Practical stability of discrete event systems using Lyapunov methods

This paper deals with the practical stability problem of discrete event systems using Lyapunov methods. A new analysis methodology based on Lyapunov functions and comparison principles is presented. This approach allows to get immediate information about the system's stability in a very easy and convenient way. By proving practical stability one is allowed to preassign the bound on the system's dynamics performance. An example where the methodology presented is applied is given.