Tie, Lin Controllability of discrete-time inhomogeneous bilinear systems with real spectrum: algebraically verifiable criteria. (English) Zbl 1507.93039 J. Franklin Inst. 360, No. 3, 1706-1732 (2023). MSC: 93B05 93B25 93C55 93C10 PDFBibTeX XMLCite \textit{L. Tie}, J. Franklin Inst. 360, No. 3, 1706--1732 (2023; Zbl 1507.93039) 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
Liu, Siyu; Xie, Li; Xu, Ling; Ding, Feng; Alsaedi, Ahmed; Hayat, Tasawar Two-stage gradient-based iterative algorithm for bilinear stochastic systems over the moving data window. (English) Zbl 1450.93081 J. Franklin Inst. 357, No. 15, 11021-11041 (2020). MSC: 93E12 93E11 93C10 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Franklin Inst. 357, No. 15, 11021--11041 (2020; Zbl 1450.93081) Full Text: DOI
Zhang, Xiao; Liu, Qinyao; Ding, Feng; Alsaedi, Ahmed; Hayat, Tasawar Recursive identification of bilinear time-delay systems through the redundant rule. (English) Zbl 1429.93401 J. Franklin Inst. 357, No. 1, 726-747 (2020). MSC: 93E12 93E10 93C43 93C10 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Franklin Inst. 357, No. 1, 726--747 (2020; Zbl 1429.93401) Full Text: DOI
Wang, Longjin; Ji, Yan; Wan, Lijuan; Bu, Ni Hierarchical recursive generalized extended least squares estimation algorithms for a class of nonlinear stochastic systems with colored noise. (English) Zbl 1423.93371 J. Franklin Inst. 356, No. 16, 10102-10122 (2019). MSC: 93E03 93E24 93C10 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Franklin Inst. 356, No. 16, 10102--10122 (2019; Zbl 1423.93371) Full Text: DOI
Qamar, Shahid; Cong, Shuang Observer-based feedback control of two-level open stochastic quantum system. (English) Zbl 1415.93115 J. Franklin Inst. 356, No. 11, 5675-5691 (2019). MSC: 93B52 93E03 93C15 81Q93 PDFBibTeX XMLCite \textit{S. Qamar} and \textit{S. Cong}, J. Franklin Inst. 356, No. 11, 5675--5691 (2019; Zbl 1415.93115) 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
Wang, Xuehai; Ding, Feng The filtering based parameter identification for bilinear-in-parameter systems. (English) Zbl 1405.93219 J. Franklin Inst. 356, No. 1, 514-538 (2019). MSC: 93E11 93E12 93E10 93C10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{F. Ding}, J. Franklin Inst. 356, No. 1, 514--538 (2019; Zbl 1405.93219) Full Text: DOI
Li, Jiangrong; Feng, Zhiguang; Zhao, Yuxin; Shi, Juan Reachable set estimation for discrete-time bilinear systems with time-varying delays. (English) Zbl 1451.93018 J. Franklin Inst. 355, No. 13, 5721-5735 (2018). MSC: 93B03 93C55 93C10 93C43 PDFBibTeX XMLCite \textit{J. Li} et al., J. Franklin Inst. 355, No. 13, 5721--5735 (2018; Zbl 1451.93018) Full Text: DOI
Zhang, Xiao; Xu, Ling; Ding, Feng; Hayat, Tasawar Combined state and parameter estimation for a bilinear state space system with moving average noise. (English) Zbl 1395.93174 J. Franklin Inst. 355, No. 6, 3079-3103 (2018). MSC: 93B30 93C10 93E10 93E11 93E12 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Franklin Inst. 355, No. 6, 3079--3103 (2018; Zbl 1395.93174) Full Text: DOI
