Title :
Results on converse Lyapunov theorems for difference inclusions
Author :
Kellett, Christopher M. ; Teel, Andrew R.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Vic., Australia
Abstract :
We present new results on the existence of Lyapunov functions for discrete-time systems described by difference inclusions that are stable with respect to two measures. Specifically, the existence of a discrete-time Lyapunov function is equivalent to the robustness of the stability property. We present several cases where this robustness holds.
Keywords :
Lyapunov methods; discrete time systems; stability; Lyapunov theorems; difference inclusions; discrete time Lyapunov function; discrete time systems; robustness; stability; Asymptotic stability; Difference equations; Differential equations; Lyapunov method; Motion measurement; Nonlinear equations; Robust control; Robustness;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271711
