Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling

DOI10.1080/00207179.2016.1206970zbMath1367.93473OpenAlexW2470614712MaRDI QIDQ5348290

Tomomichi Hagiwara, Yohei Hosoe, Mitsuaki Miyamoto

Publication date: 15 August 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2016.1206970

zbMATH Keywords

liftinginfinite matricescyclingrobust stability analysisdiscrete-time LPTV systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (1)

Robust stability analysis with cycling-based LPTV scaling. Part II: its properties under the use of FIR separators

Cites Work

• Unified treatment of robust stability conditions for discrete-time systems through an infinite matrix framework
• Design of linear time-invariant controllers for multirate systems
• Periodic systems. Filtering and control
• Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: frequency-dependent scaling induced by static separators
• On the Sensitivity Minimization Problem for Linear Time-Varying Periodic Systems
• Well-posedness of feedback systems: insights into exact robustness analysis and approximate computations
• Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results
• Invariant representations of discrete-time periodic systems

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