Invariant representations of discrete-time periodic systems

DOI10.1016/S0005-1098(00)00087-XzbMath0963.93053OpenAlexW2036023514MaRDI QIDQ5926183

Bittanti, Sergio, Colaneri, Patrizio

Publication date: 12 June 2001

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(00)00087-x

zbMATH Keywords

cyclic representationsdiscrete systemsliftingperiodic systemsperiodic transfer function

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new shift-invariant representation for periodic linear systems
• Zeros and poles of linear periodic multivariable discrete-time systems
• Fully magnetic attitude control for spacecraft subject to gravity gradient
• A periodically time-varying minimal partial realization algorithm based on twisting
• The realization problem for linear periodic systems
• Sampling in digital signal processing and control
• On the zero dynamics of helicopter rotor loads
• Differential equations: Stability, oscillations, time lags
• A Transfer-Function Approach to Linear Time-Varying Discrete-Time Systems
• Robust control of linear time-invariant plants using periodic compensation
• Zeros of discrete-time linear periodic systems
• Optimal and robust controllers for periodic and multirate systems
• The model matching problem for periodic discrete-time systems
• From singular to nonsingular filtering of periodic systems: filling the gap with the spectral interactor matrix

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