You are currently offline. Some features of the site may not work correctly.

# 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…
Wikipedia

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2003
Highly Cited
2003
Preface 1. Background in linear algebra 2. Discretization of partial differential equations 3. Sparse matrices 4. Basic iterative…
Highly Cited
2001
Highly Cited
2001
• IEEE Trans. Autom. Control.
• 2001
• Corpus ID: 3039238
We show that the coarsest, or least dense, quantizer that quadratically stabilizes a single input linear discrete time invariant…
Highly Cited
1995
Highly Cited
1995
From the Publisher: An extensive revision of the author's highly successful text, this third edition of Linear System Theory and…
Highly Cited
1995
Highly Cited
1995
The following problem is considered: given a matrix $A$ in ${\bf R}^{m \times n}$, ($m$ rows and $n$ columns), a vector $b$ in…
Review
1992
Review
1992
Mathematical notation and review state equation representation state equation solution transition matrix properties two important…
Highly Cited
1990
Highly Cited
1990
• 1990
• Corpus ID: 2684962
Multi-layered neural networks offer an exciting alternative for modelling complex non-linear systems. This paper investigates the…
Highly Cited
1986
Highly Cited
1986
• 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…
Highly Cited
1971
Highly Cited
1971
• 1971
• Corpus ID: 121201566
theory for ASM. In the following we characterize the ASM preconditioner B by three parameters: C0 , ρ(E) , and ω , which enter…
Highly Cited
1964
Highly Cited
1964
• 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…
Highly Cited
1952
Highly Cited
1952
• 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…