A note on the regularity of solutions of infinite dimensional Riccati equations

DOI10.1016/0893-9659(94)90086-8zbMath0810.93043OpenAlexW2033093857MaRDI QIDQ1343541

John A. Burns, Belinda Batten King

Publication date: 4 April 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90086-8

zbMATH Keywords

regularityparabolic partial differential equationsintegral representationalgebraic Riccati equationsHilbert-schmidt operatorsLQR control problemsRiccati operators

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators ⋮ Optimal Sensor Placement: A Robust Approach

Cites Work

• Unnamed Item
• Measuring the strangeness of strange attractors
• Numerical orbits of chaotic processes represent true orbits

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