Remarks on Hybrid Systems

  • Walter Littman
  • Bo Liu
Part of the Applied Optimization book series (APOP, volume 15)


In the middle 1980’s, the space shuttle program gave rise to an array of interesting control problems. Among the prototype models considered by NASA was the “Spacecraft Control Laboratory Experiment” (SCOLE) [2]. In this model, a large rigid body, the space shuttle, is joined to a small rigid body, the antenna, via a long flexible mast. The motions of the two rigid bodies are governed by ordinary differential equations, while the motion of the mast is governed by the equations of a vibrating beam with appropriate boundary conditions at the two ends originating from forces and torques exerted by the attached rigid bodies.


Rigid Body Hybrid System Energy Decay Infinitesimal Generator Polygonal Domain 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Walter Littman
    • 1
  • Bo Liu
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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