A new characterization of invariant subspaces of \(H^{2}\) and applications to the optimal sensitivity problem

DOI10.1016/j.sysconle.2004.10.004zbMath1129.93375OpenAlexW2134684298MaRDI QIDQ2504553

Yutaka Yamamoto, Kenji Kashima

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2004.10.004

zbMATH Keywords

infinite-dimensional systems\(H^{\infty }\) controloptimal sensitivityBeurling--Lax theorempseudorational transfer function

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) (H^infty)-control (93B36) Invariant subspaces of linear operators (47A15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Computation of H_∞ controllers for infinite dimensional plants using numerical linear algebra ⋮ On standard \(H^{\infty }\) control problems for systems with infinitely many unstable poles ⋮ A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants ⋮ A new expression for the \(H^2\) performance limit based on state-space representation ⋮ Coprime-inner/outer factorization of SISO time-delay systems and FIR structure of their optimal H-infinity controllers

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