Bouzelmate, A.; El Hathout, M. Asymptotic analysis of a nonlinear elliptic equation with a gradient term. (English) Zbl 1524.35006 Nonlinear Dyn. Syst. Theory 22, No. 3, 243-262 (2022). MSC: 35A01 35J60 35B08 35B09 35B40 35C06 70K20 70K42 93C10 93C15 PDFBibTeX XMLCite \textit{A. Bouzelmate} and \textit{M. El Hathout}, Nonlinear Dyn. Syst. Theory 22, No. 3, 243--262 (2022; Zbl 1524.35006) Full Text: Link
Huo, Haifeng; Zhang, Fanhong; Xiang, Hong Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response. (English) Zbl 1511.92054 Math. Biosci. Eng. 19, No. 12, 12180-12211 (2022). Reviewer: Fengde Chen (Fuzhou) MSC: 92D25 92D40 93D20 34C25 34A37 35K57 PDFBibTeX XMLCite \textit{H. Huo} et al., Math. Biosci. Eng. 19, No. 12, 12180--12211 (2022; Zbl 1511.92054) Full Text: DOI
Jia, Lili Analysis for a delayed three-species predator-prey model with feedback controls and prey diffusion. (English) Zbl 1448.92201 J. Math. 2020, Article ID 5703859, 26 p. (2020). MSC: 92D25 34K20 34K13 93B52 PDFBibTeX XMLCite \textit{L. Jia}, J. Math. 2020, Article ID 5703859, 26 p. (2020; Zbl 1448.92201)
Liu, Jianzhou; Zhang, Juan; Luo, Fangfang Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control. (English) Zbl 1463.65092 Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020). MSC: 65F45 15A24 93E20 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020; Zbl 1463.65092) Full Text: DOI
Li, Qian; Xiao, Yanni Analysis of a mathematical model with nonlinear susceptibles-guided interventions. (English) Zbl 1497.92276 Math. Biosci. Eng. 16, No. 5, 5551-5583 (2019). MSC: 92D30 34A37 93B52 34C25 34C23 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Y. Xiao}, Math. Biosci. Eng. 16, No. 5, 5551--5583 (2019; Zbl 1497.92276) Full Text: DOI
Kaczorek, Tadeusz Positivity of fractional descriptor linear discrete-time systems. (English) Zbl 1430.93099 Int. J. Appl. Math. Comput. Sci. 29, No. 2, 305-310 (2019). MSC: 93C28 93C55 93C15 26A33 93C05 PDFBibTeX XMLCite \textit{T. Kaczorek}, Int. J. Appl. Math. Comput. Sci. 29, No. 2, 305--310 (2019; Zbl 1430.93099) Full Text: DOI
Carapito, Ana C. Stabilization criteria of a class of switched systems. (English) Zbl 1432.93257 Math. Methods Appl. Sci. 42, No. 17, 5827-5833 (2019). MSC: 93D05 93C28 93C30 93C05 PDFBibTeX XMLCite \textit{A. C. Carapito}, Math. Methods Appl. Sci. 42, No. 17, 5827--5833 (2019; Zbl 1432.93257) Full Text: DOI
Mansouri, Mahmoud; Nassiri, Kameleh Positivity of continuous time irregular linear descriptor systems. (English) Zbl 1432.93125 Turk. J. Math. 43, No. 5, 2161-2169 (2019). MSC: 93C05 93C28 15B48 PDFBibTeX XMLCite \textit{M. Mansouri} and \textit{K. Nassiri}, Turk. J. Math. 43, No. 5, 2161--2169 (2019; Zbl 1432.93125) Full Text: Link
Li, Qian; Xiao, Yanni Dynamical behavior and bifurcation analysis of the SIR model with continuous treatment and state-dependent impulsive control. (English) Zbl 1439.34051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 10, Article ID 1950131, 22 p. (2019). MSC: 34C60 92D30 34A37 34C05 34D20 34C23 34C28 93B52 34D05 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Y. Xiao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 10, Article ID 1950131, 22 p. (2019; Zbl 1439.34051) Full Text: DOI
Gumus, Mehmet; Xu, Jianhong On common \(\alpha\)-scalar Lyapunov solutions. (English) Zbl 1405.15026 Linear Algebra Appl. 563, 123-141 (2019). MSC: 15A45 15B48 34D20 37C75 93D05 PDFBibTeX XMLCite \textit{M. Gumus} and \textit{J. Xu}, Linear Algebra Appl. 563, 123--141 (2019; Zbl 1405.15026) Full Text: DOI
Aleksandrov, A. Yu. Construction of the Lyapunov-Krasovskii functionals for some classes of positive delay systems. (English. Russian original) Zbl 1411.93092 Sib. Math. J. 59, No. 5, 753-762 (2018); translation from Sib. Mat. Zh. 59, No. 5, 957-969 (2018). MSC: 93C23 93C30 93D09 93D30 93C05 34K20 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov}, Sib. Math. J. 59, No. 5, 753--762 (2018; Zbl 1411.93092); translation from Sib. Mat. Zh. 59, No. 5, 957--969 (2018) Full Text: DOI
Zang, Yanchao; Hou, Pingjun; Tian, Yuzhu Stability in distribution of stochastic Lotka-Volterra delay system under regime switching. (English) Zbl 1403.37063 Stoch. Dyn. 18, No. 5, Article ID 1850041, 22 p. (2018). MSC: 37H10 93E03 93E15 PDFBibTeX XMLCite \textit{Y. Zang} et al., Stoch. Dyn. 18, No. 5, Article ID 1850041, 22 p. (2018; Zbl 1403.37063) Full Text: DOI
