On the stability of 2D state-space models

被引:36
作者
Bouagada, Djillali [1 ]
Van Dooren, Paul [2 ]
机构
[1] Univ Abdelhamid Ibn Badis Mostaganem, Lab Pure & Appl Math, Dept Math, Fac SESN, Mostaganem 27000, Algeria
[2] Catholic Univ Louvain, CESAME, B-1348 Louvain, Belgium
关键词
2D systems; stability; LMIs; positive polynomials; 2-DIMENSIONAL SYSTEMS; DISCRETE-SYSTEMS; HUANGS THEOREM; GENERAL-MODEL; 2-D SYSTEMS; FILTERS; PROOF;
D O I
10.1002/nla.836
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the problem of stability of two-dimensional linear systems. New sufficient conditions for the asymptotic stability are derived in terms of linear matrix inequalities. Copyright (c) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:198 / 207
页数:10
相关论文
共 24 条
[1]   STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS [J].
ANDERSON, BDO ;
AGATHOKLIS, P ;
JURY, EI ;
MANSOUR, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03) :261-267
[2]   ON CERTAIN 2-VARIABLE GENERALIZATIONS OF CIRCUIT THEORY WITH APPLICATIONS TO NETWORKS OF TRANSMISSION LINES + LUMPED REACTANCES [J].
ANSELL, HG .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1964, CT11 (02) :214-&
[3]  
Attasi S., 1973, SYSTEMES LINEAIRES H, V31
[4]   CORRECT PROOF OF HUANGS THEOREM ON STABILITY [J].
DAVIS, DL .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1976, 24 (05) :425-426
[5]  
Dimitriscu B, 2007, POSITIVE TRIGONOMETR
[6]   STATE-SPACE REALIZATION THEORY OF 2-DIMENSIONAL FILTERS [J].
FORNASINI, E ;
MARCHESINI, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) :484-492
[7]   STABILITY ANALYSIS OF 2-D SYSTEMS [J].
FORNASINI, E ;
MARCHESINI, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (12) :1210-1217
[8]   DOUBLY-INDEXED DYNAMICAL-SYSTEMS - STATE-SPACE MODELS AND STRUCTURAL-PROPERTIES [J].
FORNASINI, E ;
MARCHESINI, G .
MATHEMATICAL SYSTEMS THEORY, 1978, 12 (01) :59-72
[9]   Optimization problems over positive pseudopolynomial matrices [J].
Genin, Y ;
Hachez, Y ;
Nesterov, Y ;
Van Dooren, P .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 25 (01) :57-79
[10]   Positivity and linear matrix inequalities [J].
Genin, Y ;
Hachez, Y ;
Nesterov, Y ;
Stefan, R ;
Van Dooren, P ;
Xu, S .
EUROPEAN JOURNAL OF CONTROL, 2002, 8 (03) :275-298