Consider the following nonlinear dynamical system: x₁(t)x₂(t) + x₁(t) + u(t) 1 (t) = *₂(t) = x₂(t) y(t) = x₁(t) a. Deter
Posted: Thu May 05, 2022 2:12 pm
Consider the following nonlinear dynamical system: x₁(t)x₂(t) + x₁(t) + u(t) 1 (t) = *₂(t) = x₂(t) y(t) = x₁(t) a. Determine the equilibrium state , given the equilibrium input û = 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.