Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials. (English) Zbl 07704444 Math. Comput. Simul. 212, 441-456 (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Math. Comput. Simul. 212, 441--456 (2023; Zbl 07704444) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems. (English) Zbl 1520.93063 Multidimensional Syst. Signal Process. 34, No. 1, 227-248 (2023). MSC: 93B11 65M70 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Multidimensional Syst. Signal Process. 34, No. 1, 227--248 (2023; Zbl 1520.93063) Full Text: DOI
Xu, Kang-Li; Jiang, Yao-Lin; Li, Zhen; Li, Li Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces. (English) Zbl 1507.93044 Linear Algebra Appl. 661, 222-246 (2023). MSC: 93B11 93C55 93B25 33C47 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., Linear Algebra Appl. 661, 222--246 (2023; Zbl 1507.93044) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions. (English) Zbl 1498.93070 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045-2062 (2022). MSC: 93B11 93C55 93D20 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045--2062 (2022; Zbl 1498.93070) Full Text: DOI
Li, Zi-Xue; Jiang, Yao-Lin; Xu, Kang-Li Riemannian optimization model order reduction method for general linear port-Hamiltonian systems. (English) Zbl 1496.93026 IMA J. Math. Control Inf. 39, No. 2, 590-608 (2022). MSC: 93B11 93B70 93C05 49Q12 PDFBibTeX XMLCite \textit{Z.-X. Li} et al., IMA J. Math. Control Inf. 39, No. 2, 590--608 (2022; Zbl 1496.93026) Full Text: DOI
Xu, Kang-Li; Jiang, Yao-Lin Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds. (English) Zbl 1491.93020 J. Franklin Inst. 359, No. 9, 4307-4330 (2022). MSC: 93B11 93C15 93B27 PDFBibTeX XMLCite \textit{K.-L. Xu} and \textit{Y.-L. Jiang}, J. Franklin Inst. 359, No. 9, 4307--4330 (2022; Zbl 1491.93020) Full Text: DOI
Jiang, Yao-Lin; Xu, Kang-Li Frequency-limited reduced models for linear and bilinear systems on the Riemannian manifold. (English) Zbl 1471.93182 IEEE Trans. Autom. Control 66, No. 9, 3938-3951 (2021). MSC: 93C80 93B11 93B05 93B07 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{K.-L. Xu}, IEEE Trans. Autom. Control 66, No. 9, 3938--3951 (2021; Zbl 1471.93182) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Time domain and frequency domain model order reduction for discrete time-delay systems. (English) Zbl 1483.93048 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 12, 2134-2149 (2020). MSC: 93B11 93C80 93C55 93C43 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 12, 2134--2149 (2020; Zbl 1483.93048) Full Text: DOI
Jiang, Yao-Lin; Xu, Kang-Li Riemannian modified Polak-Ribière-Polyak conjugate gradient order reduced model by tensor techniques. (English) Zbl 1441.93045 SIAM J. Matrix Anal. Appl. 41, No. 2, 432-463 (2020). MSC: 93B11 93C15 53B21 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{K.-L. Xu}, SIAM J. Matrix Anal. Appl. 41, No. 2, 432--463 (2020; Zbl 1441.93045) Full Text: DOI
Jiang, Yao-Lin; Yang, Jun-Man; Xu, Kang-Li Model order reduction for discrete-time linear systems with the discrete-time polynomials. (English) Zbl 1425.93063 Japan J. Ind. Appl. Math. 36, No. 3, 1005-1020 (2019). MSC: 93B11 93C05 93B20 65L05 65L80 PDFBibTeX XMLCite \textit{Y.-L. Jiang} et al., Japan J. Ind. Appl. Math. 36, No. 3, 1005--1020 (2019; Zbl 1425.93063) Full Text: DOI
