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Finite-region stability and finite-region boundedness for 2D Roesser models
- Source :
- Mathematical Methods in the Applied Sciences. 39:5757-5769
- Publication Year :
- 2016
- Publisher :
- Wiley, 2016.
-
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.
- Subjects :
- 0209 industrial biotechnology
General Mathematics
General Engineering
Stability (learning theory)
010103 numerical & computational mathematics
02 engineering and technology
State (functional analysis)
Linear matrix
01 natural sciences
020901 industrial engineering & automation
Control theory
Transient (oscillation)
0101 mathematics
Analysis method
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 39
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........136449201d9a1b96f481000ed58aced1