• DocumentCode
    3693428
  • Title

    Calculating regions of stability with evolutionary algorithms using R-functions

  • Author

    Rick Voßwinkel;Hendrik Richter

  • Author_Institution
    Department of Electrical Engineering and Information Technology, HTWK Leipzig University of Applied Sciences, Germany
  • fYear
    2015
  • fDate
    7/1/2015 12:00:00 AM
  • Firstpage
    2372
  • Lastpage
    2377
  • Abstract
    In this paper an algorithm is introduced which calculates the region of stability (ROS) of a nonlinear dynamical system. The search for a maximum ROS is based on Lyapunov stability theory, formulated as a constraint optimisation problem. This multimodal problem is solved by a cascaded evolutionary algorithm. R-functions are used to enhance the estimation of contour and size of the ROS.
  • Keywords
    "Lyapunov methods","Evolutionary computation","Optimization","Estimation","Polynomials","Sociology","Statistics"
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2015 European
  • Type

    conf

  • DOI
    10.1109/ECC.2015.7330893
  • Filename
    7330893
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3693428