Mean and entropy of b-spline PDF models : analysis and design

Zhou, Jinglin and Yue, Hong and Wang, Hong (2005) Mean and entropy of b-spline PDF models : analysis and design. IFAC Proceedings Volumes, 38 (1). pp. 93-98. ISSN 1474-6670 (https://doi.org/10.3182/20050703-6-CZ-1902.00368)

Abstract

For continuous probability density functions (PDFs) approximated by the B-spline basis functions, the relationships between the B-spline weights, the entropy and the mean have been analyzed in detail. It shows the different characteristics of the entropy with and without mean constraint. A minimum entropy controller subjected to mean constraint is developed by taking the performance function as a Lyapunov function and ensuring the negativeness of its first-order derivative. Simulation examples are included to validate the analysis results and evaluate the closed-loop control performance.

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• Item metadata

  Item type:	Article
  ID code:	38055
  Dates:	Date Event 2005 Published
  Subjects:	Technology > Electrical engineering. Electronics Nuclear engineering
  Department:	Faculty of Engineering > Electronic and Electrical Engineering
  Depositing user:	Pure Administrator
  Date deposited:	01 Mar 2012 12:52
  Last modified:	09 Apr 2024 03:07
  URI:	https://strathprints.strath.ac.uk/id/eprint/38055