Zhang, Bo; Gao, Yuelin; Liu, Xia; Huang, Xiaoli Interval division and linearization algorithm for minimax linear fractional program. (English) Zbl 07792402 Numer. Algorithms 95, No. 2, 839-858 (2024). MSC: 65K10 68Q25 PDFBibTeX XMLCite \textit{B. Zhang} et al., Numer. Algorithms 95, No. 2, 839--858 (2024; Zbl 07792402) Full Text: DOI
Li, Feng; Liang, Mingjun; He, Naibao; Cao, Qingfeng Separation identification approach for the nonlinear systems with process noise using correlation analysis. (English) Zbl 07816479 Int. J. Robust Nonlinear Control 33, No. 14, 8105-8123 (2023). MSC: 93B30 93C10 PDFBibTeX XMLCite \textit{F. Li} et al., Int. J. Robust Nonlinear Control 33, No. 14, 8105--8123 (2023; Zbl 07816479) Full Text: DOI
Zhang, Chen; Liu, Yang; Li, Li; Song, Fazhi Data filtering-based parameter estimation algorithms for a class of nonlinear systems with colored noises. (English) Zbl 1522.93175 Optim. Control Appl. Methods 44, No. 5, 2338-2357 (2023). MSC: 93E10 93E11 PDFBibTeX XMLCite \textit{C. Zhang} et al., Optim. Control Appl. Methods 44, No. 5, 2338--2357 (2023; Zbl 1522.93175) Full Text: DOI
Liu, Qinyao; Chen, Feiyan Model transformation based distributed stochastic gradient algorithm for multivariate output-error systems. (English) Zbl 1520.93246 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 7, 1484-1502 (2023). MSC: 93C35 93E10 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{F. Chen}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 7, 1484--1502 (2023; Zbl 1520.93246) Full Text: DOI
Jing, Shaoxue Time-delay Hammerstein system identification using modified cross-correlation method and variable stacking length multi-error algorithm. (English) Zbl 07701029 Math. Comput. Simul. 207, 288-300 (2023). MSC: 93-XX 65-XX PDFBibTeX XMLCite \textit{S. Jing}, Math. Comput. Simul. 207, 288--300 (2023; Zbl 07701029) Full Text: DOI
Ding, Feng Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data. (English) Zbl 1518.93160 J. Comput. Appl. Math. 426, Article ID 115107, 38 p. (2023). MSC: 93E24 93E10 93E12 PDFBibTeX XMLCite \textit{F. Ding}, J. Comput. Appl. Math. 426, Article ID 115107, 38 p. (2023; Zbl 1518.93160) Full Text: DOI
Gu, Ya; Dai, Wei; Zhu, Quanmin; Nouri, Hassan Hierarchical multi-innovation stochastic gradient identification algorithm for estimating a bilinear state-space model with moving average noise. (English) Zbl 1503.93046 J. Comput. Appl. Math. 420, Article ID 114794, 19 p. (2023). Reviewer: Vivek S. Borkar (Mumbai) MSC: 93E12 93E11 93E14 93E10 62M05 PDFBibTeX XMLCite \textit{Y. Gu} et al., J. Comput. Appl. Math. 420, Article ID 114794, 19 p. (2023; Zbl 1503.93046) Full Text: DOI
Liu, Wentao; Xiong, Weili Generalized continuous mixed \(p\)-norm based sliding window algorithm for a bilinear system with impulsive noise. (English) Zbl 1528.93032 Int. J. Robust Nonlinear Control 32, No. 13, 7663-7681 (2022). MSC: 93B30 93C27 93C10 93B53 PDFBibTeX XMLCite \textit{W. Liu} and \textit{W. Xiong}, Int. J. Robust Nonlinear Control 32, No. 13, 7663--7681 (2022; Zbl 1528.93032) Full Text: DOI
Liu, Jian; Ji, Yan Auxiliary model-based recursive least squares algorithm for two-input single-output Hammerstein output-error moving average systems by using the hierarchical identification principle. (English) Zbl 1528.93031 Int. J. Robust Nonlinear Control 32, No. 13, 7575-7593 (2022). MSC: 93B30 93C10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Ji}, Int. J. Robust Nonlinear Control 32, No. 13, 7575--7593 (2022; Zbl 1528.93031) Full Text: DOI
Wang, Yanjiao; Tang, Shihua; Deng, Muqing Modeling nonlinear systems using the tensor network B-spline and the multi-innovation identification theory. (English) Zbl 1528.93083 Int. J. Robust Nonlinear Control 32, No. 13, 7304-7318 (2022). MSC: 93C10 93B30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Int. J. Robust Nonlinear Control 32, No. 13, 7304--7318 (2022; Zbl 1528.93083) Full Text: DOI
Ma, Hao; Wang, Yan; Ji, Zhicheng A novel dynamic nonlinear partial least squares based on the cascade structure. (English) Zbl 1527.93176 Int. J. Robust Nonlinear Control 32, No. 6, 3584-3605 (2022). MSC: 93C10 93E12 93E24 PDFBibTeX XMLCite \textit{H. Ma} et al., Int. J. Robust Nonlinear Control 32, No. 6, 3584--3605 (2022; Zbl 1527.93176) Full Text: DOI
