Wei, Yiheng; Wei, Yingdong; Hou, Yuqing; Zhao, Xuan Limited frequency band diffusive representation for nabla fractional order transfer functions. (English) Zbl 1507.39014 Turk. J. Math. 46, No. 2, SI-1, 416-432 (2022). MSC: 39A70 26A33 44A10 40A05 47B39 PDFBibTeX XMLCite \textit{Y. Wei} et al., Turk. J. Math. 46, No. 2, 416--432 (2022; Zbl 1507.39014) Full Text: DOI
Casquilho, José Pinto On the weighted Gini-Simpson index: estimating feasible weights using the optimal point and discussing a link with possibility theory. (English) Zbl 1497.91224 Soft Comput. 24, No. 22, 17187-17194 (2020). MSC: 91B82 PDFBibTeX XMLCite \textit{J. P. Casquilho}, Soft Comput. 24, No. 22, 17187--17194 (2020; Zbl 1497.91224) Full Text: DOI
Abolvafaei, Mahnaz; Ganjefar, Soheil Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method. (English) Zbl 1458.93189 Math. Control Signals Syst. 32, No. 4, 517-542 (2020). MSC: 93D05 93C15 26A33 93C70 93C10 PDFBibTeX XMLCite \textit{M. Abolvafaei} and \textit{S. Ganjefar}, Math. Control Signals Syst. 32, No. 4, 517--542 (2020; Zbl 1458.93189) Full Text: DOI
Liang, Shu; Wang, Leyi; Yin, George Fractional differential equation approach for convex optimization with convergence rate analysis. (English) Zbl 1433.90114 Optim. Lett. 14, No. 1, 145-155 (2020). MSC: 90C25 34A08 34D05 PDFBibTeX XMLCite \textit{S. Liang} et al., Optim. Lett. 14, No. 1, 145--155 (2020; Zbl 1433.90114) Full Text: DOI
Wei, Yiheng; Chen, Yuquan; Wang, Jiachang; Wang, Yong Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems. (English) Zbl 1464.39018 Commun. Nonlinear Sci. Numer. Simul. 72, 472-492 (2019). MSC: 39A70 26A33 PDFBibTeX XMLCite \textit{Y. Wei} et al., Commun. Nonlinear Sci. Numer. Simul. 72, 472--492 (2019; Zbl 1464.39018) Full Text: DOI
Bingi, Kishore; Ibrahim, Rosdiazli; Karsiti, Mohd Noh; Hassam, Sabo Miya; Harindran, Vivekananda Rajah Frequency response based curve fitting approximation of fractional-order PID controllers. (English) Zbl 1430.93137 Int. J. Appl. Math. Comput. Sci. 29, No. 2, 311-326 (2019). MSC: 93C80 93B35 93C15 26A33 PDFBibTeX XMLCite \textit{K. Bingi} et al., Int. J. Appl. Math. Comput. Sci. 29, No. 2, 311--326 (2019; Zbl 1430.93137) Full Text: DOI
Liang, Shu; Liang, Yinshan Inverse Lyapunov theorem for linear time invariant fractional order systems. (English) Zbl 1428.93099 J. Syst. Sci. Complex. 32, No. 6, 1544-1559 (2019). MSC: 93D30 93C15 93C20 26A33 93C05 PDFBibTeX XMLCite \textit{S. Liang} and \textit{Y. Liang}, J. Syst. Sci. Complex. 32, No. 6, 1544--1559 (2019; Zbl 1428.93099) Full Text: DOI
Baranowski, Jerzy Quadrature based approximations of non-integer order integrator on finite integration interval. (English) Zbl 1425.93095 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 11-20 (2017). MSC: 93B40 93B28 26A33 PDFBibTeX XMLCite \textit{J. Baranowski}, Lect. Notes Electr. Eng. 407, 11--20 (2017; Zbl 1425.93095) Full Text: DOI
Chen, Yuquan; Wei, Yiheng; Zhou, Xi; Wang, Yong Stability for nonlinear fractional order systems: an indirect approach. (English) Zbl 1384.93107 Nonlinear Dyn. 89, No. 2, 1011-1018 (2017). MSC: 93D05 34A08 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Dyn. 89, No. 2, 1011--1018 (2017; Zbl 1384.93107) Full Text: DOI
