Parallel and large-scale matrix computations in control: Some ideas

DOI10.1016/0024-3795(89)90705-2zbMath0681.65046OpenAlexW2042471311MaRDI QIDQ1823622

Biswa Nath Datta

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90705-2

zbMATH Keywords

parallel algorithmsSylvester matrix equationsingle-input systemslarge-scale linear control problemslarge-scale Luenberger observerspole assignment algorithms

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Pole and zero placement problems (93B55) Matrix equations and identities (15A24) Large-scale systems (93A15)

Related Items

Methods and algorithms of solving spectral problems for polynomial and rational matrices, Feedback stabilization of a second-order system: A nonmodal approach, On eigenvalue and canonical form assignments, Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian, Linear and numerical linear algebra in control theory: Some research problems, An algorithm for the multiinput pole assignment problem

Cites Work

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• The Lanczos-Arnoldi algorithm and controllability
• The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems
• The matrix equation \(XA-BX=R\) and its applications
• Synthesis of linear systems with desired equivalent form
• Fast projection methods for minimal design problems in linear system theory
• Controllability, observability and the solution of AX-XB=C
• Pole assignment via Sylvester's equation
• Numerical linear algebra aspects of control design computations
• Robust and well-conditioned eigenstructure assignment via sylvester's equation
• An iterative pole-placement algorithm
• Numerically Stable Solution of Dense Systems of Linear Equations Using Mesh-Connected Processors
• Pole assignment in real Schur form
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An algorithm to assign eigenvalues in a Hessenberg matrix: Single input case
• Projection and deflation method for partial pole assignment in linear state feedback
• Properties of numerical algorithms related to computing controllability
• Computation of minimal-order state-space realizations and observability indices using orthogonal transformations
• On structural decomposition and stabilization of large-scale control systems
• A Schur method for pole assignment
• Using the Hessenberg decomposition in control theory
• Trends in large space structure control theory: Fondest hopes, wildest dreams
• On pure structure of dynamic systems
• On Stable Parallel Linear System Solvers
• Direct Solution of Sets of Linear Equations whose Matrix is Sparse, Symmetric and Indefinite
• Modal control of linear time invariant systems
• On Jacobi and Jacobi-Like Algorithms for a Parallel Computer
• The principle of minimized iterations in the solution of the matrix eigenvalue problem