Jiang, Anning; Ji, Yan; Wan, Lijuan Iterative parameter identification algorithms for the generalized time-varying system with a measurable disturbance vector. (English) Zbl 1527.93041 Int. J. Robust Nonlinear Control 32, No. 6, 3527-3548 (2022). MSC: 93B30 PDFBibTeX XMLCite \textit{A. Jiang} et al., Int. J. Robust Nonlinear Control 32, No. 6, 3527--3548 (2022; Zbl 1527.93041) Full Text: DOI
Mao, Yawen; Xu, Chen; Chen, Jing; Pu, Yan; Hu, Qingyuan Auxiliary model-based iterative estimation algorithms for nonlinear systems using the covariance matrix adaptation strategy. (English) Zbl 1510.93073 Circuits Syst. Signal Process. 41, No. 12, 6750-6773 (2022). MSC: 93B30 93C10 93C40 PDFBibTeX XMLCite \textit{Y. Mao} et al., Circuits Syst. Signal Process. 41, No. 12, 6750--6773 (2022; Zbl 1510.93073) Full Text: DOI
Huang, Baohua; Ma, Changfeng On the relaxed gradient-based iterative methods for the generalized coupled Sylvester-transpose matrix equations. (English) Zbl 07635125 J. Franklin Inst. 359, No. 18, 10688-10725 (2022). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{B. Huang} and \textit{C. Ma}, J. Franklin Inst. 359, No. 18, 10688--10725 (2022; Zbl 07635125) Full Text: DOI
Chung, Ly-Inn; Lin, Tsair-Chuan; Wang, Chun-Chao Semirecursive nonparametric algorithms for Hammerstein systems with stochastic autocorrelated input. (English) Zbl 1498.93102 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 7, 1503-1515 (2022). Reviewer: Denis Sidorov (Irkutsk) MSC: 93B30 93C10 93C05 PDFBibTeX XMLCite \textit{L.-I. Chung} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 7, 1503--1515 (2022; Zbl 1498.93102) Full Text: DOI
Ji, Yan; Kang, Zhen; Zhang, Xiao; Xu, Ling Model recovery for multi-input signal-output nonlinear systems based on the compressed sensing recovery theory. (English) Zbl 1485.93281 J. Franklin Inst. 359, No. 5, 2317-2339 (2022). MSC: 93C35 93B30 93C10 PDFBibTeX XMLCite \textit{Y. Ji} et al., J. Franklin Inst. 359, No. 5, 2317--2339 (2022; Zbl 1485.93281) Full Text: DOI
Mi, Wen; Qian, Tao System identification of Hammerstein models by using backward shift algorithm. (English) Zbl 1510.93336 Appl. Math. Comput. 413, Article ID 126620, 11 p. (2022). MSC: 93E12 42A38 62M15 94A12 PDFBibTeX XMLCite \textit{W. Mi} and \textit{T. Qian}, Appl. Math. Comput. 413, Article ID 126620, 11 p. (2022; Zbl 1510.93336) Full Text: DOI
Dong, Rui-Qi; Zhang, Ying; Wu, Ai-Guo Weighted hierarchical stochastic gradient identification algorithms for ARX models. (English) Zbl 1483.93672 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 2, 363-373 (2021). MSC: 93E12 93C05 PDFBibTeX XMLCite \textit{R.-Q. Dong} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 2, 363--373 (2021; Zbl 1483.93672) Full Text: DOI
Chen, Jing; Zhu, Quanmin; Hu, Manfeng; Guo, Liuxiao; Narayan, Pritesh Improved gradient descent algorithms for time-delay rational state-space systems: intelligent search method and momentum method. (English) Zbl 1516.90117 Nonlinear Dyn. 101, No. 1, 361-373 (2020). MSC: 90C52 PDFBibTeX XMLCite \textit{J. Chen} et al., Nonlinear Dyn. 101, No. 1, 361--373 (2020; Zbl 1516.90117) Full Text: DOI
Chen, Jing; Shen, Qianyan; Ma, Junxia; Liu, Yanjun Stochastic average gradient algorithm for multirate FIR models with varying time delays using self-organizing maps. (English) Zbl 1469.93108 Int. J. Adapt. Control Signal Process. 34, No. 7, 955-970 (2020). MSC: 93E12 93C27 93C43 PDFBibTeX XMLCite \textit{J. Chen} et al., Int. J. Adapt. Control Signal Process. 34, No. 7, 955--970 (2020; Zbl 1469.93108) Full Text: DOI
Gu, Ya; Zhu, Quanmin; Liu, Jicheng; Zhu, Peiyi; Chou, Yongxin Multi-innovation stochastic gradient parameter and state estimation algorithm for dual-rate state-space systems with \(d\)-step time delay. (English) Zbl 1444.93029 Complexity 2020, Article ID 6128697, 11 p. (2020). MSC: 93E10 93C57 93C43 PDFBibTeX XMLCite \textit{Y. Gu} et al., Complexity 2020, Article ID 6128697, 11 p. (2020; Zbl 1444.93029) Full Text: DOI
Tu, Quan; Rong, Yingjiao; Chen, Jing Parameter identification of ARX models based on modified momentum gradient descent algorithm. (English) Zbl 1441.93319 Complexity 2020, Article ID 9537075, 11 p. (2020). MSC: 93E12 93E10 PDFBibTeX XMLCite \textit{Q. Tu} et al., Complexity 2020, Article ID 9537075, 11 p. (2020; Zbl 1441.93319) Full Text: DOI
