On Lifting Operators and Regularity of Nonsmooth Newton Methods for Optimal Control Problems of Differential Algebraic Equations

Jinhai Chen () and Herschel Rabitz ()
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Jinhai Chen: Boston University
Herschel Rabitz: Princeton University

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 2, No 9, 518-535

Abstract: Abstract This paper focuses on nonsmooth Newton methods of optimal control problems governed by mixed control–state constraints with differential algebraic equations. In contrast to previous results, we analyze lifting operators involved in nonsmooth Newton methods and establish corresponding convergence results. We also give sufficient conditions for regularity of generalized derivatives of systems of nonsmooth operator equations associated with optimal control problems.

Keywords: Optimal control of DAEs; Nonsmooth Newton methods; Lifting operators; Regularity conditions; Convergence; 49J15; 49J52; 49M15 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-018-1364-8

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