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arXiv · 1704.06341

Global stability of almost periodic solutions of monotone sweeping processes and their response to non-monotone perturbations

Mikhail Kamenskii·Oleg Makarenkov·Lakmi Niwanthi·Paul Raynaud de Fitte
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Abstract

We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that any sweeping processes with almost periodic monotone right-hand-sides admits a globally exponentially stable almost periodic solution. And then we describe the extent to which such a globally stable solution persists under non-monotone perturbations.

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Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi, Paul Raynaud de Fitte. 2017-04-20. Global stability of almost periodic solutions of monotone sweeping processes and their response to non-monotone perturbations. https://arxiv.org/abs/1704.06341

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