• DocumentCode
    3591822
  • Title

    Stability of logic-differential systems

  • Author

    Skafidas, E. ; Evans, R.J.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
  • Volume
    4
  • fYear
    1998
  • Firstpage
    3711
  • Abstract
    There are many practical control problems where the control action is implemented by a hybrid controller consisting of a combination of numerically valued functions and logic components. The interaction between a plant represented by a differential equation and a hybrid controller is currently not well understood. We present stability results for classes of hybrid control laws where the logic elements are expressed in propositional logic. We present necessary and sufficient conditions for quadratic stability of such systems
  • Keywords
    continuous time systems; differential equations; discrete time systems; formal logic; stability; differential equation; hybrid control; logic-differential systems; necessary condition; propositional logic; stability; sufficient condition; Automata; Control systems; Decision making; Difference equations; Differential equations; Programmable control; Programmable logic arrays; Programmable logic devices; Stability; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.761786
  • Filename
    761786