A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems

DOI10.1007/s10589-009-9275-0zbMath1226.49021OpenAlexW2068811411MaRDI QIDQ538312

Matthias Gerdts, Martin Kunkel

Publication date: 25 May 2011

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-009-9275-0

zbMATH Keywords

optimal controlglobal convergencedifferential-algebraic equationssemi-smooth Newton methodcontrol-state constraints

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ A global convergent semi-smooth Newton method for semi-linear elliptic optimal control problem ⋮ A symplectic method for trajectory planning of general tractor-trailer systems ⋮ On lifting operators and regularity of nonsmooth Newton methods for optimal control problems of differential algebraic equations ⋮ A Differential-Algebraic Riccati Equation for Applications in Flow Control ⋮ Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints

Uses Software

• PARDISO
• RODAS

Cites Work

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