Comparison theory for general motions of dynamical systems with applications to discrete event systems

A comparison theory is developed for the qualitative analysis of general dynamical systems, making use of stability preserving mapping. The qualitative aspects addressed pertain to Lyapunov and Lagrange stability. The theory is general enough to include as special cases most of the existing deterministic results for dynamical systems described on finite- and infinite-dimensional spaces. In addition, the results are applicable to contemporary systems, such as discrete-event systems.<<ETX>>