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Mechatronics, Embedded Systems and Automation

Fractional Calculus and Source Seeking (FCSS)

Fractional Calculus and Source Seeking (FCSS) SIG

(Special Interest Group: Search the Science of Search)

This webpage was motivated by FCCD page. Source seeking is a complex problem. Human operator is a complex system, too. In practice, source seeking needs combined intelligence from swarm of mobile sniffers AND human operators. Complexity needs better understanding  through using fractional calculus, as taught in this book. So, it is quite straight forward to us that FCSS makes good sense. We examine this emerging new topic for a few years later to see if this still makes sense. Both deterministic and stochastic settings are considered.


  • YangQuan Chen, Professor, supervisor, PI
  • Derek Hollenbeck, Ph.D. student, MESA Lab Co-Manager
  • Yuquan Chen, Ph.D. candidate of USTC.
  • Lihong Guo, Ph.D. candidate of Jilin University (09/2018-09/2020)
  • Panpan Gu, Ph.D. candidate of South China Univ of Tech (09/2018-09/2020)
  • Jiamin Wei, Ph.D. candidate of BJTU. (09/2018-09/2019)

Former members

  • Bo Zhuang, Ph.D. candidate,  (April to Sept. 2016)
  • Shuo Zhang, Ph.D. candidate, (Dec. 2015 to Dec. 2016)
  • Yongge Yang, Ph.D. candidate, (August 2016 to August 2018)
  • Guojian Ren, Ph.D. candidate of BJTU.


  • 10/04/2018. Congrats for this related paper published
  • 08/27/2018. New members added: Jiamin, Lihong and Panpan - welcome!
  • 11/8/2017. Welcome two new members, Mr. Yuquan Chen (FCSS page editor) and Mr. Guojian Ren.
  • 4/18/2017. Derek Hollenbeck is on board.
  • 4/18/17. FO-DiffMAS-2D code shared wth Derek Hollenbeck and Yongge Yang.
  • 05/31/2016. Dr. Chen gave a plenary talk at ICCC2016 on "Better Understanding Complexities via Fractional Calculus".
  • Source seeking literature review


  1. 04/05/2016. Webpage started.
  2. 8/31/2016. Yongge Yang arrived UC Merced staying for two years.
  3. 9/7/2017. Yuquan Chen arrived UC Merced staying for two years.
  4. 9/15/2017. Guojian Ren arrived UC Merced staying for one year.
  5. Extremum-seeking scheme is a powerful adaptive technique. We plan to introduce a novel extremum-seeking scheme for the optimization of nonlinear plants using fractional order calculus and stochastic techniques.