Wang, Ziyun; Xu, Guixiang; Liu, Zixing; Wang, Yan; Ji, Zhicheng Orthotopic-filtering-based fault diagnosis algorithms for nonlinear systems with slowly varying faults. (English) Zbl 1441.93317 J. Franklin Inst. 357, No. 9, 5610-5639 (2020). MSC: 93E11 93C10 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Franklin Inst. 357, No. 9, 5610--5639 (2020; Zbl 1441.93317) Full Text: DOI
Wang, Ziyun; Zhang, Shuai; Park, Ju H.; Wang, Yan; Ji, Zhicheng Multi-objective linear-programming-based four-judgment algorithm for linear bounded noise system modeling. (English) Zbl 1441.93168 J. Franklin Inst. 357, No. 9, 5541-5555 (2020). MSC: 93C55 93C05 90C05 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Franklin Inst. 357, No. 9, 5541--5555 (2020; Zbl 1441.93168) Full Text: DOI
Dong, Shijian; Yu, Li; Zhang, Wen-An; Chen, Bo Robust hierarchical identification of Wiener systems in the presence of dynamic disturbances. (English) Zbl 1437.93018 J. Franklin Inst. 357, No. 6, 3809-3834 (2020). MSC: 93B30 93B35 93C73 PDFBibTeX XMLCite \textit{S. Dong} et al., J. Franklin Inst. 357, No. 6, 3809--3834 (2020; Zbl 1437.93018) Full Text: DOI
Lv, Lingling; Tang, Shiyu; Zhang, Lei Parametric solutions to generalized periodic Sylvester bimatrix equations. (English) Zbl 1437.93039 J. Franklin Inst. 357, No. 6, 3601-3621 (2020). MSC: 93B55 93C05 15B99 PDFBibTeX XMLCite \textit{L. Lv} et al., J. Franklin Inst. 357, No. 6, 3601--3621 (2020; Zbl 1437.93039) Full Text: DOI
Ji, Yan; Jiang, Xiaokun; Wan, Lijuan Hierarchical least squares parameter estimation algorithm for two-input Hammerstein finite impulse response systems. (English) Zbl 1437.93131 J. Franklin Inst. 357, No. 8, 5019-5032 (2020). MSC: 93E10 93E24 93C27 93C35 PDFBibTeX XMLCite \textit{Y. Ji} et al., J. Franklin Inst. 357, No. 8, 5019--5032 (2020; Zbl 1437.93131) Full Text: DOI
Zhang, Huamin Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations. (English) Zbl 1442.65071 Comput. Math. Appl. 77, No. 5, 1233-1244 (2019). MSC: 65F45 15A24 15B48 PDFBibTeX XMLCite \textit{H. Zhang}, Comput. Math. Appl. 77, No. 5, 1233--1244 (2019; Zbl 1442.65071) Full Text: DOI
Chaudhary, Naveed Ishtiaq; Aslam khan, Zeshan; Zubair, Syed; Raja, Muhammad Asif Zahoor; Dedovic, Nebojsa Normalized fractional adaptive methods for nonlinear control autoregressive systems. (English) Zbl 1481.93147 Appl. Math. Modelling 66, 457-471 (2019). MSC: 93E35 PDFBibTeX XMLCite \textit{N. I. Chaudhary} et al., Appl. Math. Modelling 66, 457--471 (2019; Zbl 1481.93147) Full Text: DOI
Wang, Zhu; An, Haoran; Luo, Xionglin Switch detection and robust parameter estimation for slowly switched Hammerstein systems. (English) Zbl 1425.93271 Nonlinear Anal., Hybrid Syst. 32, 202-213 (2019). MSC: 93E10 93E12 93B35 93C30 93C10 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Anal., Hybrid Syst. 32, 202--213 (2019; Zbl 1425.93271) Full Text: DOI
Wu, Ai-Guo; Fu, Fang-Zhou; Dong, Rui-Qi Convergence analysis of weighted stochastic gradient identification algorithms based on latest-estimation for ARX models. (English) Zbl 1422.93172 Asian J. Control 21, No. 1, 509-519 (2019). MSC: 93E10 93E12 PDFBibTeX XMLCite \textit{A.-G. Wu} et al., Asian J. Control 21, No. 1, 509--519 (2019; Zbl 1422.93172) Full Text: DOI
Ghoul, Y.; Ibn Taarit, K.; Ksouri, M. Identification of continuous-time systems with multiple unknown time delays using an output error method from sampled data. (English) Zbl 1418.93058 Circuits Syst. Signal Process. 37, No. 3, 1044-1061 (2018). MSC: 93B30 93C15 90C30 93C57 PDFBibTeX XMLCite \textit{Y. Ghoul} et al., Circuits Syst. Signal Process. 37, No. 3, 1044--1061 (2018; Zbl 1418.93058) Full Text: DOI
Huang, Bao-Hua; Ma, Chang-Feng Gradient-based iterative algorithms for generalized coupled Sylvester-conjugate matrix equations. (English) Zbl 1409.65024 Comput. Math. Appl. 75, No. 7, 2295-2310 (2018). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{B.-H. Huang} and \textit{C.-F. Ma}, Comput. Math. Appl. 75, No. 7, 2295--2310 (2018; Zbl 1409.65024) Full Text: DOI
Huang, Baohua; Ma, Changfeng The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations. (English) Zbl 1395.65011 J. Franklin Inst. 355, No. 6, 3168-3195 (2018). MSC: 65F30 15A24 65F10 93B40 PDFBibTeX XMLCite \textit{B. Huang} and \textit{C. Ma}, J. Franklin Inst. 355, No. 6, 3168--3195 (2018; Zbl 1395.65011) Full Text: DOI
