Decay of Hankel singular values of analytic control systems

DOI10.1016/j.sysconle.2010.07.009zbMath1205.93075OpenAlexW2017847204MaRDI QIDQ609527

Mark R. Opmeer

Publication date: 1 December 2010

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

Full work available at URL: http://opus.bath.ac.uk/22172/1/Opmeer_S%26CL_2010_59_10_635.pdf

zbMATH Keywords

infinite-dimensional systemsHankel operatormodel order reduction

Mathematics Subject Classification ID

Canonical structure (93B10) Control/observation systems in abstract spaces (93C25)

Related Items (8)

Decay of singular values for infinite-dimensional systems with Gevrey regularity ⋮ On the Approximability of Koopman-Based Operator Lyapunov Equations ⋮ A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems ⋮ On the eigenvalue decay of solutions to operator Lyapunov equations ⋮ Numerical study of polynomial feedback laws for a bilinear control problem ⋮ Benchmark problems for continuous-time model identification: design aspects, results and perspectives ⋮ 2 Balancing-related model reduction methods ⋮ High order approximations of the operator Lyapunov equation have low rank

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• Hankel operators that commute with second-order differential operators
• Caractérisation de quelques espaces d'interpolation
• Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• One-Parameter Semigroups for Linear Evolution Equations

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