Title :
A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions
Author :
Duc N. Tran;Christopher M. Kellett;Peter M. Dower
Author_Institution :
School of Electrical Engineering and Computer Science, The University of Newcastle, Callaghan, NSW 2308, Australia
Abstract :
In this paper, we study the notion of ISS with respect to two measurement functions for discrete-time systems. An example in previous work shows that, in the two measurement function case, the existence of an implication-form ISS-Lyapunov function does not imply ISS. Here, we define a "strong" ISS-Lyapunov function and demonstrate that its existence is equivalent to ISS with respect to two measurement functions.
Keywords :
"Lyapunov methods","Australia","Asymptotic stability","Standards","Stability analysis","Context","Discrete-time systems"
Conference_Titel :
Control Conference (AUCC), 2015 5th Australian
