Zhao, F.; Jian, J. Finite-time synchronization of fractional-order fuzzy Cohen-Grossberg neural networks with time delay. (English) Zbl 1522.93164 Iran. J. Fuzzy Syst. 19, No. 5, 47-61 (2022). MSC: 93D40 34K20 34K36 34K37 93C42 93C43 PDF BibTeX XML Cite \textit{F. Zhao} and \textit{J. Jian}, Iran. J. Fuzzy Syst. 19, No. 5, 47--61 (2022; Zbl 1522.93164) Full Text: DOI
Zhang, Shuailei; Liu, Xinge; Li, Xuemei Finite-time synchronisation of delayed fractional-order coupled neural networks. (English) Zbl 1504.93343 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 12, 2597-2611 (2022). MSC: 93D40 93B70 93C43 26A33 PDF BibTeX XML Cite \textit{S. Zhang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 12, 2597--2611 (2022; Zbl 1504.93343) Full Text: DOI
Zhu, Dejun Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function. (English) Zbl 07538463 Math. Comput. Simul. 199, 307-316 (2022). MSC: 93-XX 34-XX PDF BibTeX XML Cite \textit{D. Zhu}, Math. Comput. Simul. 199, 307--316 (2022; Zbl 07538463) Full Text: DOI
Guo, Ping; Liu, Meng; He, Zhixiong; Jia, Hongen Stability of numerical solutions for the stochastic pantograph differential equations with variable step size. (English) Zbl 1466.65014 J. Comput. Appl. Math. 388, Article ID 113303, 19 p. (2021). MSC: 65C30 60H10 PDF BibTeX XML Cite \textit{P. Guo} et al., J. Comput. Appl. Math. 388, Article ID 113303, 19 p. (2021; Zbl 1466.65014) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay. (English) Zbl 1443.60064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217-3232 (2020). MSC: 60H10 93E15 PDF BibTeX XML Cite \textit{W. Mao} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3217--3232 (2020; Zbl 1443.60064) Full Text: DOI
Zhang, Meng; Zhu, Quanxin New criteria of input-to-state stability for nonlinear switched stochastic delayed systems with asynchronous switching. (English) Zbl 1425.93245 Syst. Control Lett. 129, 43-50 (2019). MSC: 93D25 93E15 93C30 93C10 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{Q. Zhu}, Syst. Control Lett. 129, 43--50 (2019; Zbl 1425.93245) Full Text: DOI
Liu, Lei; Mao, Xuerong; Cao, Jinde Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. (English) Zbl 1464.34105 J. Math. Anal. Appl. 479, No. 2, 1986-2006 (2019). MSC: 34K50 34K20 93E15 PDF BibTeX XML Cite \textit{L. Liu} et al., J. Math. Anal. Appl. 479, No. 2, 1986--2006 (2019; Zbl 1464.34105) Full Text: DOI Link
Zhu, Quanxin Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching. (English) Zbl 1367.93711 Int. J. Control 90, No. 8, 1703-1712 (2017). MSC: 93E15 93C23 60J75 60H10 PDF BibTeX XML Cite \textit{Q. Zhu}, Int. J. Control 90, No. 8, 1703--1712 (2017; Zbl 1367.93711) Full Text: DOI
Chen, Boshan; Chen, Jiejie Razumikhin-type stability theorems for functional fractional-order differential systems and applications. (English) Zbl 1410.34209 Appl. Math. Comput. 254, 63-69 (2015). MSC: 34K20 34K37 34A08 39B82 PDF BibTeX XML Cite \textit{B. Chen} and \textit{J. Chen}, Appl. Math. Comput. 254, 63--69 (2015; Zbl 1410.34209) Full Text: DOI
Ma, Shufang; Li, Jia; Min, Jingxin Razumikhin-type stability theorems for unbound delay differential equations with piecewise continuous arguments. (English) Zbl 1340.34269 J. Nat. Sci. Heilongjiang Univ. 32, No. 1, 1-5 (2015). MSC: 34K20 34K06 PDF BibTeX XML Cite \textit{S. Ma} et al., J. Nat. Sci. Heilongjiang Univ. 32, No. 1, 1--5 (2015; Zbl 1340.34269) Full Text: DOI
