Differential continuation for regular optimal control problems
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Publication:2885469
DOI10.1080/10556788.2011.593625zbMath1248.49025OpenAlexW2031601917MaRDI QIDQ2885469
J. Gergaud, Olivier Cots, Jean-Baptiste Caillau
Publication date: 23 May 2012
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2011.593625
optimal controlconjugate pointsautomatic differentiationsecond-order conditionsdifferential homotopy
Optimality conditions for problems involving ordinary differential equations (49K15) Software, source code, etc. for problems pertaining to calculus of variations and optimal control (49-04)
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Uses Software
Cites Work
- 3D geosynchronous transfer of a satellite: Continuation on the thrust
- Existence and multiple solutions of the minimum-fuel orbit transfer problem
- Sensitivity analysis for parametric control problems with control-state constraints
- Energy minimization in two-level dissipative quantum control: the integrable case
- The smooth continuation method in optimal control with an application to quantum systems
- Solving Ordinary Differential Equations I
- Homotopy method for minimum consumption orbit transfer problem
- Second order optimality conditions in the smooth case and applications in optimal control
- The solution of some difficult problems in low-thrust interplanetary trajectory optimization
- An Approach to Homotopy and Degree Theory
- Algorithm 777: HOMPACK90
- Introduction to Numerical Continuation Methods
- Smooth Regularization of Bang-Bang Optimal Control Problems
- The energy minimization problem for two-level dissipative quantum systems
- New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation
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