text: DOI
Han, Zhong-Jie; Xu, Gen-Qi Stabilization and SDG condition of serially connected vibrating strings system with discontinuous displacement. (English) Zbl 1282.93207 Asian J. Control 14, No. 1, 95-108 (2012). MSC: 93D15 93B52 93B60 93C20 93D20 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{G.-Q. Xu}, Asian J. Control 14, No. 1, 95--108 (2012; Zbl 1282.93207) Full Text: DOI
Shang, Ying Feng; Xu, Gen Qi Stabilization of an Euler-Bernoulli beam with input delay in the boundary control. (English) Zbl 1252.93100 Syst. Control Lett. 61, No. 11, 1069-1078 (2012). MSC: 93D15 74K10 93C20 93D20 PDFBibTeX XMLCite \textit{Y. F. Shang} and \textit{G. Q. Xu}, Syst. Control Lett. 61, No. 11, 1069--1078 (2012; Zbl 1252.93100) Full Text: DOI
Guo, Yanni; Chen, Yunlan; Xu, Genqi; Zhang, Yaxuan Exponential stabilization of variable coefficient wave equations in a generic tree with small time-delays in the nodal feedbacks. (English) Zbl 1246.93089 J. Math. Anal. Appl. 395, No. 2, 727-746 (2012). MSC: 93D15 93D20 93C20 35Q93 93B28 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Math. Anal. Appl. 395, No. 2, 727--746 (2012; Zbl 1246.93089) Full Text: DOI
Han, Zhong-Jie; Xu, Gen-Qi Dynamical behavior of networks of non-uniform Timoshenko beams system with boundary time-delay inputs. (English) Zbl 1258.93089 Netw. Heterog. Media 6, No. 2, 297-327 (2011). MSC: 93D15 47A75 35B40 93D20 93B52 74K10 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{G.-Q. Xu}, Netw. Heterog. Media 6, No. 2, 297--327 (2011; Zbl 1258.93089) Full Text: DOI
Chen, Yunlan; Han, Zhongjie; Xu, Genqi; Liu, Dongyi Exponential stability of string system with variable coefficients under non-collocated feedback controls. (English) Zbl 1248.93142 Asian J. Control 13, No. 1, 148-163 (2011). MSC: 93D20 93D15 93B52 PDFBibTeX XMLCite \textit{Y. Chen} et al., Asian J. Control 13, No. 1, 148--163 (2011; Zbl 1248.93142) Full Text: DOI
Guo, Yanni; Xu, Genqi Asymptotic stability and Riesz basis property for tree-shaped network of strings. (English) Zbl 1226.93118 J. Syst. Sci. Complex. 24, No. 2, 225-252 (2011). MSC: 93D20 93B52 93B28 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{G. Xu}, J. Syst. Sci. Complex. 24, No. 2, 225--252 (2011; Zbl 1226.93118) Full Text: DOI
Ma, Lixia; Xu, Genqi; Mastorakis, Nikos E. Analysis of a deteriorating cold standby system with priority. (English) Zbl 1223.93099 WSEAS Trans. Math. 10, No. 2, 84-94 (2011). MSC: 93D20 93C25 93E03 PDFBibTeX XMLCite \textit{L. Ma} et al., WSEAS Trans. Math. 10, No. 2, 84--94 (2011; Zbl 1223.93099) Full Text: Link
Zhang, Yaxuan; Han, Zhongjie; Xu, Genqi Expansion of solution of an inverted pendulum system with time delay. (English) Zbl 1312.34101 Appl. Math. Comput. 217, No. 14, 6476-6489 (2011). MSC: 34K08 34L20 70E18 47A75 93C23 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 217, No. 14, 6476--6489 (2011; Zbl 1312.34101) Full Text: DOI
Han, Zhong-Jie; Xu, Gen-Qi Spectrum and dynamical behavior of a kind of planar network of non-uniform strings with non-collocated feedbacks. (English) Zbl 1270.35102 Netw. Heterog. Media 5, No. 2, 315-334 (2010). MSC: 35B40 47A75 93D20 93D15 58B15 35B35 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{G.-Q. Xu}, Netw. Heterog. Media 5, No. 2, 315--334 (2010; Zbl 1270.35102) Full Text: DOI
Gao, Feng; Xu, Genqi Riesz basis property and exponential stability of a composite thin-walled beam with torsion coupled effect. (English) Zbl 1240.34444 Acta Anal. Funct. Appl. 12, No. 3, 193-209 (2010). MSC: 34L40 34L05 34D20 34L10 74K10 PDFBibTeX XMLCite \textit{F. Gao} and \textit{G. Xu}, Acta Anal. Funct. Appl. 12, No. 3, 193--209 (2010; Zbl 1240.34444) Full Text: DOI
