TY - GEN
T1 - Diffusive representation of Riemann-Liouville fractional integrals and derivatives
AU - Guo, Yuxiang
AU - Ma, Baoli
N1 - Publisher Copyright:
© 2017 Technical Committee on Control Theory, CAA.
PY - 2017/9/7
Y1 - 2017/9/7
N2 - This paper presents a novel equivalent description of fractional-order integrals and derivatives via an auxiliary integral function of two variables. Employing the concept of Laguerre integration, a novel approximate scheme for the resulting infinite dimensional state space model is derived. A simple example with numerical simulations is provided to show the superiority and effectiveness of the proposed method in comparison with some related works from the previous results.
AB - This paper presents a novel equivalent description of fractional-order integrals and derivatives via an auxiliary integral function of two variables. Employing the concept of Laguerre integration, a novel approximate scheme for the resulting infinite dimensional state space model is derived. A simple example with numerical simulations is provided to show the superiority and effectiveness of the proposed method in comparison with some related works from the previous results.
KW - fractional-order system
KW - Laguerre integration
KW - Mittag-Leffler function
KW - Riemann-Liouville derivative
KW - Riemann-Liouville integral
UR - https://www.scopus.com/pages/publications/85032204985
U2 - 10.23919/ChiCC.2017.8029166
DO - 10.23919/ChiCC.2017.8029166
M3 - 会议稿件
AN - SCOPUS:85032204985
T3 - Chinese Control Conference, CCC
SP - 11335
EP - 11339
BT - Proceedings of the 36th Chinese Control Conference, CCC 2017
A2 - Liu, Tao
A2 - Zhao, Qianchuan
PB - IEEE Computer Society
T2 - 36th Chinese Control Conference, CCC 2017
Y2 - 26 July 2017 through 28 July 2017
ER -