Liu, Xinyi; Zeng, Zhijun Existence and nonexistence of positive solutions for Dirichlet-type boundary value problem of nonlinear fractional differential equation. (English) Zbl 1412.93011 J. Nonlinear Sci. Appl. 10, No. 3, 1051-1063 (2017). MSC: 93B05 93C05 93C55 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Zeng}, J. Nonlinear Sci. Appl. 10, No. 3, 1051--1063 (2017; Zbl 1412.93011) Full Text: DOI
Nadjafikhah, Mehdi; Shagholi, Saeid Mathematical modeling of optimized SIRS epidemic model and some dynamical behaviors of the solution. (English) Zbl 1387.35107 Int. J. Nonlinear Anal. Appl. 8, No. 2, 125-134 (2017). MSC: 35F50 92D30 93A30 PDFBibTeX XMLCite \textit{M. Nadjafikhah} and \textit{S. Shagholi}, Int. J. Nonlinear Anal. Appl. 8, No. 2, 125--134 (2017; Zbl 1387.35107) Full Text: DOI
Fu, Jinbo; Chen, Lansun Positive periodic solution of multiple species comptition system with ecological environment and feedback controls. (Chinese. English summary) Zbl 1389.34258 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 3, 553-561 (2017). MSC: 34K60 92D25 92D40 93B52 47N20 34K13 34K20 PDFBibTeX XMLCite \textit{J. Fu} and \textit{L. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 3, 553--561 (2017; Zbl 1389.34258)
Chiang, Chun-Yueh An accelerated technique for solving the positive definite solutions of a class of nonlinear matrix equations. (English) Zbl 1373.93147 J. Franklin Inst. 354, No. 15, 7088-7118 (2017). MSC: 93C10 93B40 15A24 PDFBibTeX XMLCite \textit{C.-Y. Chiang}, J. Franklin Inst. 354, No. 15, 7088--7118 (2017; Zbl 1373.93147) Full Text: DOI
Góra, Michał Some methods of construction of a common Lyapunov solution to a finite set of complex systems. (English) Zbl 1368.15018 Linear Algebra Appl. 530, 77-93 (2017). MSC: 15A45 15B48 34D20 93D05 93D09 93D30 PDFBibTeX XMLCite \textit{M. Góra}, Linear Algebra Appl. 530, 77--93 (2017; Zbl 1368.15018) Full Text: DOI
Lu, Hongying Periodicity and stability of an impulsive nonlinear competition model with infinitely distributed delays and feedback controls. (English) Zbl 1418.92118 Adv. Difference Equ. 2016, Paper No. 282, 24 p. (2016). MSC: 92D25 34C25 34D20 34D23 93D20 93D30 PDFBibTeX XMLCite \textit{H. Lu}, Adv. Difference Equ. 2016, Paper No. 282, 24 p. (2016; Zbl 1418.92118) Full Text: DOI
Huang, Zuda Positive pseudo almost periodic solutions for a delayed Nicholson’s blowflies model with a feedback control. (Chinese. English summary) Zbl 1363.34285 Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 3, 558-568 (2016). MSC: 34K60 34K14 34K20 92D25 93B52 34K38 PDFBibTeX XMLCite \textit{Z. Huang}, Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 3, 558--568 (2016; Zbl 1363.34285)
Gumus, Mehmet; Xu, Jianhong On common diagonal Lyapunov solutions. (English) Zbl 1382.93029 Linear Algebra Appl. 507, 32-50 (2016). MSC: 93D30 15A18 15A45 15B48 34D20 93D05 PDFBibTeX XMLCite \textit{M. Gumus} and \textit{J. Xu}, Linear Algebra Appl. 507, 32--50 (2016; Zbl 1382.93029) Full Text: DOI
Wang, Rong; Jia, Yunfeng Analysis on bifurcation for a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting. (English) Zbl 1349.35195 Acta Appl. Math. 143, No. 1, 15-27 (2016). MSC: 35K57 92D25 93C20 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Jia}, Acta Appl. Math. 143, No. 1, 15--27 (2016; Zbl 1349.35195) Full Text: DOI
Guo, Chun-Hua; Yu, Bo A convergence result for matrix Riccati differential equations associated with \(m\)-matrices. (English) Zbl 1357.34034 Taiwanese J. Math. 19, No. 1, 77-89 (2015). MSC: 34A45 15B48 93C05 34D05 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{B. Yu}, Taiwanese J. Math. 19, No. 1, 77--89 (2015; Zbl 1357.34034) Full Text: DOI
Chen, Lijuan; Chen, Fengde Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. (English) Zbl 1312.39005 Int. J. Biomath. 8, No. 1, Article ID 1550012, 13 p. (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 92D25 93B52 39A10 PDFBibTeX XMLCite \textit{L. Chen} and \textit{F. Chen}, Int. J. Biomath. 8, No. 1, Article ID 1550012, 13 p. (2015; Zbl 1312.39005) Full Text: DOI
Nie, Lin-Fei; Teng, Zhi-Dong; Jung, Il Hyo Complex dynamic behavior in a viral model with state feedback control strategies. (English) Zbl 1331.92148 Nonlinear Dyn. 77, No. 4, 1223-1236 (2014). MSC: 92D30 93B52 93D05 34D05 PDFBibTeX XMLCite \textit{L.-F. Nie} et al., Nonlinear Dyn. 77, No. 4, 1223--1236 (2014; Zbl 1331.92148) Full Text: DOI Link
