On Riccati Equations in Banach Algebras

DOI10.1137/100806011zbMath1223.46050arXiv1008.3462OpenAlexW2087925317MaRDI QIDQ3021258

Ruth F. Curtain, Amol J. Sasane

Publication date: 22 July 2011

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

Full work available at URL: https://arxiv.org/abs/1008.3462

zbMATH Keywords

optimal controlRiccati equationsBanach algebrassystems over ringsspatially distributed dynamical systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) General theory of commutative topological algebras (46J05)

Related Items (7)

Solvability of the \(H ^{\infty }\) algebraic Riccati equation in Banach algebras ⋮ Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems ⋮ Bounding error of calculating the matrix functions ⋮ Decay properties for functions of matrices over \(C^\ast\)-algebras ⋮ Analytic and algebraic properties of Riccati equations: a survey ⋮ Algebraic characterization of approximate controllability of behaviours of spatially invariant systems ⋮ Sparsity and Spatial Localization Measures for Spatially Distributed Systems

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