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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… Click to show full 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.
Keywords:
non monotone;
sweeping processes;
monotone perturbations;
almost periodic;
global stability
Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2018
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Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!