Wu, Fuke; Yin, George; Wang, Le Yi Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching. (English) Zbl 1323.34091 Math. Control Relat. Fields 5, No. 3, 697-719 (2015). MSC: 34K50 34K20 34K26 60J28 34F05 93E15 PDF BibTeX XML Cite \textit{F. Wu} et al., Math. Control Relat. Fields 5, No. 3, 697--719 (2015; Zbl 1323.34091) Full Text: DOI
Mastellone, Silvia; Spong, Mark W. A signal reconstruction approach for control systems with unknown time-varying delays. (English) Zbl 1281.93080 Syst. Control Lett. 62, No. 11, 1026-1031 (2013). MSC: 93D15 93A14 PDF BibTeX XML Cite \textit{S. Mastellone} and \textit{M. W. Spong}, Syst. Control Lett. 62, No. 11, 1026--1031 (2013; Zbl 1281.93080) Full Text: DOI
Yu, Zhanhua Razumikhin-type theorem and mean square asymptotic behavior of the backward Euler method for neutral stochastic pantograph equations. (English) Zbl 1283.65008 J. Inequal. Appl. 2013, Paper No. 299, 15 p. (2013). MSC: 65C30 60H10 60H35 34K40 34K50 65L20 PDF BibTeX XML Cite \textit{Z. Yu}, J. Inequal. Appl. 2013, Paper No. 299, 15 p. (2013; Zbl 1283.65008) Full Text: DOI
Wu, Fuke; Kloeden, Peter E. Mean-square random attractors of stochastic delay differential equations with random delay. (English) Zbl 1316.34083 Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1715-1734 (2013). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34K50 37H10 60H10 34K25 34K12 PDF BibTeX XML Cite \textit{F. Wu} and \textit{P. E. Kloeden}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 6, 1715--1734 (2013; Zbl 1316.34083) Full Text: DOI
Hu, Junhao; Mao, Xuerong; Yuan, Chenggui Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes. (English) Zbl 1279.60069 Abstr. Appl. Anal. 2013, Article ID 854743, 12 p. (2013). MSC: 60H10 34K50 34K20 PDF BibTeX XML Cite \textit{J. Hu} et al., Abstr. Appl. Anal. 2013, Article ID 854743, 12 p. (2013; Zbl 1279.60069) Full Text: DOI
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. (English) Zbl 1270.65005 Discrete Contin. Dyn. Syst. 33, No. 2, 885-903 (2013). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H35 34K50 34K28 45R05 45J05 45D05 60H20 PDF BibTeX XML Cite \textit{F. Wu} et al., Discrete Contin. Dyn. Syst. 33, No. 2, 885--903 (2013; Zbl 1270.65005) Full Text: DOI
Wu, Fuke; Hu, Shigeng Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations. (English) Zbl 1276.93081 Int. J. Robust Nonlinear Control 22, No. 7, 763-777 (2012). MSC: 93E15 60H10 49L20 PDF BibTeX XML Cite \textit{F. Wu} and \textit{S. Hu}, Int. J. Robust Nonlinear Control 22, No. 7, 763--777 (2012; Zbl 1276.93081) Full Text: DOI
Wu, Fuke; Yin, G.; Wang, Le Yi Moment exponential stability of random delay systems with two-time-scale Markovian switching. (English) Zbl 1263.60062 Nonlinear Anal., Real World Appl. 13, No. 6, 2476-2490 (2012). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H25 34K20 34K50 60J28 PDF BibTeX XML Cite \textit{F. Wu} et al., Nonlinear Anal., Real World Appl. 13, No. 6, 2476--2490 (2012; Zbl 1263.60062) Full Text: DOI
