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)

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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.

ORCID iDs

Zhou, Jinglin, Yue, Hong ORCID logoORCID: https://orcid.org/0000-0003-2072-6223 and Wang, Hong;
CORE (COnnecting REpositories)