The infinite-dimensional Riccati equation

DOI10.1016/0022-247X(74)90035-3zbMath0279.93048OpenAlexW2026417854MaRDI QIDQ1843524

Ruth F. Curtain, Anthony J. Pritchard

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(74)90035-3

Mathematics Subject Classification ID

Estimation and detection in stochastic control theory (93E10)

Related Items (12)

Asymptotic solution of the singularly perturbed infinite dimensional Riccati equation ⋮ Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory ⋮ On the operator equation \(AX-XB+XDX=C\) ⋮ Existence and comparison theorems for partial differential equations of Riccati type ⋮ Strongly continuous quasi semigroups in optimal control problems for non-autonomous systems ⋮ On convex control problems on infinite intervals ⋮ Unified Riccati Theory for Optimal Permanent and Sampled-Data Control Problems in Finite and Infinite Time Horizons ⋮ Stabilization of control processes in Hilbert spaces ⋮ Integral Operator Riccati Equations Arising in Stochastic Volterra Control Problems ⋮ Suboptimality and stability of linear distributed-parameter systems with finite-dimensional controllers ⋮ Solving algebraic and differential Riccati operator equations ⋮ Boundary problems for Riccati and Lyapunov equations

Cites Work

• A linear control problem in an abstract Hilbert space
• Optimal Control Problems in Banach Spaces
• Stability and Stabilization of Second-order Systems
• The Quadratic Criterion for Distributed Systems
• Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
• Perturbation Theory for Semi-Groups of Linear Operators
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