Abstract

This paper deals with a particular class of manufacturing lines governed by some typical rules so that they balance themselves. Such lines are also called "bucket brigades". The self-balancing means the autonomous functioning at a steady production rate, that is called stationary behavior. Their state trajectories are piecewise continuous in between occurrences of certain discrete events. That is why such manufacturing lines may be modeled as hybrid dynamic systems with autonomous switching and autonomous impulses (jumps)- The hybrid model allows that a stability analysis be approached. A sufficient condition to reach the stationary periodical behavior is proved.

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