• DocumentCode
    3592442
  • Title

    Characterization of the Lp incremental gain for nonlinear systems

  • Author

    Romanchuk, B.G. ; James, M.R.

  • Author_Institution
    Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
  • Volume
    3
  • fYear
    1996
  • Firstpage
    3270
  • Abstract
    The incremental gain of a system operator is a Lipschitz constant for that operator with respect to an Lp space. In this paper we characterise the incremental gain in terms of a partial differential inequality similar to those arising in the Hill-Moylan-Willems theory of dissipative systems. Computational methods for estimating the incremental gain are discussed, including finite difference schemes and matrix inequalities. An example is presented
  • Keywords
    control system analysis; function approximation; matrix algebra; nonlinear systems; partial differential equations; Lp incremental gain; Lipschitz constant; finite difference; matrix inequality; nonlinear systems; partial differential inequality; stability; viscosity solution; Adaptive systems; Australia; Finite difference methods; Information technology; Linear matrix inequalities; Linear systems; Nonlinear systems; Robustness; Stability; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.573646
  • Filename
    573646
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3592442