Question

Find whether the given direction s at the point x is descent for the function $f(x_1, x_2) = 2x_1^2+x_2^2-2x_1x_2+4$, $s=(1, 1)^T, x=(2, 3)^T$

Answer 1

For a Given system $\dot{x}_1 = x_1^2+x_2-2, \dot{x}_2=x_1+x_2$ Explain clearly Input - Output linearization and Input state linearization.