The stabilizability and connections between internal and BIBO stability of 2-D singular systems

Multidimensional Systems and Signal Processing

Volumn 15, Issue 1, 2004, Pages 37-50

  Wang, Weiqun ^a   Zou, Yun ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

2 D systems; Singular systems; Stability

Indexed keywords

BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; THEOREM PROVING; TWO DIMENSIONAL; VECTORS;

BEZOUT IDENTITY; SINGULAR SYSTEMS; STABILIZABILITY; TWO DIMENSIONAL SYSTEMS;

SYSTEM STABILITY;

EID: 0842278901     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MULT.0000003930.53696.1b     Document Type: Article

References (16)

1. R.P. Roesser, "A Discrete State-Space Model for Linear Image Processing," IEEE Trans. Automat. Contr., vol. 20, 1975, pp. 1-10.
2. C.W. Yang and Y. Zou, 2-D linear Discrete Systems, Beijing: Defense Industry Press, 1995.
3. T. Kaczorek, Two-Dimensional Linear Systems, New York: Spring-Verlag, 1985.
4. T. Kaczorek, "General Response Formula and Minimus Energy Control for the general singular model for 2-D systems," IEEE Trans. Automat. Contr., vol. 35, 1990, pp. 433-436.
5. T. Kaczorek, "Singular General Model of 2-D Systems and Its Solutions," IEEE Trans. Automat. Contr., vol. 33, 1988, pp. 1061-1091.
6. K. Galkowski, "State-Space Realization of MIMO 2-D Discrete Linear Systems-Elementary Operation and Variable Inversion Approach," Int. J. Contr., vol. 73, no. 3, 2000, pp. 242-253.
7. T. Kaczorek, "Acceptable Input Sequences for Singular 2-D Linear Systems," IEEE Trans. Contr., vol. 38, 1993, pp. 1391-1394.
8. A. Karamanciogle and F.R. Lewis, "Geometric Theory for Singular Roesser Model," IEEE Trans. Automat. Contr., vol. 37, 1992, pp. 801-806.
9. A.C. Pugh, S.J. McInerney, et al., "Matrix Pencil Equivalents of a General 2-D Polynomial Matrix," Int. J. Contr., vol. 76, no. 6, 1998, pp. 1027-1050.
10. Zou Yun and S.L. Campbell, "The Jump Behavior and Stability Analysis for 2-D Singular Systems," Multidimensional Systems and Signal Processing, vol. 11, 2000, pp. 321-338.
11. Zou Yun and Yang Chengwu, "The Realization for 2-D Singular Systems," Control Theory and Applications, vol. 16, 1999, pp. 445-447.
12. Chenxiao Cai, Weiqun Wang, and Yun Zou, "A Note on the Internalstability for 2-D Acceptable Linear Singular Discrete Systems," The 2002 international conference on control and automation, China: Xiamen, June 16-19, 2002.
13. M. Bisiacco, E. Fornasini, and G. Marchesini, "On Some Connections between BIBO and Internal Stability of Two-Dimensional Filters," IEEE Trans. Circuits Syst. CAS-32, no. 9, 1985, pp. 948-953.
14. Weiqun Wang and Yun Zou, "The Detectability and Observer Design of 2-D Singular Systems," IEEE Trans. Circuits and systems-I Fundamental Theory and Applications, no. 5, 2002, 698-703.
15. M. Bisiacco, "On the Structure of 2-D Observers," IEEE Trans. Contr., vol. 31, 1986, pp. 676-680.
16. Mo Zhongjian, Algebra(II), Beijing: University Press, 1986.