• DocumentCode
    825851
  • Title

    Smooth representation of systems with differentiated inputs

  • Author

    Freedman, M.I. ; Willems, Jan C.

  • Author_Institution
    Boston University, Boston, MA, USA
  • Volume
    23
  • Issue
    1
  • fYear
    1978
  • fDate
    2/1/1978 12:00:00 AM
  • Firstpage
    16
  • Lastpage
    21
  • Abstract
    Conditions are derived under which the nonlinear input-output system \\dot{y}=f(y,u,\\dot{u}) can be represented in the form \\dot{z} =g(z,u) ; y= h(z,u) . Various implications of the results to stochastic differential equations are considered.
  • Keywords
    Nonlinear systems, continuous-time; Nonlinear systems, stochastic continuous-time; Differential equations; Linear systems; Markov processes; Mathematics; Nonlinear systems; Polynomials; Stability; Stochastic processes; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101693
  • Filename
    1101693
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=825851