Duan, Xue-Feng; Wang, Qing-Wen; Li, Chun-Mei Positive definite solution of a class of nonlinear matrix equation. (English) Zbl 1302.65099 Linear Multilinear Algebra 62, No. 6, 839-852 (2014). Reviewer: Mihail Voicu (Iaşi) MSC: 65F30 15A24 93E25 PDFBibTeX XMLCite \textit{X.-F. Duan} et al., Linear Multilinear Algebra 62, No. 6, 839--852 (2014; Zbl 1302.65099) Full Text: DOI
Du, Chaoxiong; Wu, Yusen Existence of positive periodic solutions for a generalized predator-prey model with diffusion feedback controls. (English) Zbl 1380.92051 Adv. Difference Equ. 2013, Paper No. 52, 14 p. (2013). MSC: 92D25 34K13 93B52 PDFBibTeX XMLCite \textit{C. Du} and \textit{Y. Wu}, Adv. Difference Equ. 2013, Paper No. 52, 14 p. (2013; Zbl 1380.92051) Full Text: DOI
Ivanov, I.; Gramatikova, D. The maximal nonnegative solution to the discrete time algebraic Riccati equation. (English) Zbl 1360.93391 J. Numer. Math. Stoch. 5, No. 1, 63-71 (2013). MSC: 93C55 49N10 65F30 15A24 PDFBibTeX XMLCite \textit{I. Ivanov} and \textit{D. Gramatikova}, J. Numer. Math. Stoch. 5, No. 1, 63--71 (2013; Zbl 1360.93391) Full Text: Link
Xu, Jianhong Unified, improved matrix upper bound on the solution of the continuous coupled algebraic Riccati equation. (English) Zbl 1293.93375 J. Franklin Inst. 350, No. 6, 1634-1648 (2013). MSC: 93B60 PDFBibTeX XMLCite \textit{J. Xu}, J. Franklin Inst. 350, No. 6, 1634--1648 (2013; Zbl 1293.93375) Full Text: DOI
Trinh, Anh Tuan Existence and global asymptotic stability of positive periodic solutions of a Lotka-Volterra type competition systems with delays and feedback controls. (English) Zbl 1293.34108 Electron. J. Differ. Equ. 2013, Paper No. 261, 16 p. (2013). MSC: 34K60 34K13 92D25 93B52 47N20 34K20 PDFBibTeX XMLCite \textit{A. T. Trinh}, Electron. J. Differ. Equ. 2013, Paper No. 261, 16 p. (2013; Zbl 1293.34108) Full Text: EMIS
Wang, Yong; Jiang, Weihua; Wang, Hongbin Stability and global Hopf bifurcation in toxic phytoplankton-zooplankton model with delay and selective harvesting. (English) Zbl 1281.92074 Nonlinear Dyn. 73, No. 1-2, 881-896 (2013). MSC: 92D40 93D05 34C23 34C25 93D20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Nonlinear Dyn. 73, No. 1--2, 881--896 (2013; Zbl 1281.92074) Full Text: DOI
Chiang, Chun-Yueh; Fan, Hung-Yuan Residual bounds of the stochastic algebraic Riccati equation. (English) Zbl 1256.93110 Appl. Numer. Math. 63, 78-87 (2013). MSC: 93E12 60H10 49N10 PDFBibTeX XMLCite \textit{C.-Y. Chiang} and \textit{H.-Y. Fan}, Appl. Numer. Math. 63, 78--87 (2013; Zbl 1256.93110) Full Text: DOI
Rüffer, Björn S.; Wirth, Fabian R. Stability verification for monotone systems using homotopy algorithms. (English) Zbl 1229.93115 Numer. Algorithms 58, No. 4, 529-543 (2011). MSC: 93C55 47H07 65H20 93B28 PDFBibTeX XMLCite \textit{B. S. Rüffer} and \textit{F. R. Wirth}, Numer. Algorithms 58, No. 4, 529--543 (2011; Zbl 1229.93115) Full Text: DOI arXiv
Anh, Trinh Tuan; Trung, Tong Thanh On the asymptotic behavior of solutions and positive almost periodic solution for predator-prey system with the Holling type II functional response. (English) Zbl 1218.92065 Vietnam J. Math. 39, No. 1, 105-123 (2011). MSC: 92D40 34D23 34C27 34D05 93A30 PDFBibTeX XMLCite \textit{T. T. Anh} and \textit{T. T. Trung}, Vietnam J. Math. 39, No. 1, 105--123 (2011; Zbl 1218.92065) Full Text: Link
Mazenc, Frédéric; Niculescu, Silviu-Iulian Generating positive and stable solutions through delayed state feedback. (English) Zbl 1216.93064 Automatica 47, No. 3, 525-533 (2011). MSC: 93C10 93D20 PDFBibTeX XMLCite \textit{F. Mazenc} and \textit{S.-I. Niculescu}, Automatica 47, No. 3, 525--533 (2011; Zbl 1216.93064) Full Text: DOI
Ivanov, I. G.; Rusinova, R. I.; Lomev, B. M. Accelerated iterations for finding the soft-constrained stochastic Nash games equilibrium. (English) Zbl 1231.93116 Todorov, Michail D. (ed.) et al., Application of mathematics in technical and natural sciences. Proceedings of the 2nd international conference (AMiTaNS’10), Sozopol, Bulgaria, June 21–26, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0856-2/pbk). AIP Conference Proceedings 1301, 97-106 (2010). MSC: 93E20 91A15 49N70 49M30 PDFBibTeX XMLCite \textit{I. G. Ivanov} et al., AIP Conf. Proc. 1301, 97--106 (2010; Zbl 1231.93116) Full Text: DOI
