Input-Output-to-State Stability
| dc.creator | Krichman, Mikhail | |
| dc.creator | Sontag, Eduardo D. | |
| dc.creator | Wang, Yuan | |
| dc.date | 1999-11-29 | |
| dc.date.accessioned | 2026-07-07T05:32:00Z | |
| dc.date.available | 2026-07-07T05:32:00Z | |
| dc.description | This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function. As corollaries, one shows the existence of ``norm-estimators'', and obtains characterizations of nonlinear detectability in terms of relative stability and of finite-energy estimates. | |
| dc.description | Many related papers can be found in: http://www.math.rutgers.edu/~sontag | |
| dc.identifier | https://arxiv.org/abs/math/9911233 | |
| dc.identifier | http://arxiv.org/abs/math/9911233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79505 | |
| dc.subject | Optimization and Control | |
| dc.subject | 93D20;93C15;93B36 | |
| dc.title | Input-Output-to-State Stability | |
| dc.type | text |