Meng, Xuejing; Yin, Baojian On the general decay stability of stochastic differential equations with unbounded delay. (English) Zbl 1245.60060 J. Korean Math. Soc. 49, No. 3, 515-536 (2012). Reviewer: Melvin D. Lax (Long Beach) MSC: 60H10 34K20 34K50 PDF BibTeX XML Cite \textit{X. Meng} and \textit{B. Yin}, J. Korean Math. Soc. 49, No. 3, 515--536 (2012; Zbl 1245.60060) Full Text: DOI
Pavlović, Gorica; Janković, Svetlana Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay. (English) Zbl 1247.34128 J. Comput. Appl. Math. 236, No. 7, 1679-1690 (2012). Reviewer: Fuke Wu (Wuhan) MSC: 34K50 60H10 34K20 34K25 PDF BibTeX XML Cite \textit{G. Pavlović} and \textit{S. Janković}, J. Comput. Appl. Math. 236, No. 7, 1679--1690 (2012; Zbl 1247.34128) Full Text: DOI
Wu, Fuke; Hu, Shigeng; Mao, Xuerong A Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay. (English) Zbl 1249.34235 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1245-1258 (2011). MSC: 34K50 34K40 60H10 34K20 PDF BibTeX XML Cite \textit{F. Wu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1245--1258 (2011; Zbl 1249.34235) Full Text: DOI
Zhou, Shaobo; Hu, Shigeng Razumikhin-type theorems for neutral stochastic functional differential equations. (English) Zbl 1199.34432 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 1, 181-190 (2009). MSC: 34K50 34K40 PDF BibTeX XML Cite \textit{S. Zhou} and \textit{S. Hu}, Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 1, 181--190 (2009; Zbl 1199.34432) Full Text: DOI
Fan, Zhencheng; Song, Minghui; Liu, Mingzhu The \(\alpha \)th moment stability for the stochastic pantograph equation. (English) Zbl 1206.65021 J. Comput. Appl. Math. 233, No. 2, 109-120 (2009). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H10 60H35 34K50 35K20 PDF BibTeX XML Cite \textit{Z. Fan} et al., J. Comput. Appl. Math. 233, No. 2, 109--120 (2009; Zbl 1206.65021) Full Text: DOI
Liu, Bin; Hill, David J. Input-to-state stability for discrete time-delay systems via the Razumikhin technique. (English) Zbl 1166.93371 Syst. Control Lett. 58, No. 8, 567-575 (2009). MSC: 93D25 93C55 93C73 PDF BibTeX XML Cite \textit{B. Liu} and \textit{D. J. Hill}, Syst. Control Lett. 58, No. 8, 567--575 (2009; Zbl 1166.93371) Full Text: DOI
Huang, Lirong; Deng, Feiqi Razumikhin-type theorems on stability of stochastic retarded systems. (English) Zbl 1156.93402 Int. J. Syst. Sci. 40, No. 1, 73-80 (2009). MSC: 93E12 93E03 PDF BibTeX XML Cite \textit{L. Huang} and \textit{F. Deng}, Int. J. Syst. Sci. 40, No. 1, 73--80 (2009; Zbl 1156.93402) Full Text: DOI
Liu, Bin; Marquez, Horacio J. Razumikhin-type stability theorems for discrete delay systems. (English) Zbl 1123.93065 Automatica 43, No. 7, 1219-1225 (2007). MSC: 93C55 34K20 93D30 93D20 PDF BibTeX XML Cite \textit{B. Liu} and \textit{H. J. Marquez}, Automatica 43, No. 7, 1219--1225 (2007; Zbl 1123.93065) Full Text: DOI
Liu, Kai; Shi, Yufeng Razumikhin-type theorems of infinite dimensional stochastic functional differential equations. (English) Zbl 1217.60055 Ceragioli, F. (ed.) et al., Systems, control, modeling and optimization. Proceedings of the 22nd IFIP TC7 conference, July 18–22, 2005, Turin, Italy. New York, NY: Springer (ISBN 0-387-33881-0/hbk). IFIP, International Federation for Information Processing 202, 237-247 (2006). MSC: 60H15 34K50 PDF BibTeX XML Cite \textit{K. Liu} and \textit{Y. Shi}, IFIP, Int. Fed. Inf. Process. 202, 237--247 (2006; Zbl 1217.60055) Full Text: DOI
Liu, Pin-Lin On the stability of neutral-type uncertain systems with multiple time delays. (English) Zbl 1091.34043 Int. J. Appl. Math. Comput. Sci. 15, No. 2, 221-229 (2005). Reviewer: Aleksandr Lomtatidze (Brno) MSC: 34K20 34K40 93D99 PDF BibTeX XML Cite \textit{P.-L. Liu}, Int. J. Appl. Math. Comput. Sci. 15, No. 2, 221--229 (2005; Zbl 1091.34043) Full Text: EuDML
Zhou, Zongfu On Razumikhin-type stability theorem of delay difference equations. (Chinese. English summary) Zbl 1030.39021 J. Math. Res. Expo. 23, No. 1, 115-120 (2003). Reviewer: Mingshu Peng (Beijing) MSC: 39A11 PDF BibTeX XML Cite \textit{Z. Zhou}, J. Math. Res. Expo. 23, No. 1, 115--120 (2003; Zbl 1030.39021)
Hristova, S. G.; Roberts, L. F. Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations. (English) Zbl 1045.45004 Math. Comput. Modelling 34, No. 7-8, 839-847 (2001). Reviewer: Vassil Angelov (Sofia) MSC: 45J05 PDF BibTeX XML Cite \textit{S. G. Hristova} and \textit{L. F. Roberts}, Math. Comput. Modelling 34, No. 7--8, 839--847 (2001; Zbl 1045.45004) Full Text: DOI
Gu, Keqin; Niculescu, Silviu-Iulian Additional dynamics in transformed time-delay systems. (English) Zbl 0986.34066 IEEE Trans. Autom. Control 45, No. 3, 572-575 (2000). Reviewer: Mihaly Pituk (Veszprem) MSC: 34K20 93C23 34K35 PDF BibTeX XML Cite \textit{K. Gu} and \textit{S.-I. Niculescu}, IEEE Trans. Autom. Control 45, No. 3, 572--575 (2000; Zbl 0986.34066) Full Text: DOI
Liao, X. X.; Mao, X. Exponential stability of stochastic delay interval systems. (English) Zbl 0949.60068 Syst. Control Lett. 40, No. 3, 171-181 (2000). MSC: 60H10 PDF BibTeX XML Cite \textit{X. X. Liao} and \textit{X. Mao}, Syst. Control Lett. 40, No. 3, 171--181 (2000; Zbl 0949.60068) Full Text: DOI
Xu, Bugong Delay-independent stability criteria for single and composite linear systems with multiple time-varying delays. (English) Zbl 1020.93018 Control Theory Appl. 16, No. 3, 373-379 (1999). Reviewer: Alexandra Rodkina (Monastir) MSC: 93D20 93C23 PDF BibTeX XML Cite \textit{B. Xu}, Control Theory Appl. 16, No. 3, 373--379 (1999; Zbl 1020.93018)
Teel, Andrew R. Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem. (English) Zbl 0952.93121 IEEE Trans. Autom. Control 43, No. 7, 960-964 (1998). MSC: 93D21 34K20 93D05 PDF BibTeX XML Cite \textit{A. R. Teel}, IEEE Trans. Autom. Control 43, No. 7, 960--964 (1998; Zbl 0952.93121) Full Text: DOI
Hmamed, A. Further results on the robust stability of linear systems including delayed perturbations. (English) Zbl 1422.93150 Automatica 33, No. 9, 1763-1765 (1997). MSC: 93D09 93D20 93C23 93C73 93C41 93C05 PDF BibTeX XML Cite \textit{A. Hmamed}, Automatica 33, No. 9, 1763--1765 (1997; Zbl 1422.93150) Full Text: DOI
Trinh, H.; Aldeen, M. On robustness and stabilization of linear systems with delayed nonlinear perturbations. (English) Zbl 0881.34084 IEEE Trans. Autom. Control 42, No. 7, 1005-1007 (1997). MSC: 34K35 93D20 49J15 PDF BibTeX XML Cite \textit{H. Trinh} and \textit{M. Aldeen}, IEEE Trans. Autom. Control 42, No. 7, 1005--1007 (1997; Zbl 0881.34084) Full Text: DOI
Mao, Xuerong Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. (English) Zbl 0876.60047 SIAM J. Math. Anal. 28, No. 2, 389-401 (1997). MSC: 60H20 34D08 60G48 PDF BibTeX XML Cite \textit{X. Mao}, SIAM J. Math. Anal. 28, No. 2, 389--401 (1997; Zbl 0876.60047) Full Text: DOI
Lee, Chien-Hua; Li, Tzuu-Hseng S.; Kung, Fan-Chu Characteristic root region testing for linear continuous time-delay systems with a class of highly structured perturbations. (English) Zbl 0851.93059 Syst. Anal. Modelling Simulation 21, No. 1, 1-12 (1995). MSC: 93D09 34K35 PDF BibTeX XML Cite \textit{C.-H. Lee} et al., Syst. Anal. Modell. Simul. 21, No. 1, 1--12 (1995; Zbl 0851.93059)
Deng, Feiqi; Zhao, Yupeng Uniform stability of certain nonlinear systems of neutral functional differential equations with infinite delay. (English) Zbl 0838.34088 J. Math. Res. Expo. 15, No. 1, 35-39 (1995). Reviewer: J.Wu (North York) MSC: 34K20 34K40 PDF BibTeX XML Cite \textit{F. Deng} and \textit{Y. Zhao}, J. Math. Res. Expo. 15, No. 1, 35--39 (1995; Zbl 0838.34088)
Chen, Boshan The asymptotic behavior of some differential equations with unbounded delay. (Chinese) Zbl 0738.34038 Acta Math. Sin. 34, No. 2, 277-285 (1991). Reviewer: Yong Jiongmin (Shanghai) MSC: 34K20 34K99 PDF BibTeX XML Cite \textit{B. Chen}, Acta Math. Sin. 34, No. 2, 277--285 (1991; Zbl 0738.34038)
Wu, Jianhong Lyapunov function method for functional differential equations. (English) Zbl 0721.34087 Northeast. Math. J. 6, No. 1, 115-126 (1990). MSC: 34K20 34D20 PDF BibTeX XML Cite \textit{J. Wu}, Northeast. Math. J. 6, No. 1, 115--126 (1990; Zbl 0721.34087)
Krisztin, T. Asymptotic estimation for functional differential equations via Lyapunov functions. (English) Zbl 0713.34077 Qualitative theory of differential equations, 3rd Colloq., Szeged/Hung. 1988, Colloq. Math. Soc. János Bolyai 53, 365-376 (1990). Reviewer: R.S.Dahiya MSC: 34K25 PDF BibTeX XML
Yuan, Rong Existence of almost periodic solution of functional-differential equations with infinite delay. (Chinese. English summary) Zbl 0705.34081 J. Nanjing Univ., Math. Biq. 7, No. 1, 85-93 (1990). MSC: 34K99 34K20 34C27 34D20 PDF BibTeX XML Cite \textit{R. Yuan}, J. Nanjing Univ., Math. Biq. 7, No. 1, 85--93 (1990; Zbl 0705.34081)
Okoronkwo, Emmanuel O. On stability and boundedness of solutions of a certain fourth-order delay differential equation. (English) Zbl 0697.34063 Int. J. Math. Math. Sci. 12, No. 3, 589-602 (1989). Reviewer: L.I.Grimm MSC: 34K99 34K20 34D20 34C11 PDF BibTeX XML Cite \textit{E. O. Okoronkwo}, Int. J. Math. Math. Sci. 12, No. 3, 589--602 (1989; Zbl 0697.34063) Full Text: DOI EuDML
Pozio, M. A. Decay estimates for partial functional differential equations. (English) Zbl 0505.45004 Nonlinear Anal., Theory Methods Appl. 6, 1253-1266 (1982). MSC: 45K05 45J05 45M05 45M10 92D25 PDF BibTeX XML Cite \textit{M. A. Pozio}, Nonlinear Anal., Theory Methods Appl. 6, 1253--1266 (1982; Zbl 0505.45004) Full Text: DOI
Furumochi, Tetsuo Periodic solutions of functional differential equations with large delays. (English) Zbl 0487.34079 Funkc. Ekvacioj, Ser. Int. 25, 33-42 (1982). MSC: 34K99 34C25 34A40 PDF BibTeX XML Cite \textit{T. Furumochi}, Funkc. Ekvacioj, Ser. Int. 25, 33--42 (1982; Zbl 0487.34079)
Furumochi, Tetsuo Periodic solutions of functional differential equations. (English) Zbl 0496.34049 Qualitative theory of solutions in functional differential equations, Proc. Symp., Kyoto 1981, RIMS Kokyuroku 432, 97-104 (1981). MSC: 34K99 34C25 34D20 PDF BibTeX XML