On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems

DOI10.1007/BF01208348zbMath0826.93034OpenAlexW2022968366MaRDI QIDQ1893854

Frank M. Callier, Laurence Dumortier, Joseph J. Winkin

Publication date: 12 July 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208348

zbMATH Keywords

infinite-dimensional systemsoperator Riccati equationHilbert state spacesemigroup invariant subspaces

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Operator-theoretic methods (93B28) Linear-quadratic optimal control problems (49N10) Control/observation systems in abstract spaces (93C25)

Related Items (6)

A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems ⋮ On the Newton-Kleinman method for strongly stabilizable infinite-dimensional systems ⋮ Realization of non-Fourier phenomena in heat transfer with 2D transfer function ⋮ Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations ⋮ Partially stabilizing LQ-optimal control for stabilizable semigroup systems ⋮ The infinite-time admissibility of observation operators and operator Lyapunov equations

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