Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
- Authors
- Ahn, Choon Ki; Wu, Ligang; Shi, Peng
- Issue Date
- 7월-2016
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- State-multiplicative noisy system; Two-dimensional (2-D) system; Robust stochastic stability; Digital filter
- Citation
- AUTOMATICA, v.69, pp.356 - 363
- Indexed
- SCIE
SCOPUS
- Journal Title
- AUTOMATICA
- Volume
- 69
- Start Page
- 356
- End Page
- 363
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/88109
- DOI
- 10.1016/j.automatica.2016.03.006
- ISSN
- 0005-1098
- Abstract
- This paper is concerned with the robust stochastic stability analysis for two-dimensional (2-D) discrete state-multiplicative noisy systems (SMNSs) in the Roesser form. We first derive a new sufficient condition under which linear discrete 2-D SMNSs are 2-D robustly stochastically stable. The underlying problem can then be recast as a convex problem expressed by linear matrix inequalities, which can be facilitated using existing numerical algorithms. We then apply the obtained result to examine the 2-D robust stochastic stability for 2-D digital filters in the Roesser form with random coefficient variation and saturation overflow arithmetic based on free-weighting matrices and diagonally dominant matrices. An illustrative example is presented to verify the usefulness and potential of the proposed results. (C) 2016 Elsevier Ltd. All rights reserved.
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