The Infinite-Dimensional Optimal Filtering Problem with Mobile and Stationary Sensor Networks

DOI10.1080/01630563.2014.970647zbMath1316.47024OpenAlexW2321597899WikidataQ57618122 ScholiaQ57618122MaRDI QIDQ5251582

Carlos N. Rautenberg, John A. Burns

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.970647

zbMATH Keywords

filteringRiccati integral equationsoptimal sensor networks

Mathematics Subject Classification ID

Observability (93B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Systems of nonlinear integral equations (45G15) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items

Hybrid domain decomposition filters for advection-diffusion PDEs with mobile sensors, Kernel representation of Kalman observer and associated H-matrix based discretization, Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators, A heterogeneous non-overlapping domain decomposition explicit finite volume method for a real-time hybrid process-state estimator of 3D unsteady advection-diffusion fields, Optimal convergence rates for Galerkin approximation of operator Riccati equations, Optimal Sensor Placement: A Robust Approach, Two-timescale stochastic gradient descent in continuous time with applications to joint online parameter estimation and optimal sensor placement, Detailed simulation of viral propagation in the built environment, Optimal control of a 2D diffusion-advection process with a team of mobile actuators under jointly optimal guidance, Optimal guidance and estimation of a 2D diffusion-advection process by a team of mobile sensors, A bilevel learning approach for optimal observation placement in variational data assimilation, Joint Online Parameter Estimation and Optimal Sensor Placement for the Partially Observed Stochastic Advection-Diffusion Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Optimal measurement trajectories for distributed parameter systems
• The persistence of ideal shock waves
• Controllability of the wave equation with moving point control
• Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators
• Approximation of the Algebraic Riccati Equation in the Hilbert Space of Hilbert–Schmidt Operators
• The Linear Regulator Problem for Parabolic Systems
• Galerkin Approximation for Optimal Linear Filtering of Infinite-Dimensional Linear Systems
• Controllability for Partial Differential Equations of Parabolic Type
• Observability and Related Problems for Partial Differential Equations of Parabolic Type
• Infinite-Dimensional Filtering
• A Survey of Infinite-Dimensional Filtering
• Optimal sensor location problem for a linear distributed parameter system
• Optimal location of measurements for distributed parameter estimation
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
• $L^\infty $-Exact Observability of the Heat Equation with Scanning Pointwise Sensor
• A Reduced Basis Approach to the Design of Low-Order Feedback Controllers for Nonlinear Continuous Systems
• Exact Observability of the Time-Varying Hyperbolic Equation with Finitely Many Moving Internal Observations