Huang, Baohua; Xie, Yajun Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system. (English) Zbl 07699201 Int. J. Comput. Math. 100, No. 2, 453-477 (2023). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{B. Huang} and \textit{Y. Xie}, Int. J. Comput. Math. 100, No. 2, 453--477 (2023; Zbl 07699201) Full Text: DOI
Lv, Lingling; Chen, Jinbo; Zhang, Lei; Zhang, Fengrui Gradient-based neural networks for solving periodic Sylvester matrix equations. (English) Zbl 1505.65178 J. Franklin Inst. 359, No. 18, 10849-10866 (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Lv} et al., J. Franklin Inst. 359, No. 18, 10849--10866 (2022; Zbl 1505.65178) Full Text: DOI
Li, Shihai; Ma, Changfeng Factor gradient iterative algorithm for solving a class of discrete periodic Sylvester matrix equations. (English) Zbl 1503.65086 J. Franklin Inst. 359, No. 17, 9952-9970 (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 359, No. 17, 9952--9970 (2022; Zbl 1503.65086) Full Text: DOI
Chen, Zebin; Chen, Xuesong Conjugate gradient-based iterative algorithm for solving generalized periodic coupled Sylvester matrix equations. (English) Zbl 07617721 J. Franklin Inst. 359, No. 17, 9925-9951 (2022). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{Z. Chen} and \textit{X. Chen}, J. Franklin Inst. 359, No. 17, 9925--9951 (2022; Zbl 07617721) Full Text: DOI
Chen, Xuesong; Chen, Zebin An iterative algorithm for generalized periodic multiple coupled Sylvester matrix equations. (English) Zbl 1473.65049 J. Franklin Inst. 358, No. 10, 5513-5531 (2021). MSC: 65F45 15A24 65F10 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Z. Chen}, J. Franklin Inst. 358, No. 10, 5513--5531 (2021; Zbl 1473.65049) Full Text: DOI
Wang, Wenli; Song, Caiqin Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system. (English) Zbl 1470.65070 Appl. Numer. Math. 168, 251-273 (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C. Song}, Appl. Numer. Math. 168, 251--273 (2021; Zbl 1470.65070) Full Text: DOI
Lv, Lingling; Chen, Jinbo; Zhang, Zhe; Wang, Baowen; Zhang, Lei A numerical solution of a class of periodic coupled matrix equations. (English) Zbl 1455.65064 J. Franklin Inst. 358, No. 3, 2039-2059 (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Lv} et al., J. Franklin Inst. 358, No. 3, 2039--2059 (2021; Zbl 1455.65064) Full Text: DOI
Sun, Min; Liu, Jing Noise-tolerant continuous-time Zhang neural networks for time-varying Sylvester tensor equations. (English) Zbl 1487.15019 Adv. Difference Equ. 2019, Paper No. 465, 19 p. (2019). MSC: 15A24 15A69 65F45 PDFBibTeX XMLCite \textit{M. Sun} and \textit{J. Liu}, Adv. Difference Equ. 2019, Paper No. 465, 19 p. (2019; Zbl 1487.15019) Full Text: DOI
Lv, Lingling; Zhang, Zhe A numerical approach to generalized periodic Sylvester matrix equation. (English) Zbl 1433.65079 Asian J. Control 21, No. 5, 2468-2475 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Lv} and \textit{Z. Zhang}, Asian J. Control 21, No. 5, 2468--2475 (2019; Zbl 1433.65079) Full Text: DOI
Huang, Baohua; Ma, Changfeng Finite iterative algorithm for the symmetric periodic least squares solutions of a class of periodic Sylvester matrix equations. (English) Zbl 07056395 Numer. Algorithms 81, No. 1, 377-406 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{B. Huang} and \textit{C. Ma}, Numer. Algorithms 81, No. 1, 377--406 (2019; Zbl 07056395) Full Text: DOI
