Title :
Stability Analysis of Positive Systems With Bounded Time-Varying Delays
Author :
Liu, Xingwen ; Yu, Wensheng ; Wang, Long
Author_Institution :
Inst. of Electr. & Inf. Eng., Southwest Univ. for Nat., Chengdu, China
fDate :
7/1/2009 12:00:00 AM
Abstract :
This brief addresses stability of the discrete-time positive systems with bounded time-varying delays and establishes some necessary and sufficient conditions for asymptotic stability of such systems. It turns out that, for any bounded time-varying delays, the magnitude of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.
Keywords :
asymptotic stability; delays; discrete time systems; matrix algebra; time-varying systems; asymptotic stability; bounded time-varying delays; discrete-time positive systems; positive systems; stability analysis; system matrices; Linear copositive Lyapunov function (functional); positive linear system; stability; time-varying delays;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2009.2023305