Li, Linwei; Ren, Xuemei; Guo, Fumin Modified multi-innovation stochastic gradient algorithm for Wiener-Hammerstein systems with backlash. (English) Zbl 1390.93821 J. Franklin Inst. 355, No. 9, 4050-4075 (2018). MSC: 93E12 93E24 90C15 PDFBibTeX XMLCite \textit{L. Li} et al., J. Franklin Inst. 355, No. 9, 4050--4075 (2018; Zbl 1390.93821) Full Text: DOI
Liu, Ranran; Pan, Tianhong; Chen, Shan; Li, Zhengming Identification of non-uniformly sampled Wiener systems with dead-zone non-linearities. (English) Zbl 1485.93605 Math. Comput. Model. Dyn. Syst. 23, No. 6, 595-612 (2017). MSC: 93E12 93E24 93C57 PDFBibTeX XMLCite \textit{R. Liu} et al., Math. Comput. Model. Dyn. Syst. 23, No. 6, 595--612 (2017; Zbl 1485.93605) Full Text: DOI
Hidayat, Z.; Babuška, R.; Núñez, A.; De Schutter, B. Identification of distributed-parameter systems from sparse measurements. (English) Zbl 1480.93086 Appl. Math. Modelling 51, 605-625 (2017). MSC: 93B30 65L09 PDFBibTeX XMLCite \textit{Z. Hidayat} et al., Appl. Math. Modelling 51, 605--625 (2017; Zbl 1480.93086) Full Text: DOI Link
Zhang, Huamin; Yin, Hongcai New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation. (English) Zbl 1398.65086 Comput. Math. Appl. 74, No. 12, 3260-3270 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{H. Yin}, Comput. Math. Appl. 74, No. 12, 3260--3270 (2017; Zbl 1398.65086) Full Text: DOI
Zhao, Wei; Ren, Xuemei Parameter estimation-based coupling control for generalized cascade systems with guaranteed cost. (English) Zbl 1378.93124 J. Franklin Inst. 354, No. 4, 1696-1721 (2017). MSC: 93E10 93B12 93C41 92B20 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{X. Ren}, J. Franklin Inst. 354, No. 4, 1696--1721 (2017; Zbl 1378.93124) Full Text: DOI
Zhao, Yingfeng; Liu, Sanyang; Jiao, Hongwei A new branch and bound algorithm for minimax ratios problems. (English) Zbl 1368.90134 Open Math. 15, 840-851 (2017). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Open Math. 15, 840--851 (2017; Zbl 1368.90134) Full Text: DOI
Wang, Dongqing; Ding, Feng Parameter estimation algorithms for multivariable Hammerstein CARMA systems. (English) Zbl 1458.93130 Inf. Sci. 355-356, 237-248 (2016). MSC: 93C35 93B30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{F. Ding}, Inf. Sci. 355--356, 237--248 (2016; Zbl 1458.93130) Full Text: DOI
Salhi, Houda; Kamoun, Samira Combined parameter and state estimation algorithms for multivariable nonlinear systems using MIMO Wiener models. (English) Zbl 1346.93364 J. Control Sci. Eng. 2016, Article ID 9614167, 12 p. (2016). MSC: 93E10 93E11 93C35 93C10 93E24 PDFBibTeX XMLCite \textit{H. Salhi} and \textit{S. Kamoun}, J. Control Sci. Eng. 2016, Article ID 9614167, 12 p. (2016; Zbl 1346.93364) Full Text: DOI
Mao, Yawen; Ding, Feng Data filtering-based multi-innovation stochastic gradient algorithm for nonlinear output error autoregressive systems. (English) Zbl 1346.93188 Circuits Syst. Signal Process. 35, No. 2, 651-667 (2016). MSC: 93C10 93E12 PDFBibTeX XMLCite \textit{Y. Mao} and \textit{F. Ding}, Circuits Syst. Signal Process. 35, No. 2, 651--667 (2016; Zbl 1346.93188) Full Text: DOI
Wang, Ziyun; Wang, Yan; Ji, Zhicheng Filtering based multi-innovation extended stochastic gradient algorithm for Hammerstein nonlinear system modeling. (English) Zbl 1443.93022 Appl. Math. Modelling 39, No. 18, 5724-5732 (2015). MSC: 93-10 93E35 PDFBibTeX XMLCite \textit{Z. Wang} et al., Appl. Math. Modelling 39, No. 18, 5724--5732 (2015; Zbl 1443.93022) Full Text: DOI
Salhi, Houda; Kamoun, Samira A recursive parametric estimation algorithm of multivariable nonlinear systems described by Hammerstein mathematical models. (English) Zbl 1443.93016 Appl. Math. Modelling 39, No. 16, 4951-4962 (2015). MSC: 93-10 PDFBibTeX XMLCite \textit{H. Salhi} and \textit{S. Kamoun}, Appl. Math. Modelling 39, No. 16, 4951--4962 (2015; Zbl 1443.93016) Full Text: DOI
Zhang, Yong; Zhao, Zhe; Cui, Guimei Auxiliary model method for transfer function estimation from noisy input and output data. (English) Zbl 1443.93132 Appl. Math. Modelling 39, No. 15, 4257-4265 (2015). MSC: 93E10 93E24 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Modelling 39, No. 15, 4257--4265 (2015; Zbl 1443.93132) Full Text: DOI
