Abstract.In this paper the stability concept associated with a good dynamical performance criteria is questioned. It is shown that ``to become unstable can be a desirable property''. Moreover, the stabilization intention of bringing states close to the equilibrium results not to be a good idea.

Received: May 7, 2004

AMS Subject Classification: 93D30, 93A30, 93D05, 76E99, 39A10, 39A11, 92D10, 92D15

Key Words and Phrases: stability, regulation, performance achievement, place-transitions Petri nets, Lyapunov methods

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 1