Optimal control and the geometry of integrable systems
58 mins 45 secs,
210.75 MB,
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480x270,
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44100 Hz,
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About this item
| Description: |
Bloch, A
Wednesday 31st July 2019 - 15:00 to 16:00 |
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| Created: | 2019-08-01 14:36 |
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| Collection: | Geometry, compatibility and structure preservation in computational differential equations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Bloch, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In this talk we discuss a geometric approach to certain optimal control
problems and discuss the relationship of the solutions of these problem to some classical integrable dynamical systems and their generalizations. We consider the so-called Clebsch optimal control problem and its relationship to Lie group actions on manifolds. The integrable systems discussed include the rigid body equations, geodesic flows on the ellipsoid, flows on Stiefel manifolds, and the Toda lattice flows. We discuss the Hamiltonian structure of these systems and relate our work to some work of Moser. We also discuss the link to discrete dynamics and symplectic integration. |
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| iPod Video * | 480x270 | 489.77 kbits/sec | 210.75 MB | View | Download | |
| MP3 | 44100 Hz | 249.73 kbits/sec | 107.58 MB | Listen | Download | |
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