Bania, Piotr; Baranowski, Jerzy; Zagórowska, Marta Convergence of Laguerre impulse response approximation for noninteger order systems. (English) Zbl 1400.42003 Math. Probl. Eng. 2016, Article ID 9258437, 13 p. (2016). MSC: 42A10 41A60 93B15 26A33 PDFBibTeX XMLCite \textit{P. Bania} et al., Math. Probl. Eng. 2016, Article ID 9258437, 13 p. (2016; Zbl 1400.42003) Full Text: DOI
Du, Bin; Wei, Yiheng; Liang, Shu; Wang, Yong Estimation of exact initial states of fractional order systems. (English) Zbl 1371.39001 Nonlinear Dyn. 86, No. 3, 2061-2070 (2016). MSC: 39A05 PDFBibTeX XMLCite \textit{B. Du} et al., Nonlinear Dyn. 86, No. 3, 2061--2070 (2016; Zbl 1371.39001) Full Text: DOI
Sabatier, Jocelyn; Farges, Christophe; Fadiga, Lamine Approximation of a fractional order model by an integer order model: a new approach taking into account approximation error as an uncertainty. (English) Zbl 1365.34019 J. Vib. Control 22, No. 8, 2069-2082 (2016). MSC: 34A08 93C23 26A33 93B40 PDFBibTeX XMLCite \textit{J. Sabatier} et al., J. Vib. Control 22, No. 8, 2069--2082 (2016; Zbl 1365.34019) Full Text: DOI
Safarinejadian, Behrooz; Asad, Mojtaba; Sadeghi, Mokhtar Sha Simultaneous state estimation and parameter identification in linear fractional order systems using coloured measurement noise. (English) Zbl 1360.93680 Int. J. Control 89, No. 11, 2277-2296 (2016). MSC: 93E10 93E12 93C05 93C55 PDFBibTeX XMLCite \textit{B. Safarinejadian} et al., Int. J. Control 89, No. 11, 2277--2296 (2016; Zbl 1360.93680) Full Text: DOI
Baranowski, Jerzy; Bauer, Waldemar; Zagórowska, Marta; Piątek, Paweł On digital realizations of non-integer order filters. (English) Zbl 1345.93152 Circuits Syst. Signal Process. 35, No. 6, 2083-2107 (2016). MSC: 93E11 93E10 93B12 93B51 PDFBibTeX XMLCite \textit{J. Baranowski} et al., Circuits Syst. Signal Process. 35, No. 6, 2083--2107 (2016; Zbl 1345.93152) Full Text: DOI
Hu, Yangsheng; Fan, Yuan; Wei, Yiheng; Wang, Yong; Liang, Qing Subspace-based continuous-time identification of fractional order systems from non-uniformly sampled data. (English) Zbl 1333.93084 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 1, 122-134 (2016). MSC: 93B30 93C57 PDFBibTeX XMLCite \textit{Y. Hu} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 1, 122--134 (2016; Zbl 1333.93084) Full Text: DOI
Jiang, Yao-Lin; Xiao, Zhi-Hua Arnoldi-based model reduction for fractional order linear systems. (English) Zbl 1312.93025 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 8, 1411-1420 (2015). MSC: 93B11 34A08 93C05 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{Z.-H. Xiao}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 8, 1411--1420 (2015; Zbl 1312.93025) Full Text: DOI
Wei, Yiheng; Karimi, Hamid Reza; Pan, Jinwen; Gao, Qing; Wang, Yong Observation of a class of disturbance in time series expansion for fractional order systems. (English) Zbl 1474.93045 Abstr. Appl. Anal. 2014, Article ID 874943, 9 p. (2014). MSC: 93B30 34A08 93D20 PDFBibTeX XMLCite \textit{Y. Wei} et al., Abstr. Appl. Anal. 2014, Article ID 874943, 9 p. (2014; Zbl 1474.93045) Full Text: DOI
Wei, Yiheng; Karimi, Hamid Reza; Liang, Shu; Gao, Qing; Wang, Yong General output feedback stabilization for fractional order systems: an LMI approach. (English) Zbl 1406.93271 Abstr. Appl. Anal. 2014, Article ID 737495, 9 p. (2014). MSC: 93D15 93C15 34A08 26A33 93B35 PDFBibTeX XMLCite \textit{Y. Wei} et al., Abstr. Appl. Anal. 2014, Article ID 737495, 9 p. (2014; Zbl 1406.93271) Full Text: DOI