Title :
Critria for robust stability of discrete-time dynamic interval systems with multiple time-delays
Author :
Han, Jin-fang ; Tian, Hui-zhu ; Meng, Zhi-yong
Author_Institution :
Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
In this paper, the sufficient conditions of the robust stability for a class of discrete-time dynamic interval systems with multiple time-delays are obtained using the Lyapunov stability theory and some properties of spectral radius. Using the decomposition of matrix, a kind of equivalent description of the discrete-time dynamic interval systems is presented. Numerical examples have been given to illustrate the effectiveness of the proposed results. Some previously known results are generalized.
Keywords :
Lyapunov methods; delays; discrete time systems; robust control; Lyapunov stability theory; discrete-time dynamic interval systems; matrix decomposition; multiple time-delays; robust stability; spectral radius; Asymptotic stability; Linear matrix inequalities; Robust stability; Robustness; Stability criteria; Sufficient conditions; Dynamic interval systems; Interval matrices; Lyapunov approach; Robust stability; Spectral radius; Time-delay;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5580597
