The role of symplectic integrators in optimal control
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2008/07/22
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Indian UGC (journal)
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Refrences16
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Citations22
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Monique Chyba
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Ernst Hairer
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Gilles Vilmart
Abstract
Cite
Chyba, Monique, et al. “The Role of Symplectic Integrators in Optimal Control”. Optimal Control Applications and Methods, vol. 30, no. 4, 2008, pp. 367-82, https://doi.org/10.1002/oca.855.
Chyba, M., Hairer, E., & Vilmart, G. (2008). The role of symplectic integrators in optimal control. Optimal Control Applications and Methods, 30(4), 367-382. https://doi.org/10.1002/oca.855
Chyba, Monique, Ernst Hairer, and Gilles Vilmart. “The Role of Symplectic Integrators in Optimal Control”. Optimal Control Applications and Methods 30, no. 4 (2008): 367-82. https://doi.org/10.1002/oca.855.
Chyba M, Hairer E, Vilmart G. The role of symplectic integrators in optimal control. Optimal Control Applications and Methods. 2008;30(4):367-82.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The transcendence needed to compute the sphere and wave front in Martinet SR‐geometry | 2001 | |||
| Structure‐preserving Algorithms for Ordinary Differential Equations | 2006 | |||
| Simulating Hamiltonian Dynamics | 2004 | |||
| 10.1109/CDC.2004.1430309 | ||||
| 10.1090/pspum/064/1654588 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Simpson’s Variational Integrator for Systems with Quadratic Lagrangians | Axioms |
| 2024 | |
| Symplectic discrete-time energy-based control for nonlinear mechanical systems | Automatica |
| 8 | 2021 |
| Symplectic Runge–Kutta discretization of a regularized forward–backward sweep iteration for optimal control problems | Journal of Computational and Applied Mathematics |
| 9 | 2021 |
| Projected exponential Runge–Kutta methods for preserving dissipative properties of perturbed constrained Hamiltonian systems | Journal of Computational and Applied Mathematics |
| 1 | 2021 |
| Bifurcation preserving discretisations of optimal control problems | IFAC-PapersOnLine | 3 | 2021 |
Citations Analysis
The category
Science: Mathematics 14
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Geometric Approach to Pontryagin’s Maximum Principle and was published in 2008. The most recent citation comes from a 2024 study titled Simpson’s Variational Integrator for Systems with Quadratic Lagrangians. This article reached its peak citation in 2021, with 4 citations. It has been cited in 18 different journals, 11% of which are open access. Among related journals, the SIAM Journal on Numerical Analysis cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.