Normalized doubly coprime factorizations for infinite-dimensional linear systems

DOI10.1007/s00498-005-0158-3zbMath1105.93052OpenAlexW2152043835WikidataQ114229216 ScholiaQ114229216MaRDI QIDQ818837

Mark R. Opmeer, Ruth F. Curtain

Publication date: 21 March 2006

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-005-0158-3

zbMATH Keywords

Riccati equationsNehari problemStabilityStabilizabilityLyapunov equationsCoprime factorizationsBezout equationsInfinite-dimensional linear systemsOperator nodesRegular linear systemsWell-posed linear Systems

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25)

Related Items (6)

A Kleinman-Newton construction of the maximal solution of the infinite-dimensional control Riccati equation ⋮ Stabilizability, representations and factorizations for time-varying linear systems ⋮ Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems ⋮ Weakly coprime factorization and state-feedback stabilization of discrete-time systems ⋮ Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems ⋮ Sparsity and Spatial Localization Measures for Spatially Distributed Systems

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