Baigereyev, Dossan; Ismailov, Nevazi; Gasimov, Yusif; Namazov, Atif On an identification problem on the determination of the parameters of the dynamic system. (English) Zbl 1394.65055 Math. Probl. Eng. 2015, Article ID 570475, 8 p. (2015). MSC: 65L09 PDFBibTeX XMLCite \textit{D. Baigereyev} et al., Math. Probl. Eng. 2015, Article ID 570475, 8 p. (2015; Zbl 1394.65055) Full Text: DOI
Shi, Zhenwei; Ji, Zhicheng Least squares based and two-stage least squares based iterative estimation algorithms for H-FIR-MA systems. (English) Zbl 1394.93312 Math. Probl. Eng. 2015, Article ID 516374, 8 p. (2015). MSC: 93E10 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{Z. Ji}, Math. Probl. Eng. 2015, Article ID 516374, 8 p. (2015; Zbl 1394.93312) Full Text: DOI
Wang, Dongqing; Zhang, Wei Improved least squares identification algorithm for multivariable Hammerstein systems. (English) Zbl 1395.93287 J. Franklin Inst. 352, No. 11, 5292-5307 (2015). MSC: 93C35 93B30 93E12 93C05 93C10 93E10 93E24 PDFBibTeX XMLCite \textit{D. Wang} and \textit{W. Zhang}, J. Franklin Inst. 352, No. 11, 5292--5307 (2015; Zbl 1395.93287) Full Text: DOI
Filipovic, Vojislav Z. Consistency of the robust recursive Hammerstein model identification algorithm. (English) Zbl 1395.93169 J. Franklin Inst. 352, No. 5, 1932-1945 (2015). MSC: 93B30 93B35 93B40 93E03 93C10 60G48 93E24 PDFBibTeX XMLCite \textit{V. Z. Filipovic}, J. Franklin Inst. 352, No. 5, 1932--1945 (2015; Zbl 1395.93169) Full Text: DOI
Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; Rehman Khan, Anees Ur Design of modified fractional adaptive strategies for Hammerstein nonlinear control autoregressive systems. (English) Zbl 1437.93138 Nonlinear Dyn. 82, No. 4, 1811-1830 (2015). MSC: 93E12 93E24 94A12 PDFBibTeX XMLCite \textit{N. I. Chaudhary} et al., Nonlinear Dyn. 82, No. 4, 1811--1830 (2015; Zbl 1437.93138) Full Text: DOI
Chen, Huibo; Ding, Feng; Xiao, Yongsong Decomposition-based least squares parameter estimation algorithm for input nonlinear systems using the key term separation technique. (English) Zbl 1331.93083 Nonlinear Dyn. 79, No. 3, 2027-2035 (2015). MSC: 93C10 93E12 93E24 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinear Dyn. 79, No. 3, 2027--2035 (2015; Zbl 1331.93083) Full Text: DOI
Mao, Yawen; Ding, Feng Multi-innovation stochastic gradient identification for Hammerstein controlled autoregressive autoregressive systems based on the filtering technique. (English) Zbl 1331.93211 Nonlinear Dyn. 79, No. 3, 1745-1755 (2015). MSC: 93E12 93E11 93B30 93C10 PDFBibTeX XMLCite \textit{Y. Mao} and \textit{F. Ding}, Nonlinear Dyn. 79, No. 3, 1745--1755 (2015; Zbl 1331.93211) Full Text: DOI
Wang, Cheng; Tang, Tao; Chen, Dewang Least-squares based and gradient based iterative parameter estimation algorithms for a class of linear-in-parameters multiple-input single-output output error systems. (English) Zbl 1463.93246 J. Appl. Math. 2014, Article ID 673197, 8 p. (2014). MSC: 93E12 93E24 93C35 93C10 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Appl. Math. 2014, Article ID 673197, 8 p. (2014; Zbl 1463.93246) Full Text: DOI
Zhang, Huamin Iterative solutions of a set of matrix equations by using the hierarchical identification principle. (English) Zbl 1468.65038 Abstr. Appl. Anal. 2014, Article ID 649524, 10 p. (2014). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{H. Zhang}, Abstr. Appl. Anal. 2014, Article ID 649524, 10 p. (2014; Zbl 1468.65038) Full Text: DOI
Chen, Jing; Ding, Ruifeng Two identification methods for dual-rate sampled-data nonlinear output-error systems. (English) Zbl 1407.93370 Math. Probl. Eng. 2014, Article ID 329437, 10 p. (2014). MSC: 93E10 93E12 PDFBibTeX XMLCite \textit{J. Chen} and \textit{R. Ding}, Math. Probl. Eng. 2014, Article ID 329437, 10 p. (2014; Zbl 1407.93370) Full Text: DOI
Ding, Feng Combined state and least squares parameter estimation algorithms for dynamic systems. (English) Zbl 1449.93254 Appl. Math. Modelling 38, No. 1, 403-412 (2014). MSC: 93E12 93E10 93E24 PDFBibTeX XMLCite \textit{F. Ding}, Appl. Math. Modelling 38, No. 1, 403--412 (2014; Zbl 1449.93254) Full Text: DOI
Ma, Junxia; Ding, Rui Recursive computational formulas of the least squares criterion functions for scalar system identification. (English) Zbl 1449.93245 Appl. Math. Modelling 38, No. 1, 1-11 (2014). MSC: 93E10 93E12 93E24 PDFBibTeX XMLCite \textit{J. Ma} and \textit{R. Ding}, Appl. Math. Modelling 38, No. 1, 1--11 (2014; Zbl 1449.93245) Full Text: DOI
