• DocumentCode
    1157685
  • Title

    Time-varying Riccati differential equations with known analytic solutions

  • Author

    Choi, Chiu H.

  • Author_Institution
    Dept. of Electr. Eng., South Alabama Univ., Mobile, AL, USA
  • Volume
    37
  • Issue
    5
  • fYear
    1992
  • fDate
    5/1/1992 12:00:00 AM
  • Firstpage
    642
  • Lastpage
    645
  • Abstract
    This note presents several examples of large-scale time-varying stiff as well as nonstiff Riccati differential equations (RDEs) with known analytic solutions. These examples are useful for testing the accuracy and efficiency of algorithms for solving such equations. Analytic expressions of the eigenvalues of the solutions of the RDEs are also found. Eigenvectors of some of the solutions are given
  • Keywords
    differential equations; eigenvalues and eigenfunctions; analytic solutions; eigenvalues; eigenvectors; large-scale stiff time-varying equations; nonstiff Riccati differential equations; Actuators; Control systems; Differential equations; Eigenvalues and eigenfunctions; Mathematics; Nonlinear control systems; Partial differential equations; Riccati equations; Stability; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.135505
  • Filename
    135505
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1157685