Name
Abstract | ||
|---|---|---|
We introduce three forms of generalized contraction (GC). Roughly speaking, these are motivated by allowing contraction to take place after small transients in time and/or amplitude. Indeed, contraction is usually used to prove asymptotic properties, like convergence to an attractor or entrainment to a periodic excitation, and allowing initial transients does not affect this asymptotic behavior. We provide sufficient conditions for GC, and demonstrate their usefulness using examples of systems that are not contractive, with respect to any norm, yet are GC. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/CDC.2014.7039618 | Decision and Control |
Keywords | Field | DocType |
convergence,system theory,GC,asymptotic behavior,asymptotic properties,convergence,generalized contraction,periodic excitation | Convergence (routing),Attractor,Contraction (grammar),Periodic excitation,Generalization,Mathematical analysis,Computer science,Control theory,Entrainment (chronobiology),Amplitude,Asymptotic analysis | Conference |
ISSN | Citations | PageRank |
0743-1546 | 6 | 0.51 |
References | Authors | |
17 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eduardo D. Sontag | 1 | 3134 | 781.88 |
| Michael Margaliot | 2 | 783 | 59.94 |
| Tamir Tuller | 3 | 426 | 47.25 |