Hajarian, Masoud Biconjugate residual algorithm for solving general Sylvester-transpose matrix equations. (English) Zbl 1499.65144 Filomat 32, No. 15, 5307-5318 (2018). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Filomat 32, No. 15, 5307--5318 (2018; Zbl 1499.65144) Full Text: DOI
Hajarian, Masoud Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations. (English) Zbl 1417.65122 Comput. Math. Appl. 75, No. 11, 4151-4178 (2018). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Comput. Math. Appl. 75, No. 11, 4151--4178 (2018; Zbl 1417.65122) Full Text: DOI
Lv, Lingling; Zhang, Zhe; Zhang, Lei; Liu, Xianxing Gradient based approach for generalized discrete-time periodic coupled Sylvester matrix equations. (English) Zbl 1398.93207 J. Franklin Inst. 355, No. 15, 7691-7705 (2018). MSC: 93C55 93C05 15A24 65F30 93B40 PDFBibTeX XMLCite \textit{L. Lv} et al., J. Franklin Inst. 355, No. 15, 7691--7705 (2018; Zbl 1398.93207) Full Text: DOI
Park, In Seok; Kwon, Nam Kyu; Park, PooGyeon A linear programming approach for stabilization of positive Markovian jump systems with a saturated single input. (English) Zbl 06892053 Nonlinear Anal., Hybrid Syst. 29, 322-332 (2018). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{I. S. Park} et al., Nonlinear Anal., Hybrid Syst. 29, 322--332 (2018; Zbl 06892053) Full Text: DOI
Ma, Qian Cooperative control of multi-agent systems with unknown control directions. (English) Zbl 1410.93066 Appl. Math. Comput. 292, 240-252 (2017). MSC: 93C40 34D06 65L05 93A14 PDFBibTeX XMLCite \textit{Q. Ma}, Appl. Math. Comput. 292, 240--252 (2017; Zbl 1410.93066) Full Text: DOI
Zhang, Xiaodan; Sheng, Xingping The relaxed gradient based iterative algorithm for the symmetric (skew symmetric) solution of the Sylvester equation \(A X + X B = C\). (English) Zbl 1426.65056 Math. Probl. Eng. 2017, Article ID 1624969, 8 p. (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Sheng}, Math. Probl. Eng. 2017, Article ID 1624969, 8 p. (2017; Zbl 1426.65056) Full Text: DOI
Lv, Lingling; Zhang, Zhe Finite iterative solutions to periodic Sylvester matrix equations. (English) Zbl 1398.93365 J. Franklin Inst. 354, No. 5, 2358-2370 (2017). MSC: 93E24 15A24 65F30 PDFBibTeX XMLCite \textit{L. Lv} and \textit{Z. Zhang}, J. Franklin Inst. 354, No. 5, 2358--2370 (2017; Zbl 1398.93365) Full Text: DOI
Chen, Cai-Rong; Ma, Chang-Feng A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations. (English) Zbl 1398.65077 Comput. Math. Appl. 74, No. 6, 1223-1231 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{C.-R. Chen} and \textit{C.-F. Ma}, Comput. Math. Appl. 74, No. 6, 1223--1231 (2017; Zbl 1398.65077) Full Text: DOI
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo Canonical structure transitions of system pencils. (English) Zbl 1373.93072 SIAM J. Matrix Anal. Appl. 38, No. 4, 1249-1267 (2017). MSC: 93B10 15A22 15A21 65F15 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1249--1267 (2017; Zbl 1373.93072) Full Text: DOI
Son, Nguyen Thanh; Stykel, Tatjana Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. (English) Zbl 1367.65066 SIAM J. Matrix Anal. Appl. 38, No. 2, 478-504 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, SIAM J. Matrix Anal. Appl. 38, No. 2, 478--504 (2017; Zbl 1367.65066) Full Text: DOI
