论文信息 - Minimal dimension realization versus minimal realization and a correction to "Minimal dimension realization and identifiability of input-output sequences"

Minimal dimension realization versus minimal realization and a correction to "Minimal dimension realization and identifiability of input-output sequences"

A minimal dimension realization is a realization, with minimal dimension, from a given input-output sequence; while a minimal realization is one from a given transfer function. It is known that minimal realizations are reachable and observable, and are unique up to an isomorphism. On the other hand, minimal dimension realizations are unique up to an isomorphism if and only if the I/O sequence is identifiable. Every minimal dimension realization is observable. However, not every minimal dimension realization is reachable, even when the I/O sequence is identifiable.

L.-C. Suen | R. Liu | L. Suen | R. Liu

[1] R. Guidorzi,et al. Irreducible canonical realizations from external data sequences , 1973 .

[2] Canonical forms for multi input/multi output minimal systems , 1972, CDC 1972.

[3] James L. Massey,et al. Shift-register synthesis and BCH decoding , 1969, IEEE Trans. Inf. Theory.

[4] Β. L. HO,et al. Editorial: Effective construction of linear state-variable models from input/output functions , 1966 .

[5] A. Tether. Construction of minimal linear state-variable models from finite input-output data , 1970 .

[6] L. Silverman. Realization of linear dynamical systems , 1971 .

[7] G. Saridis,et al. Stochastic approximation algorithms for linear discrete-time system identification , 1967 .

[8] B. Dickinson,et al. A minimal realization algorithm for matrix sequences , 1973, CDC 1973.

[9] M. Budin. Minimal realization of discrete linear systems from input-output observations , 1971 .

[10] B. Gopinath. On the identification of linear time-invariant systems from input-output data , 1969 .

[11] R. Guidorzi,et al. Parametric identification of linear multivariable systems , 1971 .

[12] Michael A. Budin,et al. A New Approach to System Identification and State Estimation , 1972, IEEE Trans. Syst. Man Cybern..

[13] Kwan Wong,et al. Identification of linear discrete time systems using the instrumental variable method , 1967, IEEE Transactions on Automatic Control.