Mechhoud, Sarah; Laleg-Kirati, Taous-Meriem Adaptive energy-based bilinear control of first-order 1-D hyperbolic PDEs: application to a one-loop parabolic solar collector trough. (English) Zbl 1384.93068 J. Franklin Inst. 355, No. 2, 827-848 (2018). MSC: 93C40 93C20 93C10 93D25 PDFBibTeX XMLCite \textit{S. Mechhoud} and \textit{T.-M. Laleg-Kirati}, J. Franklin Inst. 355, No. 2, 827--848 (2018; Zbl 1384.93068) Full Text: DOI Link
Chen, Mengting; Ding, Feng; Xu, Ling; Hayat, Tasawar; Alsaedi, Ahmed Iterative identification algorithms for bilinear-in-parameter systems with autoregressive moving average noise. (English) Zbl 1380.93271 J. Franklin Inst. 354, No. 17, 7885-7898 (2017). MSC: 93E15 93C10 93E24 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Franklin Inst. 354, No. 17, 7885--7898 (2017; Zbl 1380.93271) 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
Li, Meihang; Liu, Ximei; Ding, Feng The maximum likelihood least squares based iterative estimation algorithm for bilinear systems with autoregressive moving average noise. (English) Zbl 1367.93628 J. Franklin Inst. 354, No. 12, 4861-4881 (2017). MSC: 93E10 93E24 93E25 93C10 PDFBibTeX XMLCite \textit{M. Li} et al., J. Franklin Inst. 354, No. 12, 4861--4881 (2017; Zbl 1367.93628) Full Text: DOI
Ge, Yang; Wang, Jingcheng; Zhang, Langwen; Wang, Bohui; Li, Chuang Robust fault tolerant control of distributed networked control systems with variable structure. (English) Zbl 1347.93088 J. Franklin Inst. 353, No. 12, 2553-2575 (2016). MSC: 93B25 93B12 93B18 PDFBibTeX XMLCite \textit{Y. Ge} et al., J. Franklin Inst. 353, No. 12, 2553--2575 (2016; Zbl 1347.93088) Full Text: DOI
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
Liu, Xin; Huang, Yu; Xiao, Mingqing Approximately nearly controllability of discrete-time bilinear control systems with control input characteristic. (English) Zbl 1395.93117 J. Franklin Inst. 352, No. 4, 1561-1579 (2015). MSC: 93B05 93C55 93C10 93C15 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Franklin Inst. 352, No. 4, 1561--1579 (2015; Zbl 1395.93117) Full Text: DOI
Kardous, Zohra; Benhadj Braiek, Naceur Stabilizing multimodel sliding mode control for homogeneous TS-bilinear systems. (English) Zbl 1307.93099 J. Franklin Inst. 352, No. 1, 177-188 (2015). MSC: 93B12 93C10 93D21 PDFBibTeX XMLCite \textit{Z. Kardous} and \textit{N. Benhadj Braiek}, J. Franklin Inst. 352, No. 1, 177--188 (2015; Zbl 1307.93099) Full Text: DOI
Gu, Ya; Ding, Feng Parameter estimation for an input nonlinear state space system with time delay. (English) Zbl 1393.93129 J. Franklin Inst. 351, No. 12, 5326-5339 (2014). MSC: 93E12 93E10 93E24 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{F. Ding}, J. Franklin Inst. 351, No. 12, 5326--5339 (2014; Zbl 1393.93129) Full Text: DOI
Tie, Lin A root locus approach to near-controllability of a class of discrete-time bilinear systems with applications to Hermitian matrices. (English) Zbl 1395.93120 J. Franklin Inst. 351, No. 3, 1810-1821 (2014). MSC: 93B05 93C10 93C15 93C55 93B30 PDFBibTeX XMLCite \textit{L. Tie}, J. Franklin Inst. 351, No. 3, 1810--1821 (2014; Zbl 1395.93120) Full Text: DOI
