Yan Li's Homepage

Email: FractionalCalculusApplication@gmail.com

Yan Li Received his Ph.D. in Applied Mathematics from Shandong University (2008). Yan Li's adviser is Professor Mingyu Xu.

Yan Li was supported by China Scholarship Council and hosted by Dr. YangQuan Chen to study in CSOIS of ECE Department of Utah State University as an exchange PhD student(2007.8-2008.8).

Now, Yan Li is a Visiting Post-Doctoral Research Fellow hosted by CSOIS of ECE department of Utah State University.

My research interests include:

Fractional Calculus: Theory and Application, Generalized Fractional Calculus, Fractal: Theory and Application, Functional and Semi-Group Theory in Fractional Calculus, Special Functions, Signal and Image Processing, Smart Materials, CTRW (Continuous-Time Random Walks), Nonlinear Systems: Theory and Application, Control System, Discrete System, Optimization, Stability and Stabilization, MAS (Multi Agents System): Theory and Application, Adaptive Control: Theory and Application, Finance, Biology, etc.

FOC Literature Reading Group at USU

FOC Day at USU

FDA08

Fractional Calculus at Google Pages

Publications:

Journal Papers:

[1] Yan Li, YangQuan Chen and Igor Podlubny. “Mittag Leffler Stability of Fractional Order Nonlinear Dynamic Systems”. Accepted by Automatica.

[2] Yan Li and YangQuan Chen. “When is a Mittag-Leffler function a Nussbaum function?”. Automatica, Volume 45, Issue 8 (August), 2009.

[3] Yan Li, YangQuan Chen and Igor Podlubny. “Stability of Fractional Order Nonlinear Dynamic Systems: Lyapunov Direct Method and Generalized Mittag-Leffler Stability”. Special Issue on Fractional Calculus of Computers and Mathematics with Applications.

[4] Yan Li and Mingyu Xu. “Hysteresis loop and energy dissipation of viscoelastic solid models”. Mech Time-Depend Mater 11: 1-14, 2007.

[5] Yan Li and Mingyu Xu. “Hysteresis and precondition of viscoelastic solid models”. Mech Time-Depend Mater 10:113-123, 2006.

[6] Yongcan Cao, Wei Ren and Yan Li. “Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication”. Automatica, Volume 45, Issue 5 (May), 2009.

Provisionally Accepted Journal Papers:

[1] Yan Li and YangQuan Chen. “When Generalized Mittag Leffler function is Nussbaum function”. Journal of Mathematical Analysis and Applications.

[2] Yongcan Cao, Yan Li, Wei Ren and YangQuan Chen. “Distributed Coordination of Networked Fractional-Order Systems”. IEEE Trans. on Systems, Man, and Cybernetics-Part B.

Submitted Journal Papers:

[1] Yan Li and YangQuan Chen. “Fractional Order Universal Adaptive Stabilization”. Submitted to Automatica.

Conference Papers:

[1] Yan Li and YangQuan Chen. “Fractional Order Universal Adaptive Stabilizer for Fractional Order Systems”. In Proc. Of the ASME IDETC/CIE 2009, 7^th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC), Symposium on Classic and Fractional Dynamics on Continuous and Discontinuous Vector Fields. Aug. 30-Sept. 2, 2009, San Diego, CA, USA.

[2] Yan Li, YangQuan Chen and Hyo-Sung Ahn. “Iterative learning control for fractional order systems”. In Proc. Of the ICROS-SICE International Joint Conference 2009 August 18(Tue.)-21(Fri.), 2009 in Fukuoka International Congress Center, Fukuoka, Japan.

[3] Yan Li, YangQuan Chen, Igor Podlubny and Yongcan Cao. “Mittag Leffler Stability of Fractional Order Nonlinear Dynamic Systems”. In Proc. Of the FDA08 in Ankara, Turkey. Nov. 5-7, 2008.

[4] Yan Li, YangQuan Chen and Yongcan Cao. “Fractional Order Universal Adaptive Stabilization”. In Proc. Of the FDA08 in Ankara, Turkey. Nov. 5-7, 2008.

[5] Yongcan Cao, Yan Li, Wei Ren and YangQuan Chen. “Distributed Consensus Seeking for Fractional-Order Systems”. In Proc. Of the CDC08 Cancun, Mexico, December 9-11, 2008.

[6] Yongcan Cao, Wei Ren and Yan Li. “Distributed PD-like Discrete-time Consensus Algorithm with a Time-varying Reference State”. In Proc. Of the AIAA Guidance, Navigation and Control Conference and Exhibit, Honolulu, Hawaii. Paper no.: AIAA-2008-7174. Aug 18-21, 2008.

[7] Yan Li, Abdollah Shafieezadeh, Haiyang Chao and YangQuan Chen. “Fractional Order Linear Quadratic Regulator”. In Proc. Of the MESA08 in Beijing, China. October 12-15, 2008.

[8] Shayok Mukhopadhyay, Yan Li and YangQuan Chen. “Experimental Studies of a Fractional Order Universal Adaptive Stabilizer”. In Proc. Of the MESA08 in Beijing, China. October 12-15, 2008.

Submitted Conference Papers:

[1] Yan Li, Yiding Han and Huifang Dou. “Mittag-Leffler Expansion: A Generalized Fourier and Wavelet Series”. Submitted to the First Workshop in Hyperspectral Image and Signal Processing: Evolution in Remote Sensing. 26-28 August, 2009, Grenoble, France.