Consider the following nonlinear dynamical system: *₁(t) = x₁(t)x₂ (t) + x₁(t) + u(t) *2₂(t) = x₂(t) y(t) = x₁(t) a. Det
Posted: Thu May 05, 2022 2:13 pm
Consider the following nonlinear dynamical system: *₁(t) = x₁(t)x₂ (t) + x₁(t) + u(t) *2₂(t) = x₂(t) y(t) = x₁(t) a. Determine the equilibrium state ī, given the equilibrium input ū = 0. b. At the equilibrium point just found, calculate (A, B, C, D) of the linearized system. c. Study the stability of the equilibrium point using Lyapunov's indirect method.