Structure and parametrization of periodic linear systems

DOI10.1007/s00498-011-0062-yzbMath1248.93034OpenAlexW1967784322MaRDI QIDQ661034

Erik I. Verriest, Uwe R. Helmke

Publication date: 6 February 2012

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-011-0062-y

zbMATH Keywords

invariantsparametrizationcanonical formstopologydiscrete-time periodic systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Canonical structure (93B10)

Related Items (6)

Minimal representations of MIMO time-varying systems and realization of cyclostationary models. ⋮ Structure and parametrization of periodic linear systems ⋮ Computation of Kalman decompositions of periodic systems ⋮ Geometric tools for solving the FDI problem for linear periodic discrete-time systems ⋮ Periodic systems: a sequence algebra approach to realisation, parameterisation and topology ⋮ Discussion on: ``Computation of Kalman decompositions of periodic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structure and parametrization of periodic linear systems
• A new shift-invariant representation for periodic linear systems
• Periodic systems. Filtering and control
• Time series and linear systems
• Pole placement for nonreachable periodic discrete-time systems
• On the desingularization of the unipotent variety
• A periodically time-varying minimal partial realization algorithm based on twisting
• A polynomial approach to deriving a state-space model of a periodic process described by difference equations
• Discrete-time linear periodic realization in the frequency domain
• When is a periodic discrete-time system equivalent to a time-invariant one?
• Minimal representations of MIMO time-varying systems and realization of cyclostationary models.
• The topology of a moduli space for linear dynamical systems
• The realization problem for linear periodic systems
• A canonical decomposition of linear periodic discrete-time systems
• Discrete-time linear periodic systems: gramian and modal criteria for reachability and controllability†
• Minimal periodic realizations of transfer matrices
• Classification of Linear Periodic Difference Equations under Periodic or Kinematic Similarity

This page was built for publication: Structure and parametrization of periodic linear systems