Periodic orbits in planar linear systems with input saturation

Abstract : We present sufficient conditions for the existence of periodic orbits of saturating planar systems. We characterize inner and outer sets bounding the periodic orbits. A method to build these bounds, based on the solution to a convex optimization problem, is proposed and illustrated with numerical examples.
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Thomas Lathuiliere, Giorgio Valmorbida, Elena Panteley. Periodic orbits in planar linear systems with input saturation. IEEE Control Systems Letters, IEEE, 2018, 2 (3), pp.435-440. 〈10.1109/LCSYS.2018.2841807〉. 〈hal-01811047〉

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