Abstract | ||
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This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the ℋ∞ and ℋ2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust ℋ∞, ℋ2, and robust mixed ℋ2/ℋ∞ filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples |
Year | DOI | Venue |
---|---|---|
2002 | 10.1109/TSP.2002.1011215 | Signal Processing, IEEE Transactions |
Keywords | Field | DocType |
H∞ optimisation,filtering theory,matrix algebra,two-dimensional digital filters,2D filters,2D systems,convex LMI characterizations,linear matrix inequality,robust filtering,robust mixed ℋ2/ℋ∞ filtering,two-dimensional systems | H-infinity methods in control theory,Signal processing,Mathematical optimization,Control theory,Filter (signal processing),Regular polygon,Robust filtering,Robust control,Mathematics,Linear matrix inequality | Journal |
Volume | Issue | ISSN |
50 | 7 | 1053-587X |
Citations | PageRank | References |
24 | 3.19 | 3 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hoang D. Tuan | 1 | 1936 | 191.03 |
Pierre Apkarian | 2 | 635 | 108.90 |
Nguyen, T.Q. | 3 | 1005 | 168.61 |
Tatsuo Narikiyo | 4 | 24 | 3.19 |