Abstract
Due to the need in studying finite-time control problems, this paper extends the well-known concept, input-to-state stability (ISS). A new concept, called finite-time input-to-state stability (finite-time ISS), is proposed and is applied to the finite-time stability analysis of some nonlinear systems and the design of finite-time stabilizing feedback laws. In addressing finite-time stability and control, nonsmoothness occurs in system nonlinearities and controller functions, and poses a serious technical difficulty. It is found that finite-time ISS plays an important role in nonsmooth control, in the same way as the conventional ISS in the asymptotic stability analysis and stabilization.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the 26th Chinese Control Conference, CCC 2007 |
| Pages | 652-656 |
| Number of pages | 5 |
| DOIs | |
| State | Published - 2007 |
| Event | 26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: Jul 26 2007 → Jul 31 2007 |
Other
| Other | 26th Chinese Control Conference, CCC 2007 |
|---|---|
| Country | China |
| City | Zhangjiajie |
| Period | 7/26/07 → 7/31/07 |
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Keywords
- Finite-time control
- Input-to-state stability (ISS)
- Lyapunov function
- Non-smooth dynamics
ASJC Scopus subject areas
- Computer Science Applications
- Control and Systems Engineering
- Applied Mathematics
- Modeling and Simulation
Cite this
Finite-time input-to-state stability and related lyapunov analysis. / Yiguang, Hong; Jiang, Zhong-Ping; Gang, Feng.
Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 652-656 4347311.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Finite-time input-to-state stability and related lyapunov analysis
AU - Yiguang, Hong
AU - Jiang, Zhong-Ping
AU - Gang, Feng
PY - 2007
Y1 - 2007
N2 - Due to the need in studying finite-time control problems, this paper extends the well-known concept, input-to-state stability (ISS). A new concept, called finite-time input-to-state stability (finite-time ISS), is proposed and is applied to the finite-time stability analysis of some nonlinear systems and the design of finite-time stabilizing feedback laws. In addressing finite-time stability and control, nonsmoothness occurs in system nonlinearities and controller functions, and poses a serious technical difficulty. It is found that finite-time ISS plays an important role in nonsmooth control, in the same way as the conventional ISS in the asymptotic stability analysis and stabilization.
AB - Due to the need in studying finite-time control problems, this paper extends the well-known concept, input-to-state stability (ISS). A new concept, called finite-time input-to-state stability (finite-time ISS), is proposed and is applied to the finite-time stability analysis of some nonlinear systems and the design of finite-time stabilizing feedback laws. In addressing finite-time stability and control, nonsmoothness occurs in system nonlinearities and controller functions, and poses a serious technical difficulty. It is found that finite-time ISS plays an important role in nonsmooth control, in the same way as the conventional ISS in the asymptotic stability analysis and stabilization.
KW - Finite-time control
KW - Input-to-state stability (ISS)
KW - Lyapunov function
KW - Non-smooth dynamics
UR - http://www.scopus.com/inward/record.url?scp=37749036586&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37749036586&partnerID=8YFLogxK
U2 - 10.1109/CHICC.2006.4347311
DO - 10.1109/CHICC.2006.4347311
M3 - Conference contribution
AN - SCOPUS:37749036586
SN - 7900719229
SN - 9787900719225
SP - 652
EP - 656
BT - Proceedings of the 26th Chinese Control Conference, CCC 2007
ER -