From Floquet exponents to control of chaos in piecewise linear systems

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 suppressed by stabilization of naturally unstable periodic orbits (UPO). In particular, the theory can be applied to the suppression of chaos in dc-dc converters.

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