Fractional calculus:.- definitions, history, basic properties.- Fractional order dynamic systems.- Fractional noises.- Signatures of complex systems and its fractional calculus connection.- Power law.- Long range dependence.- Long memory.- Long range interaction.- Heavytailedness.- Complex signal analysis using fractional calculus.- Complex system modeling using fractional calculus.- Complex system control using fractional calculus.
YangQuan Chen received his B.S. in industrial automation from the University of Science and Technology of Beijing, China, in 1985, his M.S. in automatic control from the Beijing Institute of Technology, in 1989, and his Ph.D. degree in advanced control and instrumentation from the Nanyang Technological University, Singapore, in 1998. He was a member of the control systems/mechatronics faculty of ECE Dept. at Utah State University, Logan, and the Director of the Center for Self-Organizing and Intelligent Systems (CSOIS), before joining the University of California, Merced in Fall 2012. Prof. Chen's research interests include mechatronics, control systems, unmanned aircraft systems, cyber-physical systems, and applied fractional calculus.