Tie, Lin; Cai, Kai-Yuan; Lin, Yan A linear algebraic criterion for controllability of both continuous-time and discrete-time symmetric bilinear systems. (English) Zbl 1281.93026 J. Franklin Inst. 350, No. 4, 898-910 (2013). MSC: 93B05 93B25 93C10 PDFBibTeX XMLCite \textit{L. Tie} et al., J. Franklin Inst. 350, No. 4, 898--910 (2013; Zbl 1281.93026) Full Text: DOI
Wang, Xiaolong; Jiang, Yaolin Model reduction of bilinear systems based on Laguerre series expansion. (English) Zbl 1273.93034 J. Franklin Inst. 349, No. 3, 1231-1246 (2012). MSC: 93B11 93A15 93C15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Jiang}, J. Franklin Inst. 349, No. 3, 1231--1246 (2012; Zbl 1273.93034) Full Text: DOI Link
Rasool, Faiz; Huang, Dan; Nguang, Sing Kiong Robust \(\mathcal{H}_\infty\) output feedback control of networked control systems with multiple quantizers. (English) Zbl 1273.93067 J. Franklin Inst. 349, No. 3, 1153-1173 (2012). MSC: 93B36 93B35 93D30 93B52 PDFBibTeX XMLCite \textit{F. Rasool} et al., J. Franklin Inst. 349, No. 3, 1153--1173 (2012; Zbl 1273.93067) Full Text: DOI Link
Tie, Lin; Cai, Kai-Yuan; Lin, Yan On controllability of discrete-time bilinear systems. (English) Zbl 1225.93029 J. Franklin Inst. 348, No. 5, 933-940 (2011). MSC: 93B05 93C55 PDFBibTeX XMLCite \textit{L. Tie} et al., J. Franklin Inst. 348, No. 5, 933--940 (2011; Zbl 1225.93029) Full Text: DOI
Kim, Kyung-Soo; Jabbari, Faryar Disturbance attenuation via strictly positive real compensators. (English) Zbl 1037.93062 J. Franklin Inst. 340, No. 6-7, 515-521 (2003). Reviewer: Didier Henrion (Toulouse) MSC: 93C73 93B51 15A39 93B40 PDFBibTeX XMLCite \textit{K.-S. Kim} and \textit{F. Jabbari}, J. Franklin Inst. 340, No. 6--7, 515--521 (2003; Zbl 1037.93062) Full Text: DOI
Jiang, Bin; Wang, Jian Liang Actuator fault diagnosis for a class of bilinear systems with uncertainty. (English) Zbl 1027.93013 J. Franklin Inst. 339, No. 3, 361-374 (2002). Reviewer: Stephan Paul Banks (Sheffield) MSC: 93B51 93C73 90B25 PDFBibTeX XMLCite \textit{B. Jiang} and \textit{J. L. Wang}, J. Franklin Inst. 339, No. 3, 361--374 (2002; Zbl 1027.93013) Full Text: DOI
Tsai, Jason S. H.; Shieh, Cheng S.; Sun, York Y. Digital modelling and robust digital redesign of sampled-data uncertain systems via the interval tuning bilinear approximation method. (English) Zbl 0981.93042 J. Franklin Inst. 338, No. 5, 615-630 (2001). Reviewer: Svitlana P.Rogovchenko (Famagusta) MSC: 93C57 93C62 PDFBibTeX XMLCite \textit{J. S. H. Tsai} et al., J. Franklin Inst. 338, No. 5, 615--630 (2001; Zbl 0981.93042) Full Text: DOI
Pitton, James W. The statistics of time-frequency analysis. (English) Zbl 0988.93081 J. Franklin Inst. 337, No. 4, 379-388 (2000). Reviewer: Pedro A.Morettin (São Paulo) MSC: 93E10 94A12 PDFBibTeX XMLCite \textit{J. W. Pitton}, J. Franklin Inst. 337, No. 4, 379--388 (2000; Zbl 0988.93081) Full Text: DOI
