Noun
linear system (plural linear systems)
A mathematical model of a system based on the use of a linear operator.
A system of non-linear equations can often be approximated by a linear system (see linearization ), a helpful technique when making a mathematical model or computer simulation of a relatively complex system. Source: Internet
In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. Source: Internet
History Probably the first iterative method for solving a linear system appeared in a letter of Gauss to a student of his. Source: Internet
In spite of this, a transfer matrix can be always obtained for any linear system, in order to analyze its dynamics and other properties: each element of a transfer matrix is a transfer function relating a particular input variable to an output variable. Source: Internet
Mathematically, this means that for a causal linear system to be stable all of the poles of its transfer function must have negative-real values, i.e. the real part of each pole must be less than zero. Source: Internet
Practically, such a matrix is almost singular, and the computation of its inverse, or solution of a linear system of equations is prone to large numerical errors. Source: Internet