On the Right Solutions of a Class of Discontinuous Systems. I

  • Authors:

  • I. A. Finogenko

  • Affiliations:

  • Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2001

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Abstract

A method for specifying the differential equations with a discontinuous right-hand side was proposed. It allows one to describe all kinds of the right motions of some classes of controllable discontinuous systems. The method is implicit and relies on the necessary existence conditions for the right solutions of equations in the contingencies obtained from the original system.