Work

Second-order optimality conditions for time-optimal control problems governed by semilinear parabolic equations

Year: 2026

Type: article

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 locally optimal solution to time-optimal control problems, we derive first- and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem and establish regularity of Lagrange multipliers.

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/cocv/2025075/pdf

Authors: H. Khanh, B.T. Kien, A. Rösch

Institutions: FPT University, Institute of Mathematics, Vietnam Academy of Science and Technology, University of Duisburg-Essen

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Alexander von Humboldt-Stiftung, Vietnam Academy of Science and Technology, Universität Duisburg-Essen

OpenAlex ID: W7110981868

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