Title :
Finite-time input-to-state stability and optimization of switched systems
Author :
Xiaoli, Wang ; Yiguang, Hong ; Zhongping, Jiang
Author_Institution :
Key Lab. of Syst. & Control, Chinese Acad. of Sci., Beijing
Abstract :
In this paper, we address finite-time input-to-state stability (ISS) problem for switched nonlinear systems. We first show the relationship between finite-time ISS and the finite-time ISS-Lyapunov function for switched systems. Then we prove that a switched nonlinear system is finite-time ISS under average dwell-time switching signals if each constituent subsystem is finite-time ISS. Moreover, we analyze the optimal costs for a class of switched finite-time stabilizing systems and for their relaxed differential inclusions, respectively.
Keywords :
Lyapunov methods; cost optimal control; nonlinear control systems; optimisation; stability; time-varying systems; ISS; Lyapunov function; dwell-time switching signals; finite-time input-to-state stability; optimal costs; optimisation; switched nonlinear systems; Control systems; Cost function; Force control; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Stability; State feedback; Switched systems; Finite-time control; Input-to-state stability (ISS); Lyapunov function; Switched systems;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605395