Du, Ruixia; Liu, Ping; Luo, Yong Analysis of positive periodic solutions of nonlinear functional differential system with feedback control and a parameter. (English) Zbl 1224.34227 J. Math. Study 43, No. 1, 1-10 (2010). MSC: 34K13 34K35 93B52 93C23 PDFBibTeX XMLCite \textit{R. Du} et al., J. Math. Study 43, No. 1, 1--10 (2010; Zbl 1224.34227)
Wang, Limin; Chen, Lansun; Nieto, Juan J. The dynamics of an epidemic model for pest control with impulsive effect. (English) Zbl 1188.93038 Nonlinear Anal., Real World Appl. 11, No. 3, 1374-1386 (2010). MSC: 93C15 34H10 34D23 34C25 92C60 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Anal., Real World Appl. 11, No. 3, 1374--1386 (2010; Zbl 1188.93038) Full Text: DOI
Guo, Pengfei; Zhu, Xianyang; Li, Yongkun Two positive periodic solutions of delay functional difference system with feedback control. (English) Zbl 1199.39031 Chin. Q. J. Math. 24, No. 1, 102-107 (2009). MSC: 39A23 39A12 34K13 93B52 PDFBibTeX XMLCite \textit{P. Guo} et al., Chin. Q. J. Math. 24, No. 1, 102--107 (2009; Zbl 1199.39031)
Ivanov, Ivan Ganchev Stein iterations for the coupled discrete-time Riccati equations. (English) Zbl 1190.65066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6244-6253 (2009). Reviewer: Edgar Pereira (Covilha) MSC: 65F30 65F10 93C55 65K10 49N10 15A24 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6244--6253 (2009; Zbl 1190.65066) Full Text: DOI
Niu, Chengying; Chen, Xiaoxing Almost periodic sequence solutions of a discrete Lotka-Volterra competitive system with feedback control. (English) Zbl 1172.39014 Nonlinear Anal., Real World Appl. 10, No. 5, 3152-3161 (2009). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 39A11 39A12 93D15 PDFBibTeX XMLCite \textit{C. Niu} and \textit{X. Chen}, Nonlinear Anal., Real World Appl. 10, No. 5, 3152--3161 (2009; Zbl 1172.39014) Full Text: DOI
Li, Yongkun Positive periodic solutions for neutral functional differential equations with distributed delays and feedback control. (English) Zbl 1156.34341 Nonlinear Anal., Real World Appl. 9, No. 5, 2214-2221 (2008). MSC: 34K13 93B52 PDFBibTeX XMLCite \textit{Y. Li}, Nonlinear Anal., Real World Appl. 9, No. 5, 2214--2221 (2008; Zbl 1156.34341) Full Text: DOI
Yang, Fan; Feng, Yifu; Zhang, Qingling Existence and global asymptotic stability of positive solution in competitive system with feedback controls. (English) Zbl 1169.34326 Int. J. Inf. Syst. Sci. 4, No. 1, 136-141 (2008). Reviewer: Peter Giesl (Brighton) MSC: 34C60 34C25 92D25 47N20 93B52 PDFBibTeX XMLCite \textit{F. Yang} et al., Int. J. Inf. Syst. Sci. 4, No. 1, 136--141 (2008; Zbl 1169.34326)
Cantó, Begoña; Coll, Carmen; Sánchez, Elena Positive solutions of a discrete-time descriptor system. (English) Zbl 1138.93034 Int. J. Syst. Sci. 39, No. 1, 81-88 (2008). MSC: 93C55 15B48 PDFBibTeX XMLCite \textit{B. Cantó} et al., Int. J. Syst. Sci. 39, No. 1, 81--88 (2008; Zbl 1138.93034) Full Text: DOI
Abo-Sinna, Mahmoud A.; Amer, Azza H.; Ibrahim, Ashraf S. Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure. (English) Zbl 1141.93365 Appl. Math. Modelling 32, No. 3, 292-302 (2008). MSC: 93C42 93A15 90C30 90C29 PDFBibTeX XMLCite \textit{M. A. Abo-Sinna} et al., Appl. Math. Modelling 32, No. 3, 292--302 (2008; Zbl 1141.93365) Full Text: DOI
Ivanov, Ivan Ganchev Iterations for solving a rational Riccati equation arising in stochastic control. (English) Zbl 1127.65025 Comput. Math. Appl. 53, No. 6, 977-988 (2007). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 65F30 93E20 15A24 65K10 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Comput. Math. Appl. 53, No. 6, 977--988 (2007; Zbl 1127.65025) Full Text: DOI
Xu, Shufang; Cheng, Mingsong On the solvability for the mixed-type Lyapunov equation. (English) Zbl 1129.15014 IMA J. Appl. Math. 71, No. 2, 287-294 (2006). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A24 93D05 PDFBibTeX XMLCite \textit{S. Xu} and \textit{M. Cheng}, IMA J. Appl. Math. 71, No. 2, 287--294 (2006; Zbl 1129.15014) Full Text: DOI
Arov, Damir Z.; Staffans, Olof J. The infinite-dimensional continuous time Kalman–Yakubovich–Popov inequality. (English) Zbl 1111.47013 Dritschel, Michael A. (ed.), The extended field of operator theory. Containing lectures of the 15th international workshop on operator theory and its applications, IWOTA 2004, Newcastle, Uk, July 12–16, 2004. Basel: Birkhäuser (ISBN 978-3-7643-7979-7/hbk; 978-3-7643-7980-3/e-book). Operator Theory: Advances and Applications 171, 37-72 (2006). Reviewer: Jin Liang (Hefei) MSC: 47A48 93B28 93C05 47A63 PDFBibTeX XMLCite \textit{D. Z. Arov} and \textit{O. J. Staffans}, Oper. Theory: Adv. Appl. 171, 37--72 (2006; Zbl 1111.47013)
