Show transcribed image text Exercise 2.11 For the nonlinear state equation -x2(t) + u( x 1(t)-2×2(1) x(t) = 1 k(t) = | Xi (t)u (t)-2×2(t)u (t) y(t) =x3(t) show that for every constant nominal input u(t) , t 0, there exists a constant nominal trajectory x(t) = x, t 20. What is the nominal output y in terms of u? Explain. Linearize the state equation about an arbitrary constant nominal. If 1-0 and xs(0) = 0, what is the response ys(t) of the linearized state equation for any us(o)? (Solution of the linear state equation is not needed.)