# Linearization Of Nonlinear Systems About Equilibrium Point

Linearization Of Nonlinear Systems About Equilibrium Point. The behavior of a nonlinear system at a given operating point, $$x=x_0$$, is approximated by plotting a tangent line to the graph of $$f\left(x\right)$$ at that point. The problem is that in general real life problems may only be.

Such a nonlinear algebraic system may already be difficult (or even impossible) to solve explicitly; The equilibria are the points (x_1,x_2) where both f_1(x_1, x_2) = 0 and f_2(x_1, x_2) = 0. The problem is that in general real life problems may only be.

### The Behavior Of A Nonlinear System At A Given Operating Point, $$X=X_0$$, Is Approximated By Plotting A Tangent Line To The Graph Of $$F\Left(X\Right)$$ At That Point.

Recall that only the solutions of linear systems may be found explicitly. The problem is that in general real life problems may only be. The equilibria are the points (x_1,x_2) where both f_1(x_1, x_2) = 0 and f_2(x_1, x_2) = 0.