• DocumentCode
    300588
  • Title

    On the existence and uniqueness of solutions for nonsmooth systems

  • Author

    Venkatasubramanian, Vaithianathan ; Mantri, Ravi ; Saberi, Ali

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
  • Volume
    3
  • fYear
    1995
  • fDate
    21-23 Jun 1995
  • Firstpage
    1811
  • Abstract
    This paper develops weaker conditions for guaranteeing the existence/uniqueness properties of solutions to ordinary differential equations by exploiting a novel notion of solutions called “order-r solutions” that was proposed recently. The conditions could form the basis for designing nonsmooth controls involving non-integer exponents
  • Keywords
    control system analysis; control systems; differential equations; initial value problems; Lipschitz condition; initial value problem; noninteger exponent; nonsmooth control; nonsmooth systems; ordinary differential equations; uniqueness; Computer science; Differential equations; Neural networks; Power system modeling; Sufficient conditions; System identification;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, Proceedings of the 1995
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    0-7803-2445-5
  • Type

    conf

  • DOI
    10.1109/ACC.1995.531197
  • Filename
    531197