Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1609-1613 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 58 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2013 |
Fingerprint
Cite this
}
Further input-to-state stability subtleties for discrete-time systems. / Lazar, M.; Heemels, W.P.M.H.; Teel, A.R.
In: IEEE Transactions on Automatic Control, Vol. 58, No. 6, 2013, p. 1609-1613.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Further input-to-state stability subtleties for discrete-time systems
AU - Lazar, M.
AU - Heemels, W.P.M.H.
AU - Teel, A.R.
PY - 2013
Y1 - 2013
N2 - This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.
AB - This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.
U2 - 10.1109/TAC.2012.2231611
DO - 10.1109/TAC.2012.2231611
M3 - Article
VL - 58
SP - 1609
EP - 1613
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 6
ER -