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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…
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Related topics
Related topics
44 relations
Automatic control
BIBO stability
Backpropagation
Buchberger'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
Y. Saad
2003
Corpus ID: 26325536
Preface 1. Background in linear algebra 2. Discretization of partial differential equations 3. Sparse matrices 4. Basic iterative…
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Highly Cited
2001
Highly Cited
2001
Stabilization of linear systems with limited information
N. Elia
,
S. Mitter
IEEE Transactions on Automatic Control
2001
Corpus ID: 3039238
We show that the coarsest, or least dense, quantizer that quadratically stabilizes a single input linear discrete time invariant…
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Highly Cited
1995
Highly Cited
1995
Linear System Theory and Design
Chi-Tsong Chen
1995
Corpus ID: 60628113
From the Publisher: An extensive revision of the author's highly successful text, this third edition of Linear System Theory and…
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Highly Cited
1995
Highly Cited
1995
Sparse Approximate Solutions to Linear Systems
B. Natarajan
SIAM journal on computing (Print)
1995
Corpus ID: 2072045
The following problem is considered: given a matrix $A$ in ${\bf R}^{m \times n}$, ($m$ rows and $n$ columns), a vector $b$ in…
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Review
1992
Review
1992
Linear System Theory
W. Rugh
1992
Corpus ID: 118305499
Mathematical notation and review state equation representation state equation solution transition matrix properties two important…
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Highly Cited
1990
Highly Cited
1990
Non-linear system identification using neural networks
Sheng Chen
,
S. Billings
,
P. Grant
1990
Corpus ID: 2684962
Multi-layered neural networks offer an exciting alternative for modelling complex non-linear systems. This paper investigates the…
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Highly Cited
1986
Highly Cited
1986
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
Y. Saad
,
M. Schultz
1986
Corpus ID: 18390597
We present an iterative method for solving linear systems, which has the property of minimizing at every step the norm of the…
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Highly Cited
1985
Highly Cited
1985
Two-Dimensional Linear Systems
T. Kaczorek
1985
Corpus ID: 118792055
In the last two decades considerable effort and progress have been made in the two-dimensional (2D) and multidimensional systems…
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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…
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Highly Cited
1952
Highly Cited
1952
Methods of conjugate gradients for solving linear systems
M. Hestenes
,
E. Stiefel
1952
Corpus ID: 2207234
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…
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