# nonlinear system

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## nonlinear system

[′nän‚lin·ē·ər ′sis·təm]
(mathematics)
A system in which the interrelationships among the quantities involved are expressed by equations, some of which are not linear.
(science and technology)
A system in which outputs are not linear functions of vectors whose components represent the inputs.
References in periodicals archive ?
After that it was used widely in identification of non-linear systems which one of the examples is presented in [15].
However, in the case of non-linear systems which arise from the discretization of non-linear PDEs other strategies are often used regarding a straightforward implementation as the Picard iteration scheme.
As a consequence of the use and diffusion of the automatic calculus, the solutions to non-linear systems become daily present: see, for example, the weather forecast.
There are three critical characteristics of non-linear systems.
For want of better terminology, this class will be denoted as "general non-linear systems.
Fradkov and Pogromsky (1998) proposed a gradient-based adaptive control schemes to steer a given system to periodic orbits for passive non-linear systems.
Recast the non-linear system into a quasi-LPV form and adequately grid the scheduling parameter space by using the partitioning algorithm presented in The Frozen Point Nonlinearity Measure subsection.
The analogue model of ECSTR is based on the non-linear system of differential equations (1) and (2) as the virtual one.
The non-linear system, a stable non-linear input-output operator N, is assumed to be controlled by a controller Q resulting from the Youla parameterization of all stabilizing controllers of the linear approximation of the process, a stable linear operator L.
The numerical time response solution for the non-linear system is calculated using the Wilson-9 method in conjunction with an iteration procedure.
The result will be an Avid non-linear system that will interoperate with Sony's new line of MPEG-based broadcast equipment.
It has been previously shown (Grewal and Glover, 1976) that the local identifiability of a linearized time-invariant ODE system, about an appropriate rest point, is a sufficient condition for the identifiability of the original non-linear system.

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