The Concept of Stationary and Moving Boundaries Modelled as Accelerating or Decelerating Planes in the Understanding of Sweeping Processes Employed for Online Focusing in Capillary Zone Electrophoresis and Electrokinetic Chromatography
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DOI: 10.1007/s10337-017-3261-y
Abstract: Sweeping is an important online focusing method in capillary zone electrophoresis and electrokinetic chromatography, which is employed in numerous methods for analyte enrichment and improvement of detection and quantitation limits. This review intends to summarize… read more here.
Keywords: decelerating planes; sweeping processes; zone electrophoresis; online focusing ... See more keywords
Optimal Control Involving Sweeping Processes
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DOI: 10.1007/s11228-018-0501-8
Abstract: We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems we prove existence of solution… read more here.
Keywords: sweeping processes; control involving; optimal control; involving sweeping ... See more keywords
Lyapunov pairs for perturbed sweeping processes
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DOI: 10.1007/s11590-018-1231-4
Abstract: We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed sweeping processes.… read more here.
Keywords: sweeping processes; lyapunov pairs; perturbed sweeping; pairs perturbed ... See more keywords
Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations
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DOI: 10.1016/j.nahs.2018.05.007
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… read more here.
Keywords: non monotone; sweeping processes; monotone perturbations; almost periodic ... See more keywords