| Summary: | The goal of this article is to compare the observability properties of the class of linear control systems in two different manifolds: on the Euclidean space <inline-formula> <math display="inline"> <semantics> <msup> <mi mathvariant="double-struck">R</mi> <mi>n</mi> </msup> </semantics> </math> </inline-formula> and, in a more general setup, on a connected Lie group <i>G</i>. For that, we establish well-known results. The symmetries involved in this theory allow characterizing the observability property on Euclidean spaces and the local observability property on Lie groups.
|
|---|