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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.
REFERENCESPopov, 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.