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Linear feedback systems and the groups of Galois and Lie

โœ Scribed by R.W. Brockett


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
1011 KB
Volume
50
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


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โœ V.V. Kozlov ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 459 KB

Mechanical systems whose configuration space is a Lie group and whose Lagrangian is invariant to left translations on that group are considered. It is assumed that the mass geometry of the system may change under the action of only internal forces. The equations of motion admit of a complete set of

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Using the representation theory of groups, we are able to give simple necessary and sufficient conditions regarding the structure of the Galois groups of second and third order linear differential equations. These allow us to give simple necessary and sufficient conditions for a second order linear

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Results on the finite nonperiodic A n Toda lattice are extended to the Bogoyavlesky Toda systems of type B n and C n . The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a, b) as well