A new shift-invariant representation for periodic linear systems

DOI10.1016/0167-6911(91)90093-TzbMath0729.93034OpenAlexW2004870540MaRDI QIDQ807544

David S. Flamm

Publication date: 1991

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90093-t

zbMATH Keywords

discrete-time systemsshift-invariant representations

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items (19)

Analysis of periodic linear systems over finite fields with and without Floquet transform ⋮ Time-invariant representation of discrete periodic systems ⋮ Robust output regulation and tracking for linear periodic systems under structured uncertainties ⋮ Fourier state-space analysis of linear discrete-time periodic systems ⋮ State-space forms for higher-order discrete-time models ⋮ A period-specific realization of linear continuous-time systems ⋮ A technique for the identification of linear periodic state-space models ⋮ Attractors and limit cycles of discrete-time switching affine systems: nominal and uncertain cases ⋮ MPC of constrained discrete-time linear periodic systems -- a framework for asynchronous control: strong feasibility, stability and optimality via periodic invariance ⋮ Structure and parametrization of periodic linear systems ⋮ Invariant representations of discrete-time periodic systems ⋮ Computing the zeros of periodic descriptor systems ⋮ Simultaneous LQ optimal control for periodic discrete-time systems ⋮ Unnamed Item ⋮ Computation of transfer function matrices of periodic systems ⋮ Output regulation, tracking and nominal decoupling with stability for uncertain linear periodic systems ⋮ Unnamed Item ⋮ Deformations for linear periodic discrete-time systems: the adjoint normal form ⋮ Periodic systems: a sequence algebra approach to realisation, parameterisation and topology

Cites Work

• Application of the Feigenbaum-Sharkovskiĭ-Magnitskiĭ theory to the analysis of Hamiltonian systems
• A unified approach to the theory of sampling systems
• Robust control of linear time-invariant plants using periodic compensation
• Stability theory for linear time-invariant plants with periodic digital controllers

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