Title :
Existence and stability of limit cycles in hybrid dynamical systems with constant derivatives. 2. Applications
Author :
Matveev, Alexey S. ; Savkin, Andrey V.
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Abstract :
In this part of the paper, we introduce examples to illustrate the theory developed in part I (ibid. (1999)). These examples can be interpreted as mathematical models for flexible manufacturing systems and queueing networks. Using the results of part I, we prove that the 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
Keywords :
automata theory; flexible manufacturing systems; limit cycles; production control; stability; automata theory; derivatives; flexible manufacturing systems; hybrid dynamical systems; limit cycles; queueing networks; region of attraction; stability; Australia Council; Automata; Automatic control; Control systems; Flexible manufacturing systems; Limit-cycles; Mathematical model; Network servers; Stability; Switches;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833233
