From time series to linear system, III: Approximate modelling
From MaRDI portal
Publication:1093294
DOI10.1016/0005-1098(87)90120-8zbMath0628.62089OpenAlexW1572079173MaRDI QIDQ1093294
Publication date: 1987
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0005-1098(87)90120-8
complexitylinear systemsmodellingdata reductionmisfitvector time seriesleast squares approximationcorrelation methodsconstruction of approximate multivariable dynamical modelslinear time invariant complete system
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Stochastic systems and control (93E99) Identification in stochastic control theory (93E12) Stochastic systems in control theory (general) (93E03)
Related Items
Online data-enabled predictive control ⋮ Dipolynomial minimal bases and linear systems in AR representation ⋮ Multidimensional behaviors: the state-space paradigm ⋮ The most powerful unfalsified model for data with missing values ⋮ Robust identification and Galois sequences ⋮ Algorithms for global total least squares modelling of finite multivariable time series ⋮ Optimal Hankel-norm identification of dynamical systems ⋮ Worst-case control-relevant identification ⋮ Modelling of uncertain systems via linear programming ⋮ Rational representation of behaviors: Interconnectability and stabilizability ⋮ Modern linear systems theory ⋮ Binet-Cauchy kernels on dynamical systems and its application to the analysis of dynamic scenes ⋮ Subgroups of direct products closely approximated by direct sums ⋮ Every storage function is a state function ⋮ Identification of factor models by behavioural and subspace methods ⋮ Worst-case input-output identification ⋮ Structural stabilization of linear 2D discrete systems using equivalence transformations ⋮ Stability analysis by means of modern linear systems theory ⋮ Multidimensional realisation theory and polynomial system solving ⋮ Axiomatic characterization of linear differential systems (and operators) ⋮ System theory for system identification. ⋮ Quivers, geometric invariant theory, and moduli of linear dynamical systems ⋮ On identification of stable systems and optimal approximation ⋮ Representations of stochastic processes ⋮ Robust input-output stabilization on \(\mathbb Z\) for persistent signals ⋮ A remark on Willems' trajectory characterization of linear controllability ⋮ Identification of stabilizable systems: closed-loop approximation ⋮ More about continuity of dynamical systems ⋮ The behavioral approach as a paradigm for modeling interconnected systems ⋮ Unnamed Item ⋮ Column reduction of polynomial matrices ⋮ System identifiability from finite time series ⋮ When to call a linear system nonnegative ⋮ On the solution of the minimal rational interpolation problem ⋮ A general Hankel-norm approximation scheme for linear recursive filtering ⋮ A two-operator approach to robust stabilization of linear systems on ⋮ Approximation of linear operators in the 2-norm ⋮ Optimal errors-in-variables filtering
Cites Work