Shiomi, Koji; Otsuka, Naohisa; Inaba, Hiroshi; Ishii, Rokuya The property of bilinear transformation matrix and Schur stability for a linear combination of polynomials. (English) Zbl 0969.93026 J. Franklin Inst. 336, No. 3, 533-541 (1999). Reviewer: Krzycztof Gałkowski (Zielona Góra) MSC: 93D09 93B17 93C55 12D10 PDFBibTeX XMLCite \textit{K. Shiomi} et al., J. Franklin Inst. 336, No. 3, 533--541 (1999; Zbl 0969.93026) Full Text: DOI
Kotsios, Stelios A note on BIBO stability of bilinear systems. (English) Zbl 0852.93083 J. Franklin Inst. 332B, No. 6, 755-760 (1995). MSC: 93D25 93C55 93C10 PDFBibTeX XMLCite \textit{S. Kotsios}, J. Franklin Inst. 332B, No. 6, 755--760 (1995; Zbl 0852.93083) Full Text: DOI
Shieh, Leang S.; Kasavaraju, Ramesh K.; Tsai, Jason S. H. Digital redesign of a continuous-time controller using the Padé and inverse-Padé approximation method. (English) Zbl 0860.93021 J. Franklin Inst. 332B, No. 4, 433-442 (1995). Reviewer: A.Bultheel (Leuven) MSC: 93C57 41A21 93B17 PDFBibTeX XMLCite \textit{L. S. Shieh} et al., J. Franklin Inst. 332B, No. 4, 433--442 (1995; Zbl 0860.93021) Full Text: DOI
Marszałek, W.; Kekkeris, G. T. Recursive analysis of two-dimensional discrete systems: An operational approach. (English) Zbl 0708.93053 J. Franklin Inst. 327, No. 3, 457-464 (1990). Reviewer: V.Kankova MSC: 93C55 93B28 93C05 PDFBibTeX XMLCite \textit{W. Marszałek} and \textit{G. T. Kekkeris}, J. Franklin Inst. 327, No. 3, 457--464 (1990; Zbl 0708.93053) Full Text: DOI
Erfani, S.; Ahmadi, M.; Ramachandran, V. An explicit formula for the general bilinear transformation of polynomials with its application. (English) Zbl 0642.93013 J. Franklin Inst. 325, No. 3, 385-391 (1988). MSC: 93B17 93B40 93C55 PDFBibTeX XMLCite \textit{S. Erfani} et al., J. Franklin Inst. 325, No. 3, 385--391 (1988; Zbl 0642.93013) Full Text: DOI
Marszałek, Wiesław Analysis of bilinear systems with Picard’s method and block-pulse operational matrices. (English) Zbl 0581.93029 J. Franklin Inst. 320, 105-109 (1985). MSC: 93C10 34A45 42C10 33C45 44A45 93C15 PDFBibTeX XMLCite \textit{W. Marszałek}, J. Franklin Inst. 320, 105--109 (1985; Zbl 0581.93029) Full Text: DOI
Therapos, Constantine P. Stable denominators for the simplification of z-transfer functions. (English) Zbl 0569.93063 J. Franklin Inst. 319, 499-506 (1985). MSC: 93D99 30B70 93B17 41A20 PDFBibTeX XMLCite \textit{C. P. Therapos}, J. Franklin Inst. 319, 499--506 (1985; Zbl 0569.93063) Full Text: DOI
Liu, Chengchiian; Shih, Yenping Analysis and parameter estimation of bilinear systems via Chebyshev polynomials. (English) Zbl 0538.93030 J. Franklin Inst. 317, 373-382 (1984). MSC: 93C10 33C45 93C99 42C10 44A45 93B30 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Shih}, J. Franklin Inst. 317, 373--382 (1984; Zbl 0538.93030) Full Text: DOI
Jan, Y. G.; Wong, K. M. Bilinear system identification by block pulse functions. (English) Zbl 0474.93061 J. Franklin Inst. 312, 349-359 (1981). MSC: 93E12 93C10 42C15 93E25 PDFBibTeX XMLCite \textit{Y. G. Jan} and \textit{K. M. Wong}, J. Franklin Inst. 312, 349--359 (1981; Zbl 0474.93061) Full Text: DOI