Analysis and Synthesis of Positive Systems Under 1 and L1 Performance (Springer Theses)

by Xiaoming Chen

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This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems.

It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a "hot topic" in the field of control.


  • ISBN13 9789811095665
  • Publish Date 22 April 2018 (first published 9 August 2016)
  • Publish Status Active
  • Publish Country SG
  • Imprint Springer Verlag, Singapore
  • Edition Softcover reprint of the original 1st ed. 2017
  • Format Paperback
  • Pages 116
  • Language English