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2.4.2 Linearization Using Taylor Series Expansion – Multiple Independent Variables
ОглавлениеA nonlinear function f(x,y,…) of several variables x, y, … can be expanded into an infinite sum of terms of that function’s derivatives evaluated at operating point xo, yo, …:
(2.4)
Over some range of (x – xo), (y – yo), … higher-order terms can be neglected and a linear model is a sufficiently good approximation of the nonlinear model in the vicinity of the operating point:
(2.5)
where
(2.6)
