Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: frequency-dependent scaling induced by static separators

DOI10.1016/j.automatica.2009.10.019zbMath1214.93065OpenAlexW1974107739MaRDI QIDQ985285

Tomomichi Hagiwara, Yasuhiro Ohara

Publication date: 20 July 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.10.019

zbMATH Keywords

robust stability\(\mu\)-analysisquadratic separatorfrequency-dependent \((D,G)\)-scalingnoncausal LPTV scaling

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Robust stability (93D09)

Related Items (11)

Properties of discrete-time noncausal linear periodically time-varying scaling and their relationship with shift-invariance in lifting-timing ⋮ Robust and nonlinear control literature survey (No. 17) ⋮ Robust Performance Controller Synthesis Based on Discrete-Time Noncausal Linear Periodically Time-Varying Scaling ⋮ Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling ⋮ Robust stability analysis with cycling-based LPTV scaling. Part II: its properties under the use of FIR separators ⋮ Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers ⋮ Robustness analysis of uncertain time‐varying systems with unknown initial conditions ⋮ A frequency-domain integral quadratic constraint approach to the analysis of harmonically time-varying systems ⋮ Unified treatment of robust stability conditions for discrete-time systems through an infinite matrix framework ⋮ Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: frequency-dependent scaling induced by static separators ⋮ Block checker/diagonal transformation matrices, their properties, and the interplay with fast-lifting

Cites Work

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• Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: frequency-dependent scaling induced by static separators
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• The complex structured singular value
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• A dual formulation of mixed μ and on the losslessness of (D, G) scaling
• Well-posedness of feedback systems: insights into exact robustness analysis and approximate computations
• Invariant representations of discrete-time periodic systems

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