- A