Finite‐region stability and finite‐region boundedness for 2D Roesser models. (27th May 2016)

• Record Type: Journal Article
• Authors: Zhang, Guangchen; Wang, Weiqun
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 18(2016:Dec. 15)
• Page Start: 5757
• Page End: 5769
• Publication Date: 2016-05-27
• Subjects: finite‐region stability -- finite‐region boundedness -- finite‐region stabilization -- Roesser models; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3982
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we establish finite‐region stability (FRS) and finite‐region boundedness analysis methods to investigate the transient behavior of discrete two‐dimensional Roesser models. First, by building special recursive formulas, a sufficient FRS condition is built via solvable linear matrix inequalities constraints. Next, by designing state feedback controllers, the finite‐region stabilization issue is analyzed for the corresponding two‐dimensional closed‐loop system. Similar to FRS analysis, the finite‐region boundedness problem is addressed for Roesser models with exogenous disturbances and corresponding criteria, and linear matrix inequalities conditions are reported. To conclude the paper, we provide numerical examples to confirm the validity of the proposed methods. Copyright © 2016 John Wiley & Sons, Ltd.