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Linear system

Known as: Linear (disambiguation), Linear systems, Linear theory 
A linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties… Expand
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Related topics

Related topics

44 relations
Automatic controlBIBO stabilityBackpropagationBuchberger's algorithm
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Broader (1)

Systems theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2003
Highly Cited
2003
Iterative methods for sparse linear systems
Preface 1. Background in linear algebra 2. Discretization of partial differential equations 3. Sparse matrices 4. Basic iterative… Expand
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Highly Cited
2001
Highly Cited
2001
Stabilization of linear systems with limited information
We show that the coarsest, or least dense, quantizer that quadratically stabilizes a single input linear discrete time invariant… Expand
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Highly Cited
1995
Highly Cited
1995
Linear System Theory and Design
From the Publisher: An extensive revision of the author's highly successful text, this third edition of Linear System Theory and… Expand
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Highly Cited
1995
Highly Cited
1995
Sparse Approximate Solutions to Linear Systems
The following problem is considered: given a matrix $A$ in ${\bf R}^{m \times n}$, ($m$ rows and $n$ columns), a vector $b$ in… Expand
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Highly Cited
1990
Highly Cited
1990
Non-linear system identification using neural networks
Multi-layered neural networks offer an exciting alternative for modelling complex non-linear systems. This paper investigates the… Expand
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Highly Cited
1986
Highly Cited
1986
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
We present an iterative method for solving linear systems, which has the property of minimizing at every step the norm of the… Expand
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Highly Cited
1985
Highly Cited
1985
Two-Dimensional Linear Systems
In the last two decades considerable effort and progress have been made in the two-dimensional (2D) and multidimensional systems… Expand
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Highly Cited
1971
Highly Cited
1971
Iterative Solution of Large Linear Systems.
theory for ASM. In the following we characterize the ASM preconditioner B by three parameters: C0 , ρ(E) , and ω , which enter… Expand
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Highly Cited
1964
Highly Cited
1964
Observing the State of a Linear System
  • D. Luenberger
  • IEEE Transactions on Military Electronics
  • 1964
    • Corpus ID: 51668186
In much of modern control theory designs are based on the assumption that the state vector of the system to be controlled is… Expand
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Highly Cited
1952
Highly Cited
1952
Methods of conjugate gradients for solving linear systems
An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns. The solution is given in n steps… Expand
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