Kaczorek, Tadeusz Reachability and minimum energy control of positive 2D systems with delays. (English) Zbl 1167.93359 Control Cybern. 34, No. 2, 411-423 (2005). MSC: 93C35 49N10 93B05 PDFBibTeX XMLCite \textit{T. Kaczorek}, Control Cybern. 34, No. 2, 411--423 (2005; Zbl 1167.93359) Full Text: EuDML
El-Sayed, Salah M. On iterative algorithms for solving the matrix equation \(X+A^*X^{-1}=I\). (English) Zbl 1169.65311 Glob. J. Pure Appl. Math. 1, No. 2, 203-215 (2005). MSC: 65F10 15A24 93B40 PDFBibTeX XMLCite \textit{S. M. El-Sayed}, Glob. J. Pure Appl. Math. 1, No. 2, 203--215 (2005; Zbl 1169.65311) Full Text: Link
Li, Yongkun; Zhu, Lifei Existence of positive periodic solutions for difference equations with feedback control. (English) Zbl 1085.39009 Appl. Math. Lett. 18, No. 1, 61-67 (2005). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 39A11 93B52 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhu}, Appl. Math. Lett. 18, No. 1, 61--67 (2005; Zbl 1085.39009) Full Text: DOI
Zeng, Yongfu; Xu, Daoyi Persistence and asymptotic stability of periodic Lotka-Volterra system with delays. (English) Zbl 1071.45009 J. Sichuan Univ., Nat. Sci. Ed. 41, No. 1, 29-32 (2004). Reviewer: D. M. Bors (Iaşi) MSC: 45J05 45M05 45M10 93B52 45M15 45M20 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{D. Xu}, J. Sichuan Univ., Nat. Sci. Ed. 41, No. 1, 29--32 (2004; Zbl 1071.45009)
Sun, Ji-Guang Backward perturbation analysis of the periodic discrete-time algebraic Riccati equation. (English) Zbl 1112.93023 SIAM J. Matrix Anal. Appl. 26, No. 1, 1-19 (2004). MSC: 93B40 15A24 39A11 PDFBibTeX XMLCite \textit{J.-G. Sun}, SIAM J. Matrix Anal. Appl. 26, No. 1, 1--19 (2004; Zbl 1112.93023) Full Text: DOI
Li, Yongkun; Zhu, Lifei Positive periodic solutions for a class of higher-dimensional state-dependent delay functional differential equations with feedback control. (English) Zbl 1161.34346 Appl. Math. Comput. 159, No. 3, 783-795 (2004). MSC: 34K13 93B52 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhu}, Appl. Math. Comput. 159, No. 3, 783--795 (2004; Zbl 1161.34346) Full Text: DOI
Fan, Guihong; Li, Yongkun; Qin, Maochang. The existence of positive periodic solutions for periodic feedback control systems with delays. (English) Zbl 1118.34328 ZAMM, Z. Angew. Math. Mech. 84, No. 6, 425-430 (2004). Reviewer: Klaus R. Schneider (Berlin) MSC: 34K13 92D25 93B52 34K35 PDFBibTeX XMLCite \textit{G. Fan} et al., ZAMM, Z. Angew. Math. Mech. 84, No. 6, 425--430 (2004; Zbl 1118.34328) Full Text: DOI
El-Sayed, Salah M. An algorithm for computing positive definite solutions of the nonlinear matrix equation \(X+A^{\ast}X^{-1}A=I\). (English) Zbl 1049.65033 Int. J. Comput. Math. 80, No. 12, 1527-1534 (2003). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65F30 15A24 65F10 65H10 93B40 93C55 PDFBibTeX XMLCite \textit{S. M. El-Sayed}, Int. J. Comput. Math. 80, No. 12, 1527--1534 (2003; Zbl 1049.65033) Full Text: DOI
Anderson, Douglas R.; Hoffacker, Joan Green’s function for an even order mixed derivative problem on time scales. (English) Zbl 1049.39019 Dyn. Syst. Appl. 12, No. 1-2, 9-22 (2003). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A12 34B10 34B27 93C70 PDFBibTeX XMLCite \textit{D. R. Anderson} and \textit{J. Hoffacker}, Dyn. Syst. Appl. 12, No. 1--2, 9--22 (2003; Zbl 1049.39019)
Anderson, Douglas R. Extension of a second-order multi-point problem to time scales. (English) Zbl 1048.39010 Dyn. Syst. Appl. 12, No. 3-4, 393-403 (2003). Reviewer: Vladimir Răsvan (Compiègne) MSC: 39A12 93C70 39A11 34B10 34B18 PDFBibTeX XMLCite \textit{D. R. Anderson}, Dyn. Syst. Appl. 12, No. 3--4, 393--403 (2003; Zbl 1048.39010)
Liu, Ping; Li, Yongkun Multiple positive periodic solutions of nonlinear functional differential system with feedback control. (English) Zbl 1045.34045 J. Math. Anal. Appl. 288, No. 2, 819-832 (2003). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 34K13 34K35 93C23 93B52 PDFBibTeX XMLCite \textit{P. Liu} and \textit{Y. Li}, J. Math. Anal. Appl. 288, No. 2, 819--832 (2003; Zbl 1045.34045) Full Text: DOI
Huo, Haifeng; Xiang, Hong; Wang, Baiyan; Sun, Jianping Periodic solution of a delayed single species model with feedback control. (English) Zbl 1037.92030 J. Gansu Univ. Technol., Engl. Ed. 6, No. 1, 102-105 (2002). MSC: 92D25 34K13 34K60 93D15 PDFBibTeX XMLCite \textit{H. Huo} et al., J. Gansu Univ. Technol., Engl. Ed. 6, No. 1, 102--105 (2002; Zbl 1037.92030)
