• DocumentCode
    358623
  • Title

    Exact computation of traces and H2 norms for a class of infinite dimensional problems

  • Author

    Bamieh, Bassam ; Dahleh, Mohammed

  • Author_Institution
    Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    4
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2285
  • Abstract
    We derive a formula for the trace of a class of differential operators defined by forced two point boundary value problems. The formula involves finite dimensional computations with matrices whose dimension is no larger than the order of the differential operator. We thus achieve an exact reduction of an infinite dimensional problem to a finite dimensional one. We relate this trace calculation to computation of the H2 norm for certain infinite dimensional systems. An example from hydrodynamic stability is included to illustrate the method
  • Keywords
    boundary-value problems; matrix algebra; multidimensional systems; state-space methods; H2 norms; differential operators; finite dimensional computations; finite dimensional problems; forced two point boundary value problems; infinite dimensional problems; traces; Boundary conditions; Boundary value problems; Control theory; Differential equations; Eigenvalues and eigenfunctions; Engineering profession; Hydrodynamics; Kernel; Stability; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2000. Proceedings of the 2000
  • Conference_Location
    Chicago, IL
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-5519-9
  • Type

    conf

  • DOI
    10.1109/ACC.2000.878587
  • Filename
    878587
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=358623