Lu, Xianling; Shi, Wenlin; Zhou, Wei Decomposition based least squares iterative estimation algorithm for two-input single-output output error systems. (English) Zbl 1393.93131 J. Franklin Inst. 351, No. 12, 5511-5522 (2014). MSC: 93E12 93E24 93B11 PDFBibTeX XMLCite \textit{X. Lu} et al., J. Franklin Inst. 351, No. 12, 5511--5522 (2014; Zbl 1393.93131) Full Text: DOI
Ding, Sheng; Ding, Rui; Yang, Erfu A filtering based recursive least squares estimation algorithm for pseudo-linear auto-regressive systems. (English) Zbl 1395.93531 J. Franklin Inst. 351, No. 3, 1801-1809 (2014). MSC: 93E11 93E10 93E24 93B30 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Franklin Inst. 351, No. 3, 1801--1809 (2014; Zbl 1395.93531) Full Text: DOI
Xu, Ling A proportional differential control method for a time-delay system using the Taylor expansion approximation. (English) Zbl 1334.93125 Appl. Math. Comput. 236, 391-399 (2014). MSC: 93C80 65L99 41A58 PDFBibTeX XMLCite \textit{L. Xu}, Appl. Math. Comput. 236, 391--399 (2014; Zbl 1334.93125) Full Text: DOI
Hu, Huiyi; Ding, Rui Least squares based iterative identification algorithms for input nonlinear controlled autoregressive systems based on the auxiliary model. (English) Zbl 1319.93081 Nonlinear Dyn. 76, No. 1, 777-784 (2014). MSC: 93E24 39B12 62F10 62M10 65Q30 93E12 PDFBibTeX XMLCite \textit{H. Hu} and \textit{R. Ding}, Nonlinear Dyn. 76, No. 1, 777--784 (2014; Zbl 1319.93081) Full Text: DOI
Wang, Cheng; Tang, Tao Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. (English) Zbl 1314.93013 Nonlinear Dyn. 77, No. 3, 769-780 (2014). MSC: 93B30 93C10 93E11 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T. Tang}, Nonlinear Dyn. 77, No. 3, 769--780 (2014; Zbl 1314.93013) Full Text: DOI
Yang, Dan; Ding, Rui Transforms from differential equations to difference equations and vice-versa applied to computer control systems. (English) Zbl 1311.93030 Appl. Math. Lett. 31, 18-24 (2014). MSC: 93B40 93B17 44A10 PDFBibTeX XMLCite \textit{D. Yang} and \textit{R. Ding}, Appl. Math. Lett. 31, 18--24 (2014; Zbl 1311.93030) Full Text: DOI
Wang, Cheng; Tang, Tao Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems. (English) Zbl 1311.93082 Appl. Math. Lett. 29, 36-41 (2014). MSC: 93E12 93E24 62F10 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T. Tang}, Appl. Math. Lett. 29, 36--41 (2014; Zbl 1311.93082) Full Text: DOI
Li, Xiangli; Zhou, Lincheng; Sheng, Jie; Ding, Ruifeng Recursive least squares parameter estimation algorithm for dual-rate sampled-data nonlinear systems. (English) Zbl 1306.93022 Nonlinear Dyn. 76, No. 2, 1327-1334 (2014). MSC: 93B30 93C10 PDFBibTeX XMLCite \textit{X. Li} et al., Nonlinear Dyn. 76, No. 2, 1327--1334 (2014; Zbl 1306.93022) Full Text: DOI
Ramadan, Mohamed A.; El-Danaf, Talaat S.; Bayoumi, Ahmed M. E. A relaxed gradient based algorithm for solving extended Sylvester-conjugate matrix equations. (English) Zbl 1305.93072 Asian J. Control 16, No. 5, 1334-1341 (2014). MSC: 93B40 90C52 PDFBibTeX XMLCite \textit{M. A. Ramadan} et al., Asian J. Control 16, No. 5, 1334--1341 (2014; Zbl 1305.93072) Full Text: DOI
Jiao, Hongwei; Liu, Sanyang A new linearization technique for minimax linear fractional programming. (English) Zbl 1302.90210 Int. J. Comput. Math. 91, No. 8, 1730-1743 (2014). MSC: 90C30 90C32 65K05 PDFBibTeX XMLCite \textit{H. Jiao} and \textit{S. Liu}, Int. J. Comput. Math. 91, No. 8, 1730--1743 (2014; Zbl 1302.90210) Full Text: DOI
Song, Caiqin; Feng, Jun-E.; Wang, Xiaodong; Zhao, Jianli Parametric solutions to the generalized discrete Yakubovich-transpose matrix equation. (English) Zbl 1300.93111 Asian J. Control 16, No. 4, 1133-1140 (2014). MSC: 93C55 15A24 PDFBibTeX XMLCite \textit{C. Song} et al., Asian J. Control 16, No. 4, 1133--1140 (2014; Zbl 1300.93111) Full Text: DOI
Zhang, Huamin; Ding, Feng A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations. (English) Zbl 1293.15006 J. Franklin Inst. 351, No. 1, 340-357 (2014). MSC: 15A18 15A24 65F10 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{F. Ding}, J. Franklin Inst. 351, No. 1, 340--357 (2014; Zbl 1293.15006) Full Text: DOI
