Minimal Dimension Realization and Identifiability of Input-Output Sequences

IEEE Transactions on Automatic Control

Volumn 22, Issue 2, 1977, Pages 227-232

  Liu, R ^a   Suen, L C ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0017480730     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1977.1101452     Document Type: Article

References (19)

1. B. L. Ho and R. E. Kalman, “Effective construction of linear state-variable models from input/output data,” in Proc. 3rd Annu. Allerton Conf. Circuit Syst. Theory, 1965.
2. R. E. Kalman, “On minimal partial realization of a linear input-output map,” in Topics in Mathematical System Theory. New York: McGraw-Hill, 1969, pp. 152-192.
3. A. J. Tether, “Construction of minimal linear state variable modeis from finite input-output data,” IEEE Trans. Automat. Contr., vol. AC-15, pp. 427-436, 1970.
4. L. Silverman, “Realization of linear dynamical systems,” IEEE Trans. Automat. Contr., vol. AC-16, pp. 554-567, Dec. 1971.
5. J. L. Massey, “Shift-register synthesis and BCH decoding,” IEEE Trans. Inform. Theory, vol. IT-15, pp. 122-127, 1969.
6. J. Rissanen, “Recursive identification on linear systems,” SIAM J. Contr. vol. 9, pp. 420-430, 1971.
7. B. W. Dickinson, M. Morf, and T. Kailath, “A minimal realization algorithm for matrix sequences,” IEEE Trans. Automat. Contr., vol. AC-19, pp. 31-38, Feb. 1974.
8. K. Y. Wong and E. Polak, “Identification of linear discrete time systems using the instrumental variable method,” IEEE Trans. Automat. Contr., vol. AC-12, pp. 707-718, 1967.
9. G. N. Saridis and G. Stein, “Stochastic approximation algorithms for linear Discrete-Time system identification,” IEEE Trans. Automat. Contr., vol. AC-13, pp. 515-523, 1968.
10. B. Gopinath, “On the identification of linear time-invariant systems from input-output data,” Bell Syst. Tech. J., vol. 48, pp. 1101-1113, 1969.
11. M. A. Budin, “Minimal realization of discrete systems from input-output observations,” IEEE Trans. Automat. Contr., pp. 395-401, 1971.
12. R. Liu and L. C. Suen, “online identification of periodic systems from an input/output data-The deterministic case,” in Proc. IEEE Int. Symp. Circuit and Systems, 1974, pp. 525-527; also, Univ. Notre Dame, Notre Dame, IN, Elec. Eng. Memo EE-7315, 1973.
13. M. A. Budin, “Canonical forms for multi-input/multioutput minimal systems,” IEEE Trans. Automat. Contr., vol. AC-17, p. 554, 1972.
14. C. Bonivento et al., “Irreducible canonical realizations from external data sequences,” Int. J. Contr., vol. 17, pp. 553-563, 1973.
15. M. A. Budin, “A new approach to systems identification and state estimation,” in Proc. 4th Asilomar Conf. Circuits and Systems, 1970, pp. 644-651.
16. C. Bonivento and R. Guidorzi, “Parametric identification of linear multivariable systems,” in 1971 Joint Automatic Control Conf., Preprints, pp. 342-349.
17. R. Liu and L. C. Suen, “The dynamic impact on U.S. economy: Fiscal policy vs monetary policy,” in Proc. 1975 IEEE Int. Symp. Circuits and Systems, 1975, pp. 135-138.
18. R. Liu, Y. C. Chang, K. S. Kim, and L. C. Suen, “An application of MDR method to modeling of gasoline consumption of the United States,” Large-Scale Dynamical Syst., 1976.
19. R. Liu and L. C. Suen, “Minimal dimension realization and identifiability of input/output sequences,” Univ. Notre Dame, Notre Dame, IN, Elec. Eng. Memo 7504, Apr. 1975.