A criterion for nonexistence of limit cycles for differential inclusions

Henk NIJMEIJER, Jacobus Rooda

A condition which ensures the absence of periodic orbits for
nonsmooth dynamical systems is presented. A connection to methods
for estimating the Hausdorff dimension is emphasized. For a class
of hybrid systems described by a linear system with relay feedback
the conditions are presented in the form of linear matrix
inequalities.

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