Liu, Shutang; Deng, Feiqi; Liu, Yongqing Existence of positive solutions of delay 2-D neutral discrete state models. (Chinese. English summary) Zbl 1035.93040 Control Theory Appl. 19, No. 6, 851-854 (2002). Reviewer: Jinde Cao (Nanjing) MSC: 93C35 93C55 PDFBibTeX XMLCite \textit{S. Liu} et al., Control Theory Appl. 19, No. 6, 851--854 (2002; Zbl 1035.93040)
Lin, Wen-Wei; Sun, Ji-guang Perturbation analysis of the periodic discrete-time algebraic Riccati equation. (English) Zbl 1021.15009 SIAM J. Matrix Anal. Appl. 24, No. 2, 411-438 (2002). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A24 93B35 65F30 93C55 PDFBibTeX XMLCite \textit{W.-W. Lin} and \textit{J.-g. Sun}, SIAM J. Matrix Anal. Appl. 24, No. 2, 411--438 (2002; Zbl 1021.15009) Full Text: DOI
Avery, Richard I.; Anderson, Douglas R. Existence of three positive solutions to a second-order boundary value problem on a measure chain. (English) Zbl 1032.39009 J. Comput. Appl. Math. 141, No. 1-2, 65-73 (2002). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A12 93C70 34B24 39A11 PDFBibTeX XMLCite \textit{R. I. Avery} and \textit{D. R. Anderson}, J. Comput. Appl. Math. 141, No. 1--2, 65--73 (2002; Zbl 1032.39009) Full Text: DOI
Fragoso, Marcelo D.; Baczynski, Jack Optimal control for continuous-time linear quadratic problems with infinite Markov jump parameters. (English) Zbl 1058.93058 SIAM J. Control Optimization 40, No. 1, 270-297 (2001). Reviewer: Chengxun Wu (Shanghai) MSC: 93E20 93C05 60J75 60J27 PDFBibTeX XMLCite \textit{M. D. Fragoso} and \textit{J. Baczynski}, SIAM J. Control Optim. 40, No. 1, 270--297 (2001; Zbl 1058.93058) Full Text: DOI
Chen, Yangzhou; Chen, Shanben Existence of positive definite solution to periodic Riccati differential equation. (English) Zbl 0996.93077 Control Theory Appl. 18, No. 3, 341-345 (2001). Reviewer: Jihong Dou (Xian) MSC: 93D15 15A24 49N10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{S. Chen}, Control Theory Appl. 18, No. 3, 341--345 (2001; Zbl 0996.93077)
Li, Xuejun; Zhang, Kaiyuan Lower and upper bounds of the solution for the discrete-time algebraic Riccati equation. (Chinese. English summary) Zbl 1013.65037 Math. Appl. 13, No. 1, 94-97 (2000). MSC: 65F30 65F15 65K10 93C55 15A24 15A42 65F40 PDFBibTeX XMLCite \textit{X. Li} and \textit{K. Zhang}, Math. Appl. 13, No. 1, 94--97 (2000; Zbl 1013.65037)
Weng, Peixuan Existence and global stability of positive periodic solution of periodic integro-differential systems with feedback controls. (English) Zbl 0962.45003 Comput. Math. Appl. 40, No. 6-7, 747-759 (2000). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 45M05 92D25 45J05 45M20 34K50 93B52 45M10 45M15 PDFBibTeX XMLCite \textit{P. Weng}, Comput. Math. Appl. 40, No. 6--7, 747--759 (2000; Zbl 0962.45003) Full Text: DOI
Luther, Wolfram; Otten, Werner Verified calculation of the solution of algebraic Riccati equation. (English) Zbl 0951.65040 Csendes, Tibor (ed.), Developments in reliable computing. SCAN-98 conference, 8th international symposium on Scientific computing, computer arithmetic and validated numerics. Budapest, Hungary, September 22-25, 1998. Dordrecht: Kluwer Academic Publishers. 105-118 (1999). MSC: 65F30 93C15 93B52 15A24 65G20 PDFBibTeX XMLCite \textit{W. Luther} and \textit{W. Otten}, in: Developments in reliable computing. SCAN-98 conference, 8th international symposium on Scientific computing, computer arithmetic and validated numerics. Budapest, Hungary, September 22--25, 1998. Dordrecht: Kluwer Academic Publishers. 105--118 (1999; Zbl 0951.65040)
Wang, Kang; Zheng, Hairao; Qiu, Wei Discrete \((J,J')\)-lossless factorization. (English) Zbl 0931.93032 Wuhan Univ. J. Nat. Sci. 4, No. 1, 15-20 (1999). Reviewer: C.Vârsan (Bucureşti) MSC: 93C05 15A23 93C55 PDFBibTeX XMLCite \textit{K. Wang} et al., Wuhan Univ. J. Nat. Sci. 4, No. 1, 15--20 (1999; Zbl 0931.93032) Full Text: DOI
Yau, Shing-Tung; Yau, Stephen S.-T. Existence and decay estimates for time dependent parabolic equation with application to Duncan-Mortensen-Zakai equation. (English) Zbl 0953.35052 Asian J. Math. 2, No. 4, 1079-1149 (1998). Reviewer: L.A.Fernandez (Santander) MSC: 35K10 35B40 93E20 35B05 PDFBibTeX XMLCite \textit{S.-T. Yau} and \textit{S. S. T. Yau}, Asian J. Math. 2, No. 4, 1079--1149 (1998; Zbl 0953.35052) Full Text: DOI
