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

DOI10.1080/00207179.2016.1206971zbMath1367.93474OpenAlexW2474678703MaRDI QIDQ5348291

Tomomichi Hagiwara, Mitsuaki Miyamoto, Yohei Hosoe

Publication date: 15 August 2017

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

Full work available at URL: https://doi.org/10.1080/00207179.2016.1206971

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)

Cites Work

• Unified treatment of robust stability conditions for discrete-time systems through an infinite matrix framework
• 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 Kalman-Yakubovich-Popov lemma
• The complex structured singular value
• On the Sensitivity Minimization Problem for Linear Time-Varying Periodic Systems
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Well-posedness of feedback systems: insights into exact robustness analysis and approximate computations
• Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling
• Invariant representations of discrete-time periodic systems

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