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A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference
- Authors
- Ahn, Choon Ki
- Issue Date
- 11월-2014
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- H-infinity criterion; 2-D digital filters; Fornasini-Marchesini second model; Finite wordlength effects; Linear matrix inequality (LMI)
- Citation
- SIGNAL PROCESSING, v.104, pp.225 - 231
- Indexed
- SCIE
SCOPUS
- Journal Title
- SIGNAL PROCESSING
- Volume
- 104
- Start Page
- 225
- End Page
- 231
- ISSN
- 0165-1684
- Abstract
- Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H-infinity performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion. (C) 2014 Elsevier B.V. All rights reserved.
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