SUN Hong-Guang1, SHENG Hu2, CHEN Yang-Quan3, CHEN Wen1**, YU Zhong-Bo4
1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098 2School of Electronic and Information Engineering, Dalian Jiaotong University, Dalian 116028 3Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, 5200 North Lake Road, Merced, CA 95343, USA 4State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098
Abstract：Motivated by the experimental result of an electronic circuit element "fractor", we introduce the concept of a dynamic-order fractional dynamic system, in which the differential-order of a fractional dynamic system is determined by the output signal of another dynamic system. The concept offers an explanation for the physical mechanism of variable-order fractional dynamic systems and multi-system interaction. The properties and potential applications of dynamic-order fractional dynamic systems are further explored by analyzing anomalous relaxation and diffusion processes.
2013, Vol. 30 
