Convergence of the gradient projection method in optimal control problems

DOI10.1007/s10598-007-0015-yzbMath1120.65081OpenAlexW2370743906WikidataQ126266262 ScholiaQ126266262MaRDI QIDQ2644389

Mikhail Sergeevich Nikolskii

Publication date: 31 August 2007

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-007-0015-y

zbMATH Keywords

optimal controlgradient projection methodconvergence in \(L_1\) norm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Related Items (10)

Convergence of an extragradient-type method for variational inequality with applications to optimal control problems ⋮ On the convergence of gradient projection methods for non-convex optimal control problems with affine system ⋮ A relaxed forward-backward-forward algorithm with alternated inertial step: weak and linear convergence ⋮ Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls ⋮ On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions ⋮ Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces ⋮ Optimal Control of a Class of Size-Structured Systems ⋮ A pointwise projected gradient method applied to an optimal control problem ⋮ Strong convergence results for convex minimization and monotone variational inclusion problems in Hilbert space ⋮ Inertial method for split null point problems with pseudomonotone variational inequality problems

Cites Work

• Strong convergence results related to strict convexity
• Strong convergence of selections implied by weak
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