Title :
Finite-Time Input-to-State Stability and Related Lyapunov Analysis
Author :
Yiguang, Hong ; Zhongping, Jiang ; Gang, Feng
Author_Institution :
Chinese Acad. of Sci., Beijing
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.
Keywords :
Lyapunov methods; asymptotic stability; feedback; nonlinear control systems; Lyapunov analysis; asymptotic stability analysis; finite-time control problem; finite-time input-to-state stability; finite-time stabilizing feedback law; nonlinear control system; nonsmooth control; Control nonlinearities; Control systems; Force control; Force feedback; Linear feedback control systems; Nonlinear control systems; Nonlinear systems; Sliding mode control; Stability analysis; Uncertainty; Finite-time control; Lyapunov function; input-to-state stability (ISS); non-smooth dynamics;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347311
