Multivariable Canonical Forms for Model Reduction of 2-D Discrete Time Systems

IEEE Transactions on Circuits and Systems

Volumn 37, Issue 4, 1990, Pages 488-501

  Premaratne, Kamal ^a   Jury, E I ^a   Mansour, M ^b  

^a UNIVERSITY OF MIAMI   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

model reduction; Multivariable systems

Indexed keywords

CONTROL SYSTEMS, MULTIVARIABLE--STABILITY;

2-D DISCRETE TIME SYSTEMS; MIMO CANONICAL FORMS; MODEL REDUCTION; MULTIVARIABLE CANONICAL FORMS;

CONTROL SYSTEMS, DISCRETE TIME;

EID: 0025414537     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.52751     Document Type: Article

References (12)

1. B. D. O. Anderson, E. I. Jury, and M. Mansour. “Schwarz matrix properties for continuous discrete time systems,” Int. J. Contr., vol. 23, no. 1, pp. 1–16, Jan. 1976.
2. E. Badreddin and M. Manosur, “Model reduction of discrete time systems using the Schwarz canonical form,” Electron. Lett., vol. 16. pp. 782–783. 1980.
3. E. Badreddin, “A time scale method for model reduction of discrete time systems,” Ph.D. dissertation, Eidgenossische Tech-nische Hochschulc (ETH), Zürich. Switzerland. 1982.
4. E. Badreddin and M. Mansour, “A multivariable normal form for model reduction of discrete time systems,” Syst. Com. Lett., vol. 2. pp. 271–285, Feb. 1983.
5. —, “A second multivariable normal form for model reduction of discrete time systems,” Syst. Contr. Lett., vol. 4, pp. 109–117, 1984.
6. E. I. Jury and K. Premaratne. “Model reduction of two dimensional discrete systems,” IEEE Trans. Circuit Syst., vol. CAS-33, pp. 558–562. May 1986.
7. W. S. Lu and E. B. Lee, “Stability analysis for two dimensional systems via a Lyapunov approach,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 61–68. Jan. 1985.
8. D. G. Luenberger, “Canonical forms for linear multivariable systems,” IEEE Trans. Automat. Contr., pp. 290–293, June 1967.
9. K. Premaratne. “Model reduction of 2-D discrete systems,” M.Sc. thesis. Dept. Elec. Comp. Eng., Univ. of Miami, Coral Gables. FL, 1984.
10. K. Premaratne, “Model reduction of two dimensional discrete time and delay systems,” Doctoral dissertation. Dep. Elect. Comp. Eng., Univ. of Miami, Coral Gables, FL, 1988.
11. K. Premaratne, E. I. Jury, and M. Mansour. “An algorithm for model reduction of 2-D discrete time systems,” to be published in IEEE Trans. Circuits Syst.
12. R. P. Roesser. “A discrete state space model for linear image processing,” IEEE Trans. Automat. Contr., vol. AC-20. pp. 1–10. Feb. 1975.