• DocumentCode
    3576028
  • Title

    The computation of common Lyapunov functions via Nonsmooth Newton method

  • Author

    Zheng Chen

  • Author_Institution
    Sch. of Sci., Ningbo Univ. of Technol., Ningbo, China
  • fYear
    2014
  • Firstpage
    1424
  • Lastpage
    1426
  • Abstract
    This paper studies common quadratic Lyapunov functions for a finite number of linear time invariant systems. We present Newton method which can find common quadratic Lyapunov functions for a number of stable linear systems, and a numerical example is given to illustrate our result.
  • Keywords
    Lyapunov methods; Newton method; linear systems; stability; common quadratic Lyapunov function; linear time invariant systems; nonsmooth Newton method; stable linear systems; Linear systems; Lyapunov methods; Newton method; Switched systems; Switches; Symmetric matrices; Common quadratic Lyapunov function; Matrix functions; Nonsmooth Newton method; switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Control (ICMC), 2014 International Conference on
  • Print_ISBN
    978-1-4799-2537-7
  • Type

    conf

  • DOI
    10.1109/ICMC.2014.7231789
  • Filename
    7231789
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3576028