Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator
From MaRDI portal
Publication:406633
DOI10.1007/s00498-014-0124-zzbMath1294.93047OpenAlexW2056655899MaRDI QIDQ406633
Publication date: 8 September 2014
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: http://oatao.univ-toulouse.fr/10684/1/Haine_10684.pdf
Controllability (93B05) Feedback control (93B52) Observability (93B07) Control/observation systems in abstract spaces (93C25)
Related Items
Iterative observer-based state and parameter estimation for linear systems, Output error minimizing back and forth nudging method for initial state recovery, Detectability and state estimation for linear age-structured population diffusion models, Numerical observers with vanishing viscosity for the 1d wave equation, Time reversal method with stabilizing boundary conditions for Photoacoustic tomography, Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains, State reconstruction of the wave equation with general viscosity and non-collocated observation and control, Simplified conditions of initial observability for infinite-dimensional second-order damped dynamical systems, Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovering the initial state of an infinite-dimensional system using observers
- A time reversal based algorithm for solving initial data inverse problems
- Diffusive back and forth nudging algorithm for data assimilation
- Joint state and parameter estimation for distributed mechanical systems
- Some theoretical problems on variational data assimilation
- Uniformly exponentially stable approximations for a class of damped systems
- Time discrete wave equations: boundary observability and control
- Functional analysis, Sobolev spaces and partial differential equations
- Regular linear systems with feedback
- Transfer functions of regular linear systems. III: Inversions and duality
- Exponential convergence of an observer based on partial field measurements for the wave equation
- On optimal solution error covariances in variational data assimilation problems
- Back and forth nudging algorithm for data assimilation problems
- Backstepping observers for a class of parabolic PDEs
- Optimizability and Estimatability for Infinite-Dimensional Linear Systems
- Adjoint to the Hessian derivative and error covariances in variational data assimilation
- Boundary Controllers and Observers for the Linearized Schrödinger Equation
- Well-posedness and regularity for non-uniform Schrödinger and Euler-Bernoulli equations with boundary control and observation
- Exponential stabilization of well-posed systems by colocated feedback
- The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
- Mathematics of thermoacoustic tomography
- Time Reversal Focusing of the Initial State for Kirchhoff Plate
- Impedance-Acoustic Tomography
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Realization theory in Hilbert space
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Locally Distributed Control and Damping for the Conservative Systems
- Nonlinear observers in reflexive Banach spaces
- Transfer functions of regular linear systems Part II: The system operator and the Lax–Phillips semigroup
- Exponential Stabilization of a Rayleigh Beam Using Collocated Control
- On the well-posedness and regularity of the wave equation with variable coefficients