TY - GEN
T1 - Finite-time input-to-state stability and related lyapunov analysis
AU - Yiguang, Hong
AU - Zhongping, Jiang
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
T3 - Proceedings of the 26th Chinese Control Conference, CCC 2007
SP - 652
EP - 656
BT - Proceedings of the 26th Chinese Control Conference, CCC 2007
T2 - 26th Chinese Control Conference, CCC 2007
Y2 - 26 July 2007 through 31 July 2007
ER -