Approximation of low rank solutions for linear quadratic control of partial differential equations
From MaRDI portal
Publication:969731
DOI10.1007/s10589-008-9192-7zbMath1192.49030OpenAlexW2087512052MaRDI QIDQ969731
Carmeliza Navasca, Kirsten A. Morris
Publication date: 7 May 2010
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-008-9192-7
Newton-type methods (49M15) Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05)
Related Items
Error bounds in the gap metric for dissipative balanced approximations ⋮ Balanced POD for linear PDE robust control computations ⋮ LQ-optimal boundary control of infinite-dimensional systems with Yosida-type approximate boundary observation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solution of Lyapunov equations by alternating direction implicit iteration
- Iterative solution of the Lyapunov matrix equation
- Solving the linear quadratic optimal control problem for infinite-dimensional systems
- Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
- On the decay rate of Hankel singular values and related issues
- Approximation of the Algebraic Riccati Equation in the Hilbert Space of Hilbert–Schmidt Operators
- Linear-Quadratic Optimal Control of Hereditary Differential Systems: Infinite Dimensional Riccati Equations and Numerical Approximations
- The Linear Regulator Problem for Parabolic Systems
- Efficient Algorithms for Large-Scale Quadratic Matrix Equations
- A Schur method for solving algebraic Riccati equations
- A Comparison of Different Models for Beam Vibrations From the Standpoint of Control Design
- A Numerical Algorithm for Optimal Feedback Gains in High Dimensional Linear Quadratic Regulator Problems
- Alternating Direction Implicit Iteration for Systems with Complex Spectra
- On Damping Mechanisms in Beams
- The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
- An Approximation Theory of Solutions to Operator Riccati Equations for $H^\infty$ Control
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Low Rank Solution of Lyapunov Equations
- A Multilevel Technique for the Approximate Solution of Operator Lyapunov and Algebraic Riccati Equations
- A Variational Calculus Approach to the Modelling of Flexible Manipulators
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Matrix Quadratic Solutions
- Matrix Equation $XA + BX = C$
- Numerical methods for approximating functional gains in LQR boundary control problems
