Mean and entropy of B-spline PDF models: Analysis and design

Jinglin Zhou, Hong Yue, Hong Wang

    Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

    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. Copyright © 2005 IFAC.
    Original languageEnglish
    Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)|IFAC Proc. Vol. (IFAC-PapersOnline)
    Pages93-98
    Number of pages5
    Volume16
    Publication statusPublished - 2005
    Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague
    Duration: 1 Jul 2005 → …

    Conference

    Conference16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
    CityPrague
    Period1/07/05 → …

    Keywords

    • B-spline neural network
    • Dynamic stochastic systems
    • Mean constraint
    • Minimum entropy
    • Probability density function (PDF)

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