Hajarian, Masoud Gradient based iterative algorithm to solve general coupled discrete-time periodic matrix equations over generalized reflexive matrices. (English) Zbl 1488.65094 Math. Model. Anal. 21, No. 4, 533-549 (2016). MSC: 65F45 15A24 39B42 PDFBibTeX XMLCite \textit{M. Hajarian}, Math. Model. Anal. 21, No. 4, 533--549 (2016; Zbl 1488.65094) Full Text: DOI
Hajarian, Masoud Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method. (English) Zbl 1330.65065 Appl. Math. Lett. 52, 87-95 (2016). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Appl. Math. Lett. 52, 87--95 (2016; Zbl 1330.65065) Full Text: DOI
Hajarian, Masoud Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations. (English) Zbl 1443.65055 Appl. Math. Modelling 39, No. 19, 6073-6084 (2015). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Appl. Math. Modelling 39, No. 19, 6073--6084 (2015; Zbl 1443.65055) Full Text: DOI
Hajarian, Masoud A finite iterative method for solving the general coupled discrete-time periodic matrix equations. (English) Zbl 1341.93055 Circuits Syst. Signal Process. 34, No. 1, 105-125 (2015). MSC: 93C55 39A23 65F10 PDFBibTeX XMLCite \textit{M. Hajarian}, Circuits Syst. Signal Process. 34, No. 1, 105--125 (2015; Zbl 1341.93055) Full Text: DOI
Hajarian, Masoud Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations. (English) Zbl 1321.65066 Comput. Appl. Math. 34, No. 2, 755-771 (2015). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Comput. Appl. Math. 34, No. 2, 755--771 (2015; Zbl 1321.65066) Full Text: DOI
Luo, Zhikun; Sun, Huafei; Duan, Xiaomin The extended Hamiltonian algorithm for the solution of the algebraic Riccati equation. (English) Zbl 1442.65066 J. Appl. Math. 2014, Article ID 693659, 8 p. (2014). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Appl. Math. 2014, Article ID 693659, 8 p. (2014; Zbl 1442.65066) Full Text: DOI
Moreno Arboleda, Francisco Javier; Guzmán Luna, Jaime Alberto; Gomez Arias, Sebastian Alonso Identification of V-formations and circular and doughnut formations in a set of moving entities with outliers. (English) Zbl 1470.94064 Abstr. Appl. Anal. 2014, Article ID 241684, 11 p. (2014). MSC: 94A13 68U99 65D18 68T10 PDFBibTeX XMLCite \textit{F. J. Moreno Arboleda} et al., Abstr. Appl. Anal. 2014, Article ID 241684, 11 p. (2014; Zbl 1470.94064) Full Text: DOI
Hajarian, Masoud Solving the general coupled and the periodic coupled matrix equations via the extended QMRCGSTAB algorithms. (English) Zbl 1307.65054 Comput. Appl. Math. 33, No. 2, 349-362 (2014). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{M. Hajarian}, Comput. Appl. Math. 33, No. 2, 349--362 (2014; Zbl 1307.65054) Full Text: DOI
Luo, Zhikun; Sun, Huafei Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations. (English) Zbl 1303.65030 Appl. Math. Comput. 234, 245-252 (2014). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{H. Sun}, Appl. Math. Comput. 234, 245--252 (2014; Zbl 1303.65030) Full Text: DOI
Nouri, M.; Talatahari, S. The algebraic Riccati matrix equation for eigendecomposition of canonical forms. (English) Zbl 1296.65066 Math. Probl. Eng. 2013, Article ID 176389, 7 p. (2013). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{M. Nouri} and \textit{S. Talatahari}, Math. Probl. Eng. 2013, Article ID 176389, 7 p. (2013; Zbl 1296.65066) Full Text: DOI