Zhang, Yaxuan; Xu, Genqi The exponential stability of complex differential networks. (Chinese. English summary) Zbl 1212.93162 J. Syst. Sci. Math. Sci. 29, No. 10, 1399-1418 (2009). MSC: 93C20 93D15 93D20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{G. Xu}, J. Syst. Sci. Math. Sci. 29, No. 10, 1399--1418 (2009; Zbl 1212.93162)
Wang, Lei; Xu, Genqi Spectral analysis and expansion of solution to a class of delay differential equations. (Chinese. English summary) Zbl 1212.34269 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 4, 843-857 (2009). MSC: 34K99 47D99 93D20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{G. Xu}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 4, 843--857 (2009; Zbl 1212.34269)
Han, Zhong-Jie; Xu, Gen-Qi Stabilization and Riesz basis property of two serially connected Timoshenko beams system. (English) Zbl 1176.93062 ZAMM, Z. Angew. Math. Mech. 89, No. 12, 962-980 (2009). MSC: 93D15 93D20 34B10 93C20 47B06 74K10 70Q05 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{G.-Q. Xu}, ZAMM, Z. Angew. Math. Mech. 89, No. 12, 962--980 (2009; Zbl 1176.93062) Full Text: DOI
Liu, Dongyi; Shang, Yingfeng; Xu, Genqi Design of controllers and compensators for a serially connected string system and its Riesz basis. (Chinese. English summary) Zbl 1199.93092 Control Theory Appl. 25, No. 5, 815-818 (2008). MSC: 93B51 93D20 93B28 PDFBibTeX XMLCite \textit{D. Liu} et al., Control Theory Appl. 25, No. 5, 815--818 (2008; Zbl 1199.93092)
Du, Yan; Xu, Genqi Exponential stability of a system of linear Timoshenko type with boundary controls. (Chinese. English summary) Zbl 1199.93235 Control Theory Appl. 25, No. 1, 33-39 (2008). MSC: 93D20 93B52 93C05 93B60 93D99 PDFBibTeX XMLCite \textit{Y. Du} and \textit{G. Xu}, Control Theory Appl. 25, No. 1, 33--39 (2008; Zbl 1199.93235)
Du, Yan; Xu, Genqi Exponential stability of a system of linear Timoshenko type with boundary controls. (Chinese. English summary) Zbl 1174.93550 J. Syst. Sci. Math. Sci. 28, No. 5, 554-575 (2008). MSC: 93C25 93D15 93D20 93B60 PDFBibTeX XMLCite \textit{Y. Du} and \textit{G. Xu}, J. Syst. Sci. Math. Sci. 28, No. 5, 554--575 (2008; Zbl 1174.93550)
Xu, Gen Qi; Yung, Siu Pang Stability and Riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping. (English) Zbl 1160.35351 Netw. Heterog. Media 3, No. 4, 723-747 (2008). MSC: 35B40 35C10 93D20 74K10 PDFBibTeX XMLCite \textit{G. Q. Xu} and \textit{S. P. Yung}, Netw. Heterog. Media 3, No. 4, 723--747 (2008; Zbl 1160.35351) Full Text: DOI
Wang, Wenlong; Xu, Genqi Well-posedness and stability of solution of a series system with repair facility. (Chinese. English summary) Zbl 1150.47046 Appl. Math., Ser. A (Chin. Ed.) 22, No. 4, 474-482 (2007). MSC: 47N20 PDFBibTeX XMLCite \textit{W. Wang} and \textit{G. Xu}, Appl. Math., Ser. A (Chin. Ed.) 22, No. 4, 474--482 (2007; Zbl 1150.47046)
Wang, Wenlong; Xu, Genqi Asymptotic spectrum and its accumulation points of a transport operator in slab geometry with generalized boundary conditions. (Chinese. English summary) Zbl 1207.35236 Acta Anal. Funct. Appl. 6, No. 4, 365-370 (2004). MSC: 35P05 35F05 47G20 82C70 PDFBibTeX XMLCite \textit{W. Wang} and \textit{G. Xu}, Acta Anal. Funct. Appl. 6, No. 4, 365--370 (2004; Zbl 1207.35236)
Guo, Weihua; Xu, Genqi; Xu, Houbao The stability of solution of a parallel repairable system with two non-identical unit. (Chinese. English summary) Zbl 1051.47057 Acta Anal. Funct. Appl. 5, No. 3, 281-288 (2003). MSC: 47N10 90B25 47D06 PDFBibTeX XMLCite \textit{W. Guo} et al., Acta Anal. Funct. Appl. 5, No. 3, 281--288 (2003; Zbl 1051.47057)
Xu, Gen-Qi; Yung, Siu Pang Lyapunov stability of abstract nonlinear dynamic system in Banach space. (English) Zbl 1023.93046 IMA J. Math. Control Inf. 20, No. 1, 105-127 (2003). Reviewer: M.Megan (Timişoara) MSC: 93D05 34D20 34G20 93C25 93C10 93D20 93D30 PDFBibTeX XMLCite \textit{G.-Q. Xu} and \textit{S. P. Yung}, IMA J. Math. Control Inf. 20, No. 1, 105--127 (2003; Zbl 1023.93046) Full Text: DOI Link