Gap Metrics for Linear Time-Varying Systems

DOI10.1137/16M1092775OpenAlexW2789483533WikidataQ130151161 ScholiaQ130151161MaRDI QIDQ4608229

Michael Cantoni, Muhammad Saeed Akram

Publication date: 16 March 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1092775

zbMATH Keywords

robust stability analysisfeedback interconnectionsinput-output methods

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Robust stability (93D09) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items

Stability analysis for the two-port networked control systems within the framework of nest algebra ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extension of the \(\nu\)-metric
• Uniformly optimal control of linear time-varying systems
• The gap metric for time-varying systems
• On robustness in the gap metric and coprime factor uncertainty for LTV systems
• On the computation of the gap metric
• Interpolation problems in nest algebras
• Robust control theory in Hilbert space
• The time-varying gap and coprime factor perturbations
• Gap metrics for time-varying linear systems in a continuous-time setting
• Frequency domain uncertainty and the graph topology
• The graph metric for unstable plants and robustness estimates for feedback stability
• The distance to upper triangular operators
• Robust stabilization in the gap metric: controller design for distributed plants
• Robust Stability of Feedback Systems: A Geometric Approach Using the Gap Metric
• Optimal robustness in the gap metric
• Robust Stability Analysis for Feedback Interconnections of Time-Varying Linear Systems
• Gap-Metric Robustness Analysis of Linear Periodically Time-Varying Feedback Systems
• The gap metric: Robustness of stabilization of feedback systems
• Linear feedback systems and the graph topology
• An Intrinsic Behavioral Approach to the Gap Metric
• Robustness Analysis for Feedback Interconnections of Distributed Systems via Integral Quadratic Constraints
• Distance between Behaviors and Rational Representations