Duan, Xiaomin; Sun, Huafei; Peng, Linyu; Zhao, Xinyu A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance. (English) Zbl 1290.65028 Appl. Math. Comput. 219, No. 19, 9899-9905 (2013). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{X. Duan} et al., Appl. Math. Comput. 219, No. 19, 9899--9905 (2013; Zbl 1290.65028) Full Text: DOI
Wang, Huiwei; Liao, Xiaofeng; Huang, Tingwen Accelerated consensus to accurate average in multi-agent networks via state prediction. (English) Zbl 1281.93009 Nonlinear Dyn. 73, No. 1-2, 551-563 (2013). MSC: 93A14 68T42 65B99 PDFBibTeX XMLCite \textit{H. Wang} et al., Nonlinear Dyn. 73, No. 1--2, 551--563 (2013; Zbl 1281.93009) Full Text: DOI
Li, Zhao-Yan; Wang, Yong Weighted steepest descent method for solving matrix equations. (English) Zbl 1255.15003 Int. J. Comput. Math. 89, No. 8, 1017-1038 (2012). MSC: 15A06 15A24 65F10 65F30 93C05 PDFBibTeX XMLCite \textit{Z.-Y. Li} and \textit{Y. Wang}, Int. J. Comput. Math. 89, No. 8, 1017--1038 (2012; Zbl 1255.15003) Full Text: DOI
Hemami, Hooshang; Dariush, Behzad Control of constraint forces and trajectories in a rich sensory and actuation environment. (English) Zbl 1204.92009 Math. Biosci. 228, No. 2, 171-184 (2010). MSC: 92C10 93C95 65C20 PDFBibTeX XMLCite \textit{H. Hemami} and \textit{B. Dariush}, Math. Biosci. 228, No. 2, 171--184 (2010; Zbl 1204.92009) Full Text: DOI
Zhou, Bin; Lam, James; Duan, Guang-Ren Gradient-based maximal convergence rate iterative method for solving linear matrix equations. (English) Zbl 1188.65058 Int. J. Comput. Math. 87, No. 3, 515-527 (2010). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F10 65N22 15A09 15A12 15A24 PDFBibTeX XMLCite \textit{B. Zhou} et al., Int. J. Comput. Math. 87, No. 3, 515--527 (2010; Zbl 1188.65058) Full Text: DOI
Gámez, M.; López, I.; Varga, Z. Iterative scheme for the observation of a competitive Lotka-Volterra system. (English) Zbl 1144.92333 Appl. Math. Comput. 201, No. 1-2, 811-818 (2008). MSC: 92D40 65L99 37N25 PDFBibTeX XMLCite \textit{M. Gámez} et al., Appl. Math. Comput. 201, No. 1--2, 811--818 (2008; Zbl 1144.92333) Full Text: DOI
Liu, Xinmin; Chen, Ben M.; Lin, Zongli Linear systems toolkit in Matlab: structural decompositions and their applications. (English) Zbl 1119.65348 J. Control Theory Appl. 3, No. 3, 287-294 (2005). MSC: 65K10 93C05 93B36 68W30 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Control Theory Appl. 3, No. 3, 287--294 (2005; Zbl 1119.65348) Full Text: DOI
Lam, J.; Gao, H.; Xu, S.; Wang, C. \(\mathcal H_\infty\) and \(\mathcal L_2/\mathcal L_\infty\) model reduction for system input with sector nonlinearities. (English) Zbl 1062.93020 J. Optimization Theory Appl. 125, No. 1, 137-155 (2005). MSC: 93B36 93B11 15A39 65F10 PDFBibTeX XMLCite \textit{J. Lam} et al., J. Optim. Theory Appl. 125, No. 1, 137--155 (2005; Zbl 1062.93020) Full Text: DOI
Köse, İ. Emre; Jabbari, Faryar Scheduled controllers for linear systems with bounded actuators. (English) Zbl 1038.93032 Automatica 39, No. 8, 1377-1387 (2003). Reviewer: Yasuo Sugai (Chiba-shi) MSC: 93B51 93C73 65D07 PDFBibTeX XMLCite \textit{İ. E. Köse} and \textit{F. Jabbari}, Automatica 39, No. 8, 1377--1387 (2003; Zbl 1038.93032) Full Text: DOI