Characteristic cones and stability properties of two-dimensional autonomous behaviors

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 47, Issue 3, 2000, Pages 290-302

  Valcher, Maria Elena ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; LINEAR SYSTEMS; MATRIX ALGEBRA; POLYNOMIALS; THEOREM PROVING;

CHARACTERISTIC CONES; GREATEST COMMON DIVISOR; LAURENT POLYNOMIAL MATRICES; LINEAR SHIFT INVARIANT; TWO DIMENSIONAL AUTONOMOUS BEHAVIORS;

SYSTEM STABILITY;

EID: 0034156938     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.841912     Document Type: Article

References (17)

1. S. AttasiSystèmes linéaires homogènes à deux indices," Rapport LABORIA, vol. 31, 1973.
2. E. Fornasini and G. MarchesiniDoubly indexed dynamical systems," Math. Syst. Theory, vol. 12, pp. 59-72, 1978.
3. M. Morf, B. C. Lévy, S. Y. Kung, and T. KailathNew results in 2D systems theory, part I and II," Proc. IEEE. vol. 65, no. 6, pp. 861-872; 945-961, 1977.
4. R. P. RoesserA discrete state space model for linear image processing," IEEE Trans. Automat. Contr., vol. AC-20, pp. 1-10, Feb., 1975.
5. D. GoodmanSome stability properties of two-dimensional linear shift-invariant digital filters," IEEE Trans. Circuits Syst., vol. CAS-24, pp. 201-208, Apr., 1977.
6. T. S. HuangStability of two-dimensional recursive filters," IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 158-163, June, 1972.
7. E. Fornasini and G. MarchesiniStability analysis of 2D systems," IEEE Trans. Circuits Syst., vol. CAS-32, pp. 1246-1254, Dec., 1980.
8. J. C. WillemsModels for dynamics," Dynamics Reported, vol. 2, pp. 171-269, 1988.
9. J. C. WillemsParadigms and puzzles in the theory of dynamical systems," IEEE Trans. Automat. Contr., vol. 36, pp. 259-294, Mar., 1991.
10. E. Fornasini and M. E. ValcherAlgebraic aspects of 2D convolutional codes," IEEE Trans. Inform. Theory, vol. 33, pp. 1210-1225, July, 1994.
11. E. Fornasini and M. E. ValcherMultidimensional systems with finite support behaviors: Signal structure, generation and detection," SIAM J. Contr. Opt., vol. 36, no. 2, pp. 760-779, 1998.
12. P. RochaStructure and representation of 2-D systems," Ph.D. thesis, Univ. of Groningen, The Netherlands, 1990.
13. W. P. Heath, Self-Tuning Control for Two-Dimensional Processes. New York: Wiley, 1994.
14. E. Fornasini and M. E. ValchernD polynomial matrices with applications to multidimensional signal analysis," Multidimensional Syst. Sign. Proc., vol. 8, pp. 387-407, 1997.
15. E. Fornasini, P. Rocha, and S. ZampieriState space realization of 2-D finite-dimensional behaviours," SIAM J. Contr. Opt., vol. 31, pp. 1502-1517, 1993.
16. W. Fulton, Algebraic Curves. New York: Benjamin, 1969.
17. E. FornasiniA note on output feedback stabilizability of multivariable 2-D systems," Syst. Contr. Lett., vol. 10, pp. 45-50, 1988.