Xu, Kang-Li; Jiang, Yao-Lin An unconstrained \(H_2\) model order reduction optimisation algorithm based on the Stiefel manifold for bilinear systems. (English) Zbl 1416.93041 Int. J. Control 92, No. 4, 950-959 (2019). MSC: 93B11 93C25 93C10 93B05 93B07 PDFBibTeX XMLCite \textit{K.-L. Xu} and \textit{Y.-L. Jiang}, Int. J. Control 92, No. 4, 950--959 (2019; Zbl 1416.93041) Full Text: DOI
Jiang, Yao-Lin; Xu, Kang-Li; Chen, Chun-Yue Parameterized model order reduction for linear DAE systems via \(\varepsilon\)-embedding technique. (English) Zbl 1411.93091 J. Franklin Inst. 356, No. 5, 2901-2918 (2019). MSC: 93C15 93B11 93C05 PDFBibTeX XMLCite \textit{Y.-L. Jiang} et al., J. Franklin Inst. 356, No. 5, 2901--2918 (2019; Zbl 1411.93091) Full Text: DOI
Yang, Ping; Jiang, Yao-Lin; Xu, Kang-Li A trust-region method for \(H_2\) model reduction of bilinear systems on the Stiefel manifold. (English) Zbl 1409.93017 J. Franklin Inst. 356, No. 4, 2258-2273 (2019). MSC: 93B11 93C15 93C10 93-04 PDFBibTeX XMLCite \textit{P. Yang} et al., J. Franklin Inst. 356, No. 4, 2258--2273 (2019; Zbl 1409.93017) Full Text: DOI
Xu, Kang-Li; Yang, Ping; Jiang, Yao-Lin Structure-preserving model reduction of second-order systems by Krylov subspace methods. (English) Zbl 1397.78057 J. Appl. Math. Comput. 58, No. 1-2, 305-322 (2018). MSC: 78M34 37N30 93A15 93A30 44A10 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., J. Appl. Math. Comput. 58, No. 1--2, 305--322 (2018; Zbl 1397.78057) Full Text: DOI
Yang, Ping; Xu, Kang-Li; Jiang, Yao-Lin \(\mathcal{H}_{2}\) model order reduction for bilinear systems based on the cross gramian. (English) Zbl 1397.93040 IMA J. Math. Control Inf. 34, No. 4, 1323-1338 (2017). MSC: 93B11 93C10 93C20 93B15 93-04 PDFBibTeX XMLCite \textit{P. Yang} et al., IMA J. Math. Control Inf. 34, No. 4, 1323--1338 (2017; Zbl 1397.93040) Full Text: DOI
Xu, Kang-Li; Jiang, Yao-Lin An approach to \(H_{2,\omega}\) model reduction on finite interval for bilinear systems. (English) Zbl 1373.93074 J. Franklin Inst. 354, No. 16, 7429-7443 (2017). MSC: 93B11 93C10 93B05 93B07 PDFBibTeX XMLCite \textit{K.-L. Xu} and \textit{Y.-L. Jiang}, J. Franklin Inst. 354, No. 16, 7429--7443 (2017; Zbl 1373.93074) Full Text: DOI
Jiang, Yaolin; Xu, Kangli \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold. (English) Zbl 1364.93114 J. Franklin Inst. 354, No. 8, 3210-3224 (2017). MSC: 93B11 93C05 93C35 93B05 93B07 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{K. Xu}, J. Franklin Inst. 354, No. 8, 3210--3224 (2017; Zbl 1364.93114) Full Text: DOI
Xu, Kang-Li; Jiang, Yao-Lin; Yang, Zhi-Xia \(H_{2}\) optimal model order reduction by two-sided technique on Grassmann manifold via the cross-Gramian of bilinear systems. (English) Zbl 1359.93086 Int. J. Control 90, No. 3, 616-626 (2017). MSC: 93B11 93C15 93C10 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., Int. J. Control 90, No. 3, 616--626 (2017; Zbl 1359.93086) Full Text: DOI
Yang, Ping; Xu, Kangli; Jiang, Yaolin One-side model reduction of K-power systems on the Grassmann manifold. (Chinese. English summary) Zbl 1363.93049 J. Numer. Methods Comput. Appl. 37, No. 1, 41-56 (2016). MSC: 93B11 93C15 PDFBibTeX XMLCite \textit{P. Yang} et al., J. Numer. Methods Comput. Appl. 37, No. 1, 41--56 (2016; Zbl 1363.93049)
Xu, Kang-Li; Jiang, Yao-Lin; Yang, Zhi-Xia \(H_2\) order-reduction for bilinear systems based on Grassmann manifold. (English) Zbl 1395.93136 J. Franklin Inst. 352, No. 10, 4467-4479 (2015). MSC: 93B11 93C10 93A30 93-04 14M15 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., J. Franklin Inst. 352, No. 10, 4467--4479 (2015; Zbl 1395.93136) Full Text: DOI