Name
Abstract | ||
|---|---|---|
A theorem by Hadamard gives a two-part condition under which a map from one Banach space to another is a homeomorphism. The theorem, while often very useful, is incomplete in the sense that it does not explicitly specify the family of maps for which the condition is met. Recently, under a typically weak additional assumption on the map, it was shown that Hadamard's condition is met if and only if the map is a homeomorphism with a Lipschitz continuous inverse. Here an application is given concerning the relation between the stability of a discrete-time nonlinear system and the stability of related linear systems. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1109/ISCAS.2002.1009825 | Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium |
Keywords | Field | DocType |
discrete time systems,linearisation techniques,nonlinear systems,stability,Banach space,Hadamard's condition,Lipschitz continuous inverse,discrete-time nonlinear system,homeomorphism,linearization,stability | Discrete mathematics,Linear system,Control theory,Pure mathematics,Banach space,Hadamard three-lines theorem,Lipschitz continuity,Discrete time and continuous time,Hadamard transform,Linearization,Mathematics,Homeomorphism | Conference |
Volume | Issue | Citations |
1 | 5 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Irwin W. Sandberg | 1 | 27 | 15.00 |