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Volume 2 Issue 4
Oct.  2015

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2015  >  2(4): 353-357
Fudong Ge, Yangquan Chen and Chunhai Kou, "Cyber-physical Systems as General Distributed Parameter Systems: Three Types of Fractional Order Models and Emerging Research Opportunities," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 353-357, 2015.
Citation: Fudong Ge, Yangquan Chen and Chunhai Kou, "Cyber-physical Systems as General Distributed Parameter Systems: Three Types of Fractional Order Models and Emerging Research Opportunities," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 353-357, 2015.
shu

Cyber-physical Systems as General Distributed Parameter Systems: Three Types of Fractional Order Models and Emerging Research Opportunities

  • 1. the College of Information Science and Technology, Donghua University, Shanghai 201620, China;

  • 2. the Mechatronics, Embedded Systems and Automation Lab, University of California, Merced, CA 95343, USA;

  • 3. the Department of Applied Mathematics, Donghua University, Shanghai 201620, China

Funds:

This work was supported by Chinese Universities Scientific Fund (CUSF-DHD-2014061) and Natural Science Foundation of Shanghai (15ZR1400800).

    Abstract
  • Cyber-physical systems (CPSs) are man-made complex systems coupled with natural processes that, as a whole, should be described by distributed parameter systems (DPSs) in general forms. This paper presents three such general models for generalized DPSs that can be used to characterize complex CPSs. These three different types of fractional operators based DPS models are: fractional Laplacian operator, fractional power of operator or fractional derivative. This research investigation is motivated by many fractional order models describing natural, physical, and anomalous phenomena, such as sub-diffusion process or super-diffusion process. The relationships among these three different operators are explored and explained. Several potential future research opportunities are then articulated followed by some conclusions and remarks.

     

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