Title :
On the Asymptotic Stability of Positive 2-D Systems Described by the Roesser Model
Author :
Chu, Bing ; Liu, Yanhong
Author_Institution :
Univ. of Sheffield, Sheffield
Abstract :
This brief investigates the asymptotic stability of positive 2D systems described by the Roesser model. A necessary and sufficient condition is derived for the asymptotic stability, which amounts to checking the spectrum radius of the system matrix. Furthermore, it can be shown that the asymptotic stability of positive 2D systems is equivalent to that of the traditional 1D systems. This observation would greatly facilitate the analysis and synthesis of positive 2D systems.
Keywords :
asymptotic stability; matrix algebra; Roesser model; asymptotic stability; matrix algebra; positive 2D system; Asymptotic stability; Biological system modeling; Control system synthesis; Signal processing; Signal synthesis; Sufficient conditions; Thermal pollution; Water heating; Water pollution; Wireless communication; 2-D systems; Roesser model; asymptotic stability; positive systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.908899
