Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations

2024/11/12 by H. V. Khanh, Khanh, Huynh, B. T. Kien +3 · 1 citation
Computer Science · Engineering · #Contact Mechanics and Variational Inequalities #Advanced Numerical Methods in Computational Mathematics #Soil, Finite Element Methods

paper · pdf · doi:10.48550/arxiv.2411.07723

Abstract

A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the so-called locally optimal solution to time-optimal control problems, we establish first and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem.

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• On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints

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