A tale of two discontinuities

  • K. David Young
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 247)


A class of systems which has two discontinuous functions on the right hand side of the governing differential equation is being examined in this paper. These systems are motivated by mechanical systems in which Columb friction is a major contributing factor to the limitations on repeatibility in precision positioning applications. We shall provide analytical results showing the existence of a new class of dynamic behavior which may be described as an extension of sliding mode for continuous time dynamic systems.


Sliding Mode Phase Trajectory Uncertain Nonlinear System System Trajectory Friction Compensation 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • K. David Young
    • 1
  1. 1.YKK SystemsMountain ViewUSA

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