Notes on representation theorems for linear discrete-space systems

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn 5, Issue , 1999, Pages

  Sandberg, Irwin W ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE-SPACE SINGLE-INPUT SINGLE-OUTPUT LINEAR SYSTEMS;

CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0032655914     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (21)

1. W. M. Seibert, Circuits, Signals, and Systems, Cambridge, MA: MIT Press, 1997.
2. A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, Upper Saddle River, NJ: Prentice Hall, 1997.
3. J. G. Proakis, and D. G. Manolakis, Digital Signal Processing, New York: Macmillan, 1992.
4. I. W. Sandberg, "A Representation Theorem for Linear Discrete-Space Systems," Mathematical Problems in Engineering, vol. 4, no. 5, pp. 369-375, 1998
5. Conference versions appear in Proceedings of the IASTED International Conference on Signal and Image Processing, New Orleans, December 4-6, 1997, pp. 403-408
6. Proceedings of the NASA UB.C University Technical Conference, University of New Mexico, Albuquerque, February 16-19, 1997, pp. 919-923.
7. Appendix G of "Multidimensional Nonlinear Myopic Maps, Volterra Series, and Uniform Neural-Network Approximations," pp. 99-128
8. D. Docampo, A. Figueiras-Vidal, and F. Perez-Gonzalez (eds.), Intelligent Methods in Signal Processing and Communications, Boston: Birkhauser, 1997 (selected papers given at the Fourth Bayona Workshop on Intelligent Methods for Signal Processing and Communications, Bayona, Spain, June 1996).]
9. "The Superposition Scandal," Journal of Circuits, Systems, and Signal Processing, vol. 17, no. 6, pp. 733-735, 1998
10. "A Note on Representation Theorems for Linear Discrete-Space Systems," Journal of Circuits, Systems, and Signal Processing, vol. 17, no. 6, pp. 703-708, 1998
11. G. Bachman and L. Narici, Functional Analysis, New York: Academic Press, 1966
12. L. V. Kantorovich and G. P. Akilov, Functional Analysis, Oxford: Pergamon, 1982
13. S. P. Boyd, "Volterra Series: Engineering Fundamentals," dissertation, Univ. California, Berkeley, 1985
14. W. J. Borodziewicz, K. J. Jaszczak, and M. A. Kowalski, "A Note on Mathematical Formulation of Discrete-Time Linear Systems," Signal Processing, vol. 5, pp. 369-375, 1983
15. A. P. Kishore and J. B. Pearson, "Kernel Representations and Properties of Discrete-Time Input-Output Systems," Linear Algebra and its Applications, vol. 205-206, pp. 893-908, 1994
16. R. E. Edwards, Functional Analysis, New York: Dover, 1995
17. I. W. Sandberg, "A Note on BIBO Stability of Linear Discrete-Space Systems," Journal of Multidimensional Systems and Signal Processing, 1999, to appear
18. "Structure Theorems for Nonlinear Systems," Multidimensional Systems and Signal Processing, vol. 2, no. 3, pp. 267-286, 1991.
19. See also Errata in vol. 3, no. 1, p. 101, 1992.
20. "A Representation Theorem for Linear Systems," IEEE Transactions on Circuits and Systems-I, vol. 45, no. 5, pp. 578-580, May 1998
21. "Multidimensional Linear Systems: the Extra Term," International Journal of Circuit Theory and Applications, 1999 (to appear)