## B.T. Kien, X. Qin, C.F. Wen, $L^\infty$-stability for a class of parametric optimal control problems with mixed pointwise constraints

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DOI: 10.23952/jano.2.2020.3.03
Volume 2, Issue 3, 31 December 2020, Pages 297-320

Abstract. This paper studies the local stability of a parametric optimal control problem with mixed pointwise constraints. We show that if the unperturbed problem satisfies the strictly second-order optimality conditions, then the solution map is upper Hölder continuous in $L^\infty$-norm of control variable.

B.T. Kien, X. Qin, C.F. Wen, $L^\infty$-stability for a class of parametric optimal control problems with mixed pointwise constraints, J. Appl. Numer. Optim. 2 (2020), 297-320.