Sun, Ji-guang Perturbation theory for algebraic Riccati equations. (English) Zbl 0914.15009 SIAM J. Matrix Anal. Appl. 19, No. 1, 39-65 (1998). Reviewer: Chen Zhijie (Shanghai) MSC: 15A24 93B35 PDFBibTeX XMLCite \textit{J.-g. Sun}, SIAM J. Matrix Anal. Appl. 19, No. 1, 39--65 (1998; Zbl 0914.15009) Full Text: DOI
Ooba, Tatsushi; Funahashi, Yasuyuki Stability robustness for linear state space models – a Lyapunov mapping approach. (English) Zbl 0877.93087 Syst. Control Lett. 29, No. 4, 191-196 (1997). MSC: 93D09 93C05 PDFBibTeX XMLCite \textit{T. Ooba} and \textit{Y. Funahashi}, Syst. Control Lett. 29, No. 4, 191--196 (1997; Zbl 0877.93087) Full Text: DOI
Bellman, Richard Introduction to matrix analysis. 2nd ed., Reprint of the 1970 Orig. (English) Zbl 0872.15003 Classics in Applied Mathematics. 19. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). xxviii, 403 p. (1997). MSC: 15-01 15B57 34A30 15A39 15A63 15B48 90C39 15A21 90C05 34D20 15B51 91Bxx 93C05 65L10 65R10 65R30 PDFBibTeX XMLCite \textit{R. Bellman}, Introduction to matrix analysis. 2nd ed., Reprint of the 1970 Orig. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1997; Zbl 0872.15003)
Liu, Pingzhou; Gopalsamy, K. On a model of competition in periodic environments. (English) Zbl 0872.39009 Appl. Math. Comput. 82, No. 2-3, 207-238 (1997). Reviewer: V.V.Obukhovskij (Voronezh) MSC: 39A12 93C55 93D15 39A10 34K13 92D25 PDFBibTeX XMLCite \textit{P. Liu} and \textit{K. Gopalsamy}, Appl. Math. Comput. 82, No. 2--3, 207--238 (1997; Zbl 0872.39009) Full Text: DOI
Lu, Linzhang Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. (Chinese. English summary) Zbl 0856.65046 J. Xiamen Univ., Nat. Sci. 34, No. 4, 512-516 (1995). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 93C55 65F10 PDFBibTeX XMLCite \textit{L. Lu}, J. Xiamen Univ., Nat. Sci. 34, No. 4, 512--516 (1995; Zbl 0856.65046)
Stoorvogel, Anton A.; Weeren, Arie J. T. M. The discrete-time Riccati equation related to the \(H_ \infty\) control problem. (English) Zbl 0815.93029 IEEE Trans. Autom. Control 39, No. 3, 686-691 (1994). MSC: 93B36 93C55 PDFBibTeX XMLCite \textit{A. A. Stoorvogel} and \textit{A. J. T. M. Weeren}, IEEE Trans. Autom. Control 39, No. 3, 686--691 (1994; Zbl 0815.93029) Full Text: DOI
Engwerda, Jacob C. On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\). (English) Zbl 0798.15013 Linear Algebra Appl. 194, 91-108 (1993). Reviewer: I.Troch (Wien) MSC: 15A24 93C55 65F30 49N10 PDFBibTeX XMLCite \textit{J. C. Engwerda}, Linear Algebra Appl. 194, 91--108 (1993; Zbl 0798.15013) Full Text: DOI
Engwerda, Jacob C.; Ran, André C. M.; Rijkeboer, Arie L. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\). (English) Zbl 0778.15008 Linear Algebra Appl. 186, 255-275 (1993). Reviewer: L.Bakule (Praha) MSC: 15A24 15A23 93C55 PDFBibTeX XMLCite \textit{J. C. Engwerda} et al., Linear Algebra Appl. 186, 255--275 (1993; Zbl 0778.15008) Full Text: DOI
Xie, Shengli On the equivalence problem of discrete control system and discrete neutral type control system with time delay in the stabilization theory. II. (English) Zbl 0793.93104 Adv. Model. Simul. 29, No. 2, 7-13 (1992). MSC: 93D15 93C05 93C15 PDFBibTeX XMLCite \textit{S. Xie}, Adv. Model. Simul. 29, No. 2, 7--13 (1992; Zbl 0793.93104)
Hamano, F. On the existence of a solution of Riccati equation and the mismatch threshold in practical stabilization of uncertain dynamical systems. (English) Zbl 0727.93057 Mechanics and control, Proc. 3rd Workshop Honor 65th Birthday G. Leitmann, Lect. Notes Control Inf. Sci. 151, 192-200 (1991). MSC: 93D15 93B36 PDFBibTeX XML
Lyashenko, T. V. An explicit method of solution of integral equations with the operation of switching. (Russian) Zbl 0733.45009 Mathematical methods for the construction and analysis of algorithms, Leningrad, 88-98 (1990). Reviewer: U.Kosel (Freiberg) MSC: 45G10 93C30 45M20 PDFBibTeX XML
Da Prato, Giuseppe; Delfour, Michel Linear quadratic control problem without stabilizability. (English) Zbl 0767.49026 Stabilization of flexible structures, Proc. 3rd Working Conf., Montpellier/Fr. 1989, Lect. Notes Control Inf. Sci. 147, 126-147 (1990). Reviewer: A.L.Dontchev (Ann Arbor) MSC: 49N10 49K20 93D15 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{M. Delfour}, Lect. Notes Control Inf. Sci. 147, 126--147 (1990; Zbl 0767.49026)
