On the computation of the gap metric for LTV systems

DOI10.1016/j.sysconle.2007.04.008zbMath1120.93046OpenAlexW1981608808MaRDI QIDQ2382605

Seddik M. Djouadi, Yan-Yan Li

Publication date: 1 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2007.04.008

zbMATH Keywords

Robust controlOptimal controlRobust stabilizationTime-varying

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Duality theory (optimization) (49N15)

Related Items

On robustness in the gap metric and coprime factor uncertainty for LTV systems

Cites Work

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• The gap metric for time-varying systems
• Sufficient conditions for robust BIBO stabilization: Given by the gap metric
• On the computation of the gap metric
• Robust control theory in Hilbert space
• Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty
• Commutators with the Triangular Projection and Hankel Forms on Nest Algebras
• Linear Control Theory with an ${\bf H}_\infty $ Optimality Criterion
• Robust stabilization in the gap metric: controller design for distributed plants
• Analysis of time-varying control strategies for optimal disturbance rejection and robustness
• Robust Stability of Feedback Systems: A Geometric Approach Using the Gap Metric
• Stabilizability and Existence of System Representations for Discrete-Time Time-Varying Systems
• Optimal robustness in the gap metric
• Optimal robust disturbance attenuation for continuous time-varying systems
• Linear feedback systems and the graph topology
• Convex Programming and Duality in Normed Space