• DocumentCode
    823367
  • Title

    On a certain class of nonlinear control systems

  • Author

    Hahn, H.

  • Author_Institution
    Institut für Informationsverarbeitung der Universität Tübingen, Tübingen, Köstlinstrasse, West Germany
  • Volume
    22
  • Issue
    1
  • fYear
    1977
  • fDate
    2/1/1977 12:00:00 AM
  • Firstpage
    119
  • Lastpage
    121
  • Abstract
    Nonlinear systems of the following type (I): \\dot{x}_{i} = {{n \\atop \\sum} \\atop j=1} (a_{ij} + k\\cdot b_{ij})\\cdot x_{j} + {{p \\atop \\sum} \\atop j=1} d_{ij}\\cdot u_{j} + {{n \\atop \\sum} \\atop j,k=1} n_{ijk}\\cdot x_{j}\\cdot x_{k} + {{n \\atop \\sum} \\atop j,k,l=1} m_{ijkl}\\cdot x_{j}\\cdot x_{k}\\cdot x_{l} \\hbox{ } (k \\in R^{1},k feedback factor, i = 1,...,n ) have recently been investigated from the point of view of practical stability [1]. This note shows how to model type (I) systems as feedback systems consisting of "general quadratic and cubic" plants and controllers. Certain nonanalytic nonlinear systems can approximately be treated within the framework of this model.
  • Keywords
    Bilinear systems, continuous-time; Multilinear systems, continuous-time; Nonlinear systems, continuous-time; Control systems; Damping; Design methodology; Feedback; Linear systems; Nonlinear control systems; Relays; Satellites; Spinning; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101432
  • Filename
    1101432
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=823367