Title :
A vector Lyapunov function approach for the stabilization of discrete event systems
Author_Institution :
Centro de Investigacion en Computo, Inst. Politecnico Nacional, Mexico City, Mexico
Abstract :
This paper presents the stabilization problem of discrete event systems modeled by Petri nets using the vector Lyapunov theory. After recalling some known stability information about discrete event systems modeled by Petri nets, the stabilization problem is addressed. A new promising methodology based on vector Lyapunov functions shows that it is possible to restrict the systems state space in such a way that boundedness is guaranteed. Moreover, the technique described can be used for regulation
Keywords :
Lyapunov methods; Petri nets; differential equations; discrete event systems; stability; state-space methods; Petri nets; boundedness; differential equations; discrete event systems; stability; stabilization; state space; vector Lyapunov functions; Computer aided manufacturing; Computer networks; Difference equations; Discrete event systems; Lyapunov method; Manufacturing systems; Petri nets; Stability; State-space methods; Telecommunication traffic;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876985