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Consider the following nonlinear dynamical system: *₁(t) = x₁(t)x₂(t) + x₁(t) + u(t) *₂(t) = x₂(t) y(t) = x₁(t) a. Deter
Posted: Thu May 05, 2022 2:13 pm
by answerhappygod
- Consider The Following Nonlinear Dynamical System T X T X T X T U T T X T Y T X T A Deter 1 (37.17 KiB) Viewed 34 times
Consider the following nonlinear dynamical system: *₁(t) = x₁(t)x₂(t) + x₁(t) + u(t) *₂(t) = x₂(t) y(t) = x₁(t) a. Determine the equilibrium state , 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.