Shen, Qianyan; Ding, Feng Iterative estimation methods for Hammerstein controlled autoregressive moving average systems based on the key-term separation principle. (English) Zbl 1283.93299 Nonlinear Dyn. 75, No. 4, 709-716 (2014). MSC: 93E12 93C10 PDFBibTeX XMLCite \textit{Q. Shen} and \textit{F. Ding}, Nonlinear Dyn. 75, No. 4, 709--716 (2014; Zbl 1283.93299) Full Text: DOI
Li, Junhong; Ding, Feng; Hua, Liang Maximum likelihood Newton recursive and the Newton iterative estimation algorithms for Hammerstein CARAR systems. (English) Zbl 1281.93099 Nonlinear Dyn. 75, No. 1-2, 235-245 (2014). MSC: 93E10 93C10 93B30 49M15 PDFBibTeX XMLCite \textit{J. Li} et al., Nonlinear Dyn. 75, No. 1--2, 235--245 (2014; Zbl 1281.93099) Full Text: DOI
Wang, Dongqing; Ding, Feng; Ximei, Liu Least squares algorithm for an input nonlinear system with a dynamic subspace state space model. (English) Zbl 1281.93050 Nonlinear Dyn. 75, No. 1-2, 49-61 (2014). MSC: 93C10 93E24 93E12 93E10 93C25 PDFBibTeX XMLCite \textit{D. Wang} et al., Nonlinear Dyn. 75, No. 1--2, 49--61 (2014; Zbl 1281.93050) Full Text: DOI
Zhou, Lincheng; Li, Xiangli; Pan, Feng Gradient based iterative parameter identification for Wiener nonlinear systems. (English) Zbl 1426.93348 Appl. Math. Modelling 37, No. 16-17, 8203-8209 (2013). MSC: 93E12 93E10 62F10 93B30 PDFBibTeX XMLCite \textit{L. Zhou} et al., Appl. Math. Modelling 37, No. 16--17, 8203--8209 (2013; Zbl 1426.93348) Full Text: DOI
Wang, Shijun; Ding, Rui Three-stage recursive least squares parameter estimation for controlled autoregressive autoregressive systems. (English) Zbl 1438.93223 Appl. Math. Modelling 37, No. 12-13, 7489-7497 (2013). MSC: 93E10 93E12 93E24 PDFBibTeX XMLCite \textit{S. Wang} and \textit{R. Ding}, Appl. Math. Modelling 37, No. 12--13, 7489--7497 (2013; Zbl 1438.93223) Full Text: DOI
Liu, Manman; Xiao, Yongsong; Ding, Ruifeng Iterative identification algorithm for Wiener nonlinear systems using the Newton method. (English) Zbl 1438.93229 Appl. Math. Modelling 37, No. 9, 6584-6591 (2013). MSC: 93E12 93E10 93C10 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Math. Modelling 37, No. 9, 6584--6591 (2013; Zbl 1438.93229) Full Text: DOI
Peng, Zhuohua; Xin, Huimin The reflexive least squares solutions of the general coupled matrix equations with a submatrix constraint. (English) Zbl 1336.65074 Appl. Math. Comput. 225, 425-445 (2013); correction ibid. 247, 233-234 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Z. Peng} and \textit{H. Xin}, Appl. Math. Comput. 225, 425--445 (2013; Zbl 1336.65074) Full Text: DOI
Ding, Feng Computation of matrix exponentials of special matrices. (English) Zbl 1329.15026 Appl. Math. Comput. 223, 311-326 (2013). MSC: 15A16 PDFBibTeX XMLCite \textit{F. Ding}, Appl. Math. Comput. 223, 311--326 (2013; Zbl 1329.15026) Full Text: DOI
Zhou, Lincheng; Li, Xiangli; Pan, Feng Gradient-based iterative identification for MISO Wiener nonlinear systems: application to a glutamate fermentation process. (English) Zbl 1307.93438 Appl. Math. Lett. 26, No. 8, 886-892 (2013). MSC: 93E12 93A30 92C40 93C10 PDFBibTeX XMLCite \textit{L. Zhou} et al., Appl. Math. Lett. 26, No. 8, 886--892 (2013; Zbl 1307.93438) Full Text: DOI
Li, Xiangli; Ding, Feng Signal modeling using the gradient search. (English) Zbl 1308.94036 Appl. Math. Lett. 26, No. 8, 807-813 (2013). MSC: 94A12 PDFBibTeX XMLCite \textit{X. Li} and \textit{F. Ding}, Appl. Math. Lett. 26, No. 8, 807--813 (2013; Zbl 1308.94036) Full Text: DOI
Gu, Ya; Ding, Rui A least squares identification algorithm for a state space model with multi-state delays. (English) Zbl 1307.93435 Appl. Math. Lett. 26, No. 7, 748-753 (2013). MSC: 93E12 93E10 93E24 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{R. Ding}, Appl. Math. Lett. 26, No. 7, 748--753 (2013; Zbl 1307.93435) Full Text: DOI
Chen, Zhen; Lu, Linzhang A gradient based iterative solutions for Sylvester tensor equations. (English) Zbl 1299.65045 Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Lu}, Math. Probl. Eng. 2013, Article ID 819479, 7 p. (2013; Zbl 1299.65045) Full Text: DOI
Li, Xiangli; Zhou, Lincheng; Ding, Ruifeng; Sheng, Jie Recursive least-squares estimation for Hammerstein nonlinear systems with nonuniform sampling. (English) Zbl 1296.93185 Math. Probl. Eng. 2013, Article ID 240929, 8 p. (2013). MSC: 93E10 62D05 93E24 94A20 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Probl. Eng. 2013, Article ID 240929, 8 p. (2013; Zbl 1296.93185) Full Text: DOI
