A Kleinman-Newton construction of the maximal solution of the infinite-dimensional control Riccati equation

DOI10.1016/j.automatica.2017.08.030zbMath1375.93063OpenAlexW2754597169MaRDI QIDQ1678623

Orest V. Iftime, Ruth F. Curtain, Hans J. Zwart

Publication date: 17 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.08.030

zbMATH Keywords

infinite-dimensional systemsRiccati equationsmaximal solutionstrong stabilizabilityKleinman-Newton method

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems in abstract spaces (93C25)

Related Items (2)

Optimal linear-quadratic control of asymptotically stabilizable systems using approximations ⋮ In memoriam Ruth Curtain

Cites Work

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• Comparison theorems for infinite-dimensional Riccati equations
• Normalized doubly coprime factorizations for infinite-dimensional linear systems
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• Riccati equations for strongly stabilizable bounded linear systems
• On the Newton-Kleinman method for strongly stabilizable infinite-dimensional systems
• Mesh Independence of Kleinman–Newton Iterations for Riccati Equations in Hilbert Space
• Strongly Stabilizable Distributed Parameter Systems
• A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems
• On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems

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