Adjoint estimation from a direct multiple shooting method

DOI10.1023/A:1022650928786zbMath0891.49016OpenAlexW106220348MaRDI QIDQ1367802

Bernhard Rupp

Publication date: 9 July 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022650928786

zbMATH Keywords

direct methodsparametric optimal controloptimal control problemsadjoint variablesindirect methodsmultiple shooting methods

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

• Direct and indirect methods for trajectory optimization
• Control parametrization: a unified approach to optimal control problems with general constraints
• Additional necessary conditions for optimal control with state-variable inequality constraints
• New necessary conditions of optimality for control problems with state- variable inequality constraints
• Periodic control for minimum-fuel aircraft trajectories
• Discrete approximations to optimal trajectories using direct transcription and nonlinear programming
• Finite difference scheme for automatic costate calculation
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