Hu, Peipei; Ding, Feng; Sheng, Jie Auxiliary model based least squares parameter estimation algorithm for feedback nonlinear systems using the hierarchical identification principle. (English) Zbl 1293.93789 J. Franklin Inst. 350, No. 10, 3248-3259 (2013). MSC: 93E24 93E15 93E10 93C10 PDFBibTeX XMLCite \textit{P. Hu} et al., J. Franklin Inst. 350, No. 10, 3248--3259 (2013; Zbl 1293.93789) Full Text: DOI
Liu, Yanjun; Ding, Rui Consistency of the extended gradient identification algorithm for multi-input multi-output systems with moving average noises. (English) Zbl 1302.93076 Int. J. Comput. Math. 90, No. 9, 1840-1852 (2013). MSC: 93B30 93A30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{R. Ding}, Int. J. Comput. Math. 90, No. 9, 1840--1852 (2013; Zbl 1302.93076) Full Text: DOI
Chen, Yuhuan; Yi, Chenfu; Qiao, Dengyu Improved neural solution for the Lyapunov matrix equation based on gradient search. (English) Zbl 1284.68492 Inf. Process. Lett. 113, No. 22-24, 876-881 (2013). MSC: 68T05 68W40 65F10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Inf. Process. Lett. 113, No. 22--24, 876--881 (2013; Zbl 1284.68492) Full Text: DOI
Ding, Feng; Ma, Junxia; Xiao, Yongsong Newton iterative identification for a class of output nonlinear systems with moving average noises. (English) Zbl 1281.93109 Nonlinear Dyn. 74, No. 1-2, 21-30 (2013). MSC: 93E25 93C10 37M25 37-04 PDFBibTeX XMLCite \textit{F. Ding} et al., Nonlinear Dyn. 74, No. 1--2, 21--30 (2013; Zbl 1281.93109) Full Text: DOI
Gu, Ya; Ding, Feng Parameter estimation for a multivariable state space system with \(d\)-step state-delay. (English) Zbl 1281.93103 J. Franklin Inst. 350, No. 4, 724-736 (2013). MSC: 93E12 93C35 93E10 93E24 PDFBibTeX XMLCite \textit{Y. Gu} and \textit{F. Ding}, J. Franklin Inst. 350, No. 4, 724--736 (2013; Zbl 1281.93103) Full Text: DOI
Wang, Ziyun; Shen, Yanxia; Ji, Zhicheng; Ding, Rui Filtering based recursive least squares algorithm for Hammerstein FIR-MA systems. (English) Zbl 1281.93102 Nonlinear Dyn. 73, No. 1-2, 1045-1054 (2013). MSC: 93E11 93E24 93E10 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Dyn. 73, No. 1--2, 1045--1054 (2013; Zbl 1281.93102) Full Text: DOI
Hu, Peipei; Ding, Feng Multistage least squares based iterative estimation for feedback nonlinear systems with moving average noises using the hierarchical identification principle. (English) Zbl 1281.93033 Nonlinear Dyn. 73, No. 1-2, 583-592 (2013). MSC: 93B30 93C10 93B40 93E10 93A13 93E24 PDFBibTeX XMLCite \textit{P. Hu} and \textit{F. Ding}, Nonlinear Dyn. 73, No. 1--2, 583--592 (2013; Zbl 1281.93033) Full Text: DOI
Sun, Jianliang; Liu, Xinggao A novel APSO-aided maximum likelihood identification method for Hammerstein systems. (English) Zbl 1281.93035 Nonlinear Dyn. 73, No. 1-2, 449-462 (2013). MSC: 93B30 93C40 93C10 PDFBibTeX XMLCite \textit{J. Sun} and \textit{X. Liu}, Nonlinear Dyn. 73, No. 1--2, 449--462 (2013; Zbl 1281.93035) Full Text: DOI
Li, Xiangli; Ding, Ruifeng; Zhou, Lincheng Least-squares-based iterative identification algorithm for Hammerstein nonlinear systems with non-uniform sampling. (English) Zbl 1272.93082 Int. J. Comput. Math. 90, No. 7, 1524-1534 (2013). MSC: 93C57 93E12 93E24 93A30 PDFBibTeX XMLCite \textit{X. Li} et al., Int. J. Comput. Math. 90, No. 7, 1524--1534 (2013; Zbl 1272.93082) Full Text: DOI
Zhang, Huamin; Ding, Feng On the Kronecker products and their applications. (English) Zbl 1275.15019 J. Appl. Math. 2013, Article ID 296185, 8 p. (2013). MSC: 15A69 15A18 15A15 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{F. Ding}, J. Appl. Math. 2013, Article ID 296185, 8 p. (2013; Zbl 1275.15019) Full Text: DOI
Zhou, Lincheng; Li, Xiangli; Pan, Feng Least-squares-based iterative identification algorithm for Wiener nonlinear systems. (English) Zbl 1266.93032 J. Appl. Math. 2013, Article ID 565841, 6 p. (2013). MSC: 93B30 PDFBibTeX XMLCite \textit{L. Zhou} et al., J. Appl. Math. 2013, Article ID 565841, 6 p. (2013; Zbl 1266.93032) Full Text: DOI
Xiong, Weili; Fan, Wei; Ding, Rui Least-squares parameter estimation algorithm for a class of input nonlinear systems. (English) Zbl 1251.62036 J. Appl. Math. 2012, Article ID 684074, 14 p. (2012). MSC: 62M10 62F12 65C60 PDFBibTeX XMLCite \textit{W. Xiong} et al., J. Appl. Math. 2012, Article ID 684074, 14 p. (2012; Zbl 1251.62036) Full Text: DOI