Name
Abstract | ||
|---|---|---|
We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semidefinite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): 1) A manifold is globally “transversally” exponentially stable; 2) the corresponding variational system admits the same property; 3) there exists a degenerate Riemannian metric which is contracted by the flow and can be used to construct a Lyapunov function. We show that the transverse contraction rate being larger than the expansion of the shadow on the manifold is a sufficient condition for the existence of such a Lyapunov function. An illustration of these tools is given in the context of global full-order observer design. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1109/TAC.2020.3036021 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Contraction,exponentially attractive invariant manifold,transversal exponential stability | Journal | 66 |
Issue | ISSN | Citations |
8 | 0018-9286 | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent Andrieu | 1 | 328 | 32.83 |
| Bayu Jayawardhana | 2 | 394 | 49.42 |
| Praly, L. | 3 | 1835 | 364.39 |