Agathoklis, Panajotis; Jury, E. I.; Mansour, Mohamed The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation. (English) Zbl 0684.65042 IEEE Trans. Circuits Syst. 36, No. 6, 830-837 (1989). Reviewer: Chengxian Xu MSC: 65F30 65K10 15A24 93C55 PDFBibTeX XMLCite \textit{P. Agathoklis} et al., IEEE Trans. Circuits Syst. 36, No. 6, 830--837 (1989; Zbl 0684.65042) Full Text: DOI
Bucy, R. S. Comment on the paper “A group theoretical approach to optimal estimation and control” by S. J. Orfanidis. (English) Zbl 0673.93087 J. Math. Anal. Appl. 140, No. 2, 589 (1989). MSC: 93E20 15A24 37J99 93E10 93E25 PDFBibTeX XMLCite \textit{R. S. Bucy}, J. Math. Anal. Appl. 140, No. 2, 589 (1989; Zbl 0673.93087) Full Text: DOI
Mori, T.; Fukuma, N.; Kuwahara, M. Number of positive eigenvalues of the solution to the discrete Lyapunov matrix equation. (English) Zbl 0659.15011 Int. J. Syst. Sci. 19, No. 1, 225-226 (1988). Reviewer: G.N.de Oliveira MSC: 15A24 93C55 93B05 15A18 PDFBibTeX XMLCite \textit{T. Mori} et al., Int. J. Syst. Sci. 19, No. 1, 225--226 (1988; Zbl 0659.15011) Full Text: DOI
Desch, Wolfgang; Miller, Richard K. Exponential stabilization of Volterra integrodifferential equations in Hilbert space. (English) Zbl 0635.45029 J. Differ. Equations 70, 366-389 (1987). Reviewer: O.Staffans MSC: 45N05 45J05 93C30 93B05 PDFBibTeX XMLCite \textit{W. Desch} and \textit{R. K. Miller}, J. Differ. Equations 70, 366--389 (1987; Zbl 0635.45029) Full Text: DOI
Bolzern, Paolo; Colaneri, Patrizio Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation. (English) Zbl 0614.39002 Linear Algebra Appl. 85, 249-265 (1987). Reviewer: A.D.Mednych MSC: 39A11 93C55 93D05 PDFBibTeX XMLCite \textit{P. Bolzern} and \textit{P. Colaneri}, Linear Algebra Appl. 85, 249--265 (1987; Zbl 0614.39002) Full Text: DOI
El-Gindy, T. M.; Salim, M. S.; Farghaly, M. S. On the numerical solution of the Riccati algebraic matrix equation. (English) Zbl 0596.65025 Commun. Appl. Numer. Methods 2, 483-487 (1986). MSC: 65F30 93C99 65K10 93C15 15A24 PDFBibTeX XMLCite \textit{T. M. El-Gindy} et al., Commun. Appl. Numer. Methods 2, 483--487 (1986; Zbl 0596.65025) Full Text: DOI
Fu, Sheauwei; Sawan, Mahmoud E. Solution of the discrete Lyapunov equation. (English) Zbl 0636.15007 SIAM J. Algebraic Discrete Methods 6, No. 2, 341-344 (1985). MSC: 15A24 15A45 93C55 PDFBibTeX XMLCite \textit{S. Fu} and \textit{M. E. Sawan}, SIAM J. Algebraic Discrete Methods 6, 341--344 (1985; Zbl 0636.15007) Full Text: DOI
Tran, Minh T.; Sawan, Mahmoud E. On the discrete Lyapunov and Riccati matrix equations. (English) Zbl 0519.15006 Pi Mu Epsilon J. 7, 574-581 (1983). MSC: 15A42 15A24 93C55 65F30 PDFBibTeX XMLCite \textit{M. T. Tran} and \textit{M. E. Sawan}, Pi Mu Epsilon J. 7, 574--581 (1983; Zbl 0519.15006)
Mori, Takehiro; Fukuma, Norio; Kuwahara, Michiyoshi On the discrete Lyapunov matrix equation. (English) Zbl 0479.93022 IEEE Trans. Autom. Control 27, 463-464 (1982). MSC: 93B25 15A18 15A24 PDFBibTeX XMLCite \textit{T. Mori} et al., IEEE Trans. Autom. Control 27, 463--464 (1982; Zbl 0479.93022) Full Text: DOI
Churilov, A. N. On the existence of a positive solution of the Lur’e equation. (Russian) Zbl 0594.93029 Nonlinear oscillations and control theory, Interuniv. Collect., 3, Izhevsk 1981, 132-146 (1981). MSC: 93B99 15A24 93B05 93B07 PDFBibTeX XML
Blaga, Lucia On the uniqueness of the best approximate positive solution of algebraic systems of polynomials. (English) Zbl 0546.90086 Bul. Ştiinţ. Inst. Politeh. Cluj-Napoca, Ser. Electroteh. Energ. Inf. 24, 57-63 (1981). MSC: 90C30 90C99 65H10 65K05 93C10 93B40 PDFBibTeX XMLCite \textit{L. Blaga}, Bul. Științ. Inst. Politeh. Cluj-Napoca, Ser. Electroteh. Energ. Inf. 24, 57--63 (1981; Zbl 0546.90086)
Wolf, Kurt Bernardo Travelling waves, symmetries and invariant quadratic forms in discrete systems. (English) Zbl 0502.35073 Kinam 2, 223-272 (1980). MSC: 35Q99 81S99 35J05 81Q05 35A30 93C55 37-XX PDFBibTeX XMLCite \textit{K. B. Wolf}, Kinam 2, 223--272 (1980; Zbl 0502.35073)
Dragan, V.; Halanay, A. Singular perturbations and linear feedback control. (English) Zbl 0403.34036 Equadiff IV, Proc., Prague 1977, Lect. Notes Math. 703, 86-92 (1979). MSC: 34D15 93C05 PDFBibTeX XML
Marusciac, I. Best approximate positive solution of a nonlinear system. (English) Zbl 0472.93033 Systems theory, Proc. nat. Conf., Brasov/Romania 1977, 58-64 (1978). MSC: 93C10 93B40 90C99 PDFBibTeX XML