Stability and Robust Stability of 2D Discrete Fornasini-Marchesini Model with Multiplicative Noise

被引:0
作者
Elloumi, Marwa [1 ]
Ghamgui, Mariem [1 ,2 ]
Mehdi, Driss [2 ]
Chaabane, Mohamed [1 ]
机构
[1] Univ Sfax, ENIS, Lab STA, Route Soukra Km 4 Sfax BP W3038, Sfax, Tunisia
[2] Univ Poitiers, LIAS ENSIP, Batiment B25,2 Rue Pierre Brousse,BP 633, F-86022 Poitiers, France
来源
2017 6TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC' 17) | 2017年
关键词
2D discrete systems; multiplicative noise; stability; robust stability; LMI conditions; DIGITAL-FILTERS; SYSTEMS; STABILIZATION; DELAY; EQUATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper tackles the problem of stability and (FM) model with multiplicative noise. First, we establish a mean-square asymptotic stability by using the Leibniz-Newton formula with additional free weighting matrices. Based on this stability criterion, which is expressed through Linear Matrix Inequality, we investigate the robust stability for 2D discrete Fornasini-Marchesini (FM) model with multiplicative noise with norm-bounded uncertain matrix. To illustrate the effectiveness of the proposed approach, simulation examples are given.
引用
收藏
页码:616 / 621
页数:6
相关论文
共 27 条
[1]   Stochastic stability analysis for 2-D Roesser systems with multiplicative noise [J].
Ahn, Choon Ki ;
Wu, Ligang ;
Shi, Peng .
AUTOMATICA, 2016, 69 :356-363
[2]   Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model [J].
Ahn, Choon Ki ;
Kar, Haranath .
IEEE SIGNAL PROCESSING LETTERS, 2015, 22 (08) :1065-1069
[3]   l2 - l∞ Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference [J].
Ahn, Choon Ki .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2013, 60 (06) :361-365
[4]  
[Anonymous], 1990, Two-Dimensional Signal and Image Processing
[5]  
Bouhtouri A. E., 1999, INT J ROBUST NONLIN
[6]  
Boyd S., 1994, SIAM STUDIES APPL MA
[7]  
BRACEWELL RN, 1995, PRENTICE HALL SIGNAL
[8]   Stability and Robust Stability of 2D Discrete Stochastic Systems [J].
Cui, Jia-Rui ;
Hu, Guang-Da ;
Zhu, Qiao .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[9]   Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach [J].
Du, C ;
Xie, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (11) :1371-1374
[10]   Delay-dependent robust stability and stabilisation of uncertain two-dimensional discrete systems with time-varying delays [J].
Feng, Z. -Y. ;
Xu, L. ;
Wu, M. ;
He, Y. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) :1959-1971