# Linearization

(redirected from Local linearization)
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## linearization

[‚lin·ē·ər·ə′zā·shən]
(control systems)
The modification of a system so that its outputs are approximately linear functions of its inputs, in order to facilitate analysis of the system.
The mathematical approximation of a nonlinear system, whose departures from linearity are small, by a linear system corresponding to small changes in the variables about their average values.
(cell and molecular biology)
Conversion of a circular deoxyribonucleic acid molecule into a linear molecule.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Linearization

a method of approximate representation of closed nonlinear systems in which the study of a nonlinear system is replaced by analysis of a linear system that is equivalent in some sense to the original system. Linearization methods are limited—that is, the equivalence of the original, nonlinear system and its linear approximation is valid only for a certain “mode” of system operation. If the system moves from one operational mode to another, the linearized model must be changed correspondingly. Methods of linearization may be used to ascertain many qualitative and, in particular, quantitative properties of a nonlinear system.

### REFERENCES

Popov, E. P., and I. P. Pal’tov. Priblizhennye metody issledovaniia nelineinykh avtomaticheskikh sistem. Moscow, 1960.
Pervozvanskii, A. A. Sluchainye protsessy v nelineinykh avtomaticheskikh sistemakh. Moscow, 1962.
Osnovy avtomaticheskogo upravleniia. Edited by V. S. Pugachev. Moscow, 1963.
References in periodicals archive ?
According to the theory of the local linearization of nonlinear systems, a simple and novel validity index is used to split the sample data into several subsets with the adaptive-clustering algorithm.
An inexact ADM iteration using local linearization and proximity technique is adopted to avoid the pseudoinverse calculation.
The classical approach for trajectory-tracking of underactuated vehicles utilizes local linearization and decoupling of the multivariable model to steer the same number of degrees of freedom as the number of available control inputs, which can be done using standard linear (or nonlinear) control methods.

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