Optimal Control with Sweeping Processes: Numerical Method

MdR Pinho (), M. M. A. Ferreira () and G. Smirnov ()
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MdR Pinho: Faculdade de Engenharia da Universidade do Porto, DEEC, SYSTEC
M. M. A. Ferreira: Faculdade de Engenharia da Universidade do Porto, DEEC, SYSTEC
G. Smirnov: Universidade do Minho

Journal of Optimization Theory and Applications, 2020, vol. 185, issue 3, No 9, 845-858

Abstract: Abstract This paper focuses on numerical methods for a class of optimal control problems involving sweeping processes. We consider a problem, where the sweeping set is constant and coincides with the 0 level set of a $$C^2$$C2 convex function. For such problems, we propose a numerical method based on a sequence of approximating standard optimal control problems. We illustrate our method treating numerically an example.

Keywords: Sweeping process; Optimal control; Numerical methods; Approximations; 34A60; 49K21; 49M25 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-020-01670-5

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