Stability analysis for time-varying systems via quadratic constraints

DOI10.1016/j.sysconle.2011.06.007zbMath1226.93113OpenAlexW2059808457MaRDI QIDQ643689

Liu Liu, Yu Feng Lu

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.06.007

zbMATH Keywords

stabilitytime-varying systemnest algebragap metriccompletely finiteconnected uncertainty setquadratic constraint

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Algebraic methods (93B25)

Related Items (12)

Simultaneously stabilizing controllers subject to QI subspace constraints ⋮ Discussion on: ``The reliable stabilization problem for discrete time-varying linear systems ⋮ 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 ⋮ Stability analysis for the two-port networked control systems within the framework of nest algebra ⋮ Stabilizability, representations and factorizations for time-varying linear systems ⋮ <scp>QC</scp> Characterizations for the Closed‐loop Stability of Time‐varying Linear Systems ⋮ Finite-time quantised feedback asynchronously switched control of sampled-data switched linear systems ⋮ Networked Robust Stability for LTV Systems with Simultaneous Uncertainties in Plant, Controller, and Communication Channels ⋮ QCs characterization of robust stability with simultaneous uncertainties in plant and controller ⋮ Bicoprime factor stability criteria for linear time-varying systems in the nest algebra ⋮ Event-triggered observer-based H_∞ control of switched linear systems with time-varying delay

Uses Software

• YALMIP

Cites Work

• On stabilization for discrete linear time-varying systems
• The gap metric for time-varying systems
• Robust control theory in Hilbert space
• The time-varying gap and coprime factor perturbations
• Topological stable rank of nest algebras
• Robust Stability of Feedback Systems: A Geometric Approach Using the Gap Metric
• IQC robustness analysis for time-delay systems
• System analysis via integral quadratic constraints
• The gap metric: Robustness of stabilization of feedback systems
• Unnamed Item

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