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CHINAF
2008
82views more  CHINAF 2008»
13 years 4 months ago
Input-to-state stability of switched nonlinear systems
: The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By the method of multiple Lyapunov function, a sufficient ISS condition is gi...
Wei Feng, Jifeng Zhang
CDC
2009
IEEE
160views Control Systems» more  CDC 2009»
13 years 9 months ago
On piecewise quadratic control-Lyapunov functions for switched linear systems
— In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a...
Wei Zhang, Alessandro Abate, Michael P. Vitus, Jia...
ICRA
2006
IEEE
95views Robotics» more  ICRA 2006»
13 years 10 months ago
Stability Analysis and Control Law Design for Acrobots
— This paper presents a novel control strategy based on a non-smooth Lyapunov function to guarantee the stability of the system in the whole motion space. Three control laws that...
Xu-Zhi Lai, Jin-Hua She, Simon X. Yang, Min Wu
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 10 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo