Zulfiqar, Umair; Du, Xin; Song, Qiu-Yan; Xiao, Zhi-Hua; Sreeram, Victor Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection. (English) Zbl 07803771 J. Franklin Inst. 361, No. 2, 1093-1114 (2024). MSC: 93B11 PDFBibTeX XMLCite \textit{U. Zulfiqar} et al., J. Franklin Inst. 361, No. 2, 1093--1114 (2024; Zbl 07803771) Full Text: DOI arXiv
Li, Shihai; Ma, Changfeng A novel predefined-time noise-tolerant zeroing neural network for solving time-varying generalized linear matrix equations. (English) Zbl 07757345 J. Franklin Inst. 360, No. 16, 11788-11808 (2023). MSC: 65F05 65F10 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 360, No. 16, 11788--11808 (2023; Zbl 07757345) Full Text: DOI
Li, Shihai; Ma, Changfeng An improved gradient neural network for solving periodic Sylvester matrix equations. (English) Zbl 1524.65184 J. Franklin Inst. 360, No. 6, 4056-4070 (2023). MSC: 65F45 15A24 68T07 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 360, No. 6, 4056--4070 (2023; Zbl 1524.65184) Full Text: DOI
Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. (English) Zbl 1458.93040 J. Franklin Inst. 358, No. 3, 2015-2038 (2021). MSC: 93B11 93C10 PDFBibTeX XMLCite \textit{M. M. A. Asif} et al., J. Franklin Inst. 358, No. 3, 2015--2038 (2021; Zbl 1458.93040) Full Text: DOI arXiv
Jian, Zhen; Xiao, Lin; Li, Kenli; Zuo, Qiuyue; Zhang, Yongsheng Adaptive coefficient designs for nonlinear activation function and its application to zeroing neural network for solving time-varying Sylvester equation. (English) Zbl 1451.68226 J. Franklin Inst. 357, No. 14, 9909-9929 (2020). MSC: 68T05 15A24 65F45 93C40 PDFBibTeX XMLCite \textit{Z. Jian} et al., J. Franklin Inst. 357, No. 14, 9909--9929 (2020; Zbl 1451.68226) Full Text: DOI
Yu, Lanlin; Xiong, Junlin Moment matching model reduction for negative imaginary systems. (English) Zbl 1451.93049 J. Franklin Inst. 356, No. 4, 2274-2293 (2019). MSC: 93B11 93D20 PDFBibTeX XMLCite \textit{L. Yu} and \textit{J. Xiong}, J. Franklin Inst. 356, No. 4, 2274--2293 (2019; Zbl 1451.93049) Full Text: DOI
Stanisławski, Rafał; Rydel, Marek; Latawiec, Krzysztof J. Modeling of discrete-time fractional-order state space systems using the balanced truncation method. (English) Zbl 1364.93438 J. Franklin Inst. 354, No. 7, 3008-3020 (2017). MSC: 93C55 93C05 26A33 15A18 15A23 93B05 93B07 PDFBibTeX XMLCite \textit{R. Stanisławski} et al., J. Franklin Inst. 354, No. 7, 3008--3020 (2017; Zbl 1364.93438) 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
Benner, Peter; Kürschner, Patrick; Saak, Jens Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. (English) Zbl 1336.93056 J. Franklin Inst. 353, No. 5, 1147-1167 (2016). MSC: 93B40 93C15 93A15 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Franklin Inst. 353, No. 5, 1147--1167 (2016; Zbl 1336.93056) Full Text: DOI
Zhang, Huiyan; Wu, Ligang; Shi, Peng; Zhao, Yuxin Balanced truncation approach to model reduction of Markovian jump time-varying delay systems. (English) Zbl 1395.93137 J. Franklin Inst. 352, No. 10, 4205-4224 (2015). MSC: 93B11 93C41 93C05 93B17 93B51 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Franklin Inst. 352, No. 10, 4205--4224 (2015; Zbl 1395.93137) Full Text: DOI
Yuan, Jia-Wei; Jiang, Yao-Lin; Xiao, Zhi-Hua Structure-preserving model order reduction by general orthogonal polynomials for integral-differential systems. (English) Zbl 1307.93093 J. Franklin Inst. 352, No. 1, 138-154 (2015). MSC: 93B11 93A15 93C15 93B40 PDFBibTeX XMLCite \textit{J.-W. Yuan} et al., J. Franklin Inst. 352, No. 1, 138--154 (2015; Zbl 1307.93093) Full Text: DOI
Piao, Fengxian; Zhang, Qingling; Wang, Zhefeng The solution to matrix equation \(AX+X^TC=B\). (English) Zbl 1171.15015 J. Franklin Inst. 344, No. 8, 1056-1062 (2007). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{F. Piao} et al., J. Franklin Inst. 344, No. 8, 1056--1062 (2007; Zbl 1171.15015) Full Text: DOI