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A Semismooth Newton Method for Regularized L<sup>q</sup>-quasinorm Sparse Optimal Control Problems

Abstract:

A semismooth Newton method (refered as DC–SSN) is proposed for the numerical solution of a class of nonconvex optimal control problems governed by linear elliptic partial differential equations. The nonconvex term in the cost functional arises from a Huber-type local regularization of the Lq-quasinorm (q ∈ (0, 1)), therefore it promotes sparsity on the solution. The DC–SSN method solves the optimality system of the regularized problem resulting from the application of difference-of-convex functions programming tools.

Año de publicación:

2021

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Conference Object

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Control óptimo
    • Optimización matemática
    • Optimización matemática

    Áreas temáticas:

    • Análisis
    • Análisis numérico
    • Otras ramas de la ingeniería

    Contribuidores:

    Pedro MerinoPedro Merino