Abstract

We show that, for piecewise linear systems, Floquet exponents of periodic orbits can be analytically computed. Impulsive differential equations (IDE) play a key role in the process. The same techniques used for Floquet exponents can be applied to the computation of the range of parameters such that chaos can be supressed by stabilization of naturally unstable periodic orbits (UPO). In particular, the theory can be applied to the supression of chaos in de-de converters.