论文信息 - Identifiability and persistent excitation in full matrix fraction parameter estimation

Identifiability and persistent excitation in full matrix fraction parameter estimation

This paper analyzes the identifiability of the full matrix fraction description of multivariable systems and provides a lower bound on the persistence of excitation of the input-output pair in terms of the persistence of excitation of the input.

Gilead Tadmor | P. O. Arambel

[1] Michel Gevers,et al. Uniquely identifiable state-space and ARMA parametrizations for multivariable linear systems , 1984, Autom..

[2] Lennart Ljung,et al. System Identification: Theory for the User , 1987 .

[3] E. Hannan. The identification of vector mixed autoregressive-moving average system , 1969 .

[4] Petre Stoica,et al. Generalized Yule-Walker equations and testing the orders of multivariate time series , 1983 .

[5] Howard L. Weinert,et al. Structure determination and parameter identification for multivariable stochastic linear systems , 1975 .

[6] Graham C. Goodwin,et al. Adaptive filtering prediction and control , 1984 .

[7] Roberto Guidorzi,et al. Invariants and canonical forms for systems structural and parametric identification , 1981, Autom..

[8] Robert R. Bitmead,et al. Persistence of excitation conditions and the convergence of adaptive schemes , 1984, IEEE Trans. Inf. Theory.

[9] József Bokor,et al. ARMA canonical forms obtained from constructibility invariants , 1987 .

[10] Petre Stoica,et al. Decentralized Control , 2018, The Control Systems Handbook.

[11] C. Richard Johnson,et al. Exponential convergence of adaptive identification and control algorithms , 1981, Autom..

[12] P. V. D. Hof. System order and structure indices of linear systems in polynomial form , 1992 .