Binary optimal control by trust-region steepest descent

DOI10.1007/s10107-021-01733-zOpenAlexW4206132519MaRDI QIDQ2689817

Sebastian Sager, Mirko Hahn, Sven Leyffer

Publication date: 14 March 2023

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-021-01733-z

zbMATH Keywords

topological gradienttrust region methodsbinary optimal control

Mathematics Subject Classification ID

Integer programming (90C10) Nonlinear programming (90C30) Numerical methods based on necessary conditions (49M05) Programming in abstract spaces (90C48)

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Uses Software

• SUNDIALS
• DOLFIN
• FEniCS

Cites Work

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• SUNDIALS
• Connections between topological sensitivity analysis and material interpolation schemes in topology optimization
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• Combinatorial integral approximation
• Automated solution of differential equations by the finite element method. The FEniCS book
• The shape and topological optimizations' connection
• Topological derivatives in shape optimization
• Local refinement of simplicial grids based on the skeleton
• Mixed-integer optimal control under minimum dwell time constraints
• Efficient upper and lower bounds for global mixed-integer optimal control
• Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
• DOLFIN
• MultiDimensional Sum-Up Rounding for Elliptic Control Systems
• Optimization with PDE Constraints
• Mixed-integer nonlinear optimization
• Chapter 9: Mixed-Integer DAE Optimal Control Problems: Necessary Conditions and Bounds
• Combinatorial optimization. Theory and algorithms.

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