Sparse solution of the Lyapunov equation for large-scale interconnected systems
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Publication:2409310
DOI10.1016/j.automatica.2016.06.002zbMath1371.93029arXiv1408.3898OpenAlexW2198697385MaRDI QIDQ2409310
Aleksandar Haber, Verhaegen, Michel
Publication date: 11 October 2017
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3898
complex systemslarge-scale Lyapunov equationlarge-scale optimization problems and methodsremote and distributed control
Related Items (10)
Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data ⋮ Solving Rank-Structured Sylvester and Lyapunov Equations ⋮ Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure ⋮ Localization in Matrix Computations: Theory and Applications ⋮ Input matrix construction and approximation using a graphic approach ⋮ A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions ⋮ Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations ⋮ Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control ⋮ Sparsity preserving optimal control of discretized PDE systems ⋮ Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices
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Cites Work
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- Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- On the numerical solution of large-scale sparse discrete-time Riccati equations
- Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices
- The autonomous linear quadratic control problem. Theory and numerical solution
- Approximate sparsity patterns for the inverse of a matrix and preconditioning
- Bounds for the entries of matrix functions with applications to preconditioning
- On the controllability and observability of networked dynamic systems
- On the finite section method for computing exponentials of doubly-infinite skew-Hermitian matrices
- On the decay of the inverse of matrices that are sum of Kronecker products
- Chebyshev series expansion of inverse polynomials
- On inexact Newton methods based on doubling iteration scheme for symmetric algebraic Riccati equations
- Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
- Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow
- Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure
- Fundamental Limits and Tradeoffs on Disturbance Propagation in Linear Dynamical Networks
- Subspace Identification of Large-Scale Interconnected Systems
- Robust Stability Analysis of Sparsely Interconnected Uncertain Systems
- Numerical Solution of Algebraic Riccati Equations
- Design of structured dynamic output-feedback controllers for interconnected systems
- An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
- Inexact Kleinman–Newton Method for Riccati Equations
- Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
- Filtering and System Identification
- A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation
- Decay Rates for Inverses of Band Matrices
- ARPACK Users' Guide
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Approximate Inverse Preconditioners via Sparse-Sparse Iterations
- A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
- Distributing the Kalman Filter for Large-Scale Systems
- Weighted steepest descent method for solving matrix equations
- Design of Low-Bandwidth Spatially Distributed Feedback
- Optimal Control of Spatially Distributed Systems
- Distributed control design for spatially interconnected systems
- Distributed control of spatially invariant systems
- On the ill-posedness of certain vehicular platoon control problems
- Efficient approximation of the exponential operator for discrete 2D advection–diffusion problems
- Augmented Lagrangian Approach to Design of Structured Optimal State Feedback Gains
- Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback
- Design of Optimal Sparse Feedback Gains via the Alternating Direction Method of Multipliers
- Coordinated One-Step Optimal Distributed State Prediction for a Networked Dynamical System
- Communication Delay Co-Design in $\mathcal{ H}_{2}$-Distributed Control Using Atomic Norm Minimization
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