Linear feedback systems and the groups of Galois and Lie
โ Scribed by R.W. Brockett
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 1011 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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
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