Existence and stability of limit cycles in hybrid dynamical systems with constant derivatives part2. applications

摘要

In this part of the paper, we introduce examples to illustrate the theory developed in [1]. These examples can be interpreted as mathematical models for flexible manufacturing systems and queueing networks. Using the results of [1], we prove thatthe systems considered in the examples have a finite number of limit cycles attracting all the trajectories. We determine this number and the region of attraction for each limit cycle.