Abstract
This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of non-linear time-delay systems. The methodology is feasible by the use, for instance, of the M2 norm (that is the norm induced by the inner product in the Hilbert space known in literature as M 2, or Z) in the space of continuous functions, and by the use of functional which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 |
| Pages | 5782-5787 |
| Number of pages | 6 |
| Volume | 2005 |
| DOIs | |
| State | Published - 2005 |
| Event | 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005 |
Other
| Other | 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 |
|---|---|
| Country | Spain |
| City | Seville |
| Period | 12/12/05 → 12/15/05 |
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Keywords
- Functional differential equations
- Input-to-State Stability (ISS)
- Lyapunov-Krasovskii theorem
- Nonlinear time-delay systems
ASJC Scopus subject areas
- Engineering(all)
Cite this
A Lyapunov-Krasovskii methodology for ISS of time-delay systems. / Pepe, P.; Jiang, Zhong-Ping.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. p. 5782-5787 1583085.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A Lyapunov-Krasovskii methodology for ISS of time-delay systems
AU - Pepe, P.
AU - Jiang, Zhong-Ping
PY - 2005
Y1 - 2005
N2 - This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of non-linear time-delay systems. The methodology is feasible by the use, for instance, of the M2 norm (that is the norm induced by the inner product in the Hilbert space known in literature as M 2, or Z) in the space of continuous functions, and by the use of functional which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.
AB - This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of non-linear time-delay systems. The methodology is feasible by the use, for instance, of the M2 norm (that is the norm induced by the inner product in the Hilbert space known in literature as M 2, or Z) in the space of continuous functions, and by the use of functional which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.
KW - Functional differential equations
KW - Input-to-State Stability (ISS)
KW - Lyapunov-Krasovskii theorem
KW - Nonlinear time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=33847186252&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33847186252&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1583085
DO - 10.1109/CDC.2005.1583085
M3 - Conference contribution
SN - 0780395689
SN - 9780780395688
VL - 2005
SP - 5782
EP - 5787
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
ER -