𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Controllability of Systems on Solvable Lie Groups: The Generic Case

✍ Scribed by Dirk Mittenhuber


Book ID
111567533
Publisher
Springer
Year
2001
Tongue
English
Weight
199 KB
Volume
7
Category
Article
ISSN
0925-4668

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Controllability of right invariant syste
✍ J.P. Gauthier; I. Kupka; G. Sallet πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 190 KB

We exhibit some classes of Lie groups, and a set of open assumptions on these groups, such that, under these assumptions, the 'controllability rank condition' becomes a necessary and sufficient condition for controllability of right invariant systems. condition when .L#(A, B), the Lie algebra gener

On Surjectivity of the Power Maps of Sol
✍ Pralay Chatterjee πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 158 KB

In this paper we study surjectivity of the map g β†’ g n on an arbitrary connected solvable Lie group and describe certain necessary and sufficient conditions for surjectivity to hold. The results are applied also to study the exponential maps of the Lie groups.  2002 Elsevier Science (USA)

On the Surjectivity of the Exponential F
✍ Michael WΓΌstner πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 663 KB

For a solvable Lie group G the surjectivity of the exponential function expc is equivalent to the connectedness of the near-Cartan subgroups and to the connectedness of the centralizers in a Cartan subgroup of all nilpotent elements in its Lie algebra g. Furthermore, these conditions are satisfied i

On the generic controllability of contin
✍ F.N. Koumboulis; P.N. Paraskevopoulos πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 386 KB

In this paper using a duality property between regular and generalized state-space systems, the necessary and sufficient conditions for the generic controllability of continuous generalized state-space systems are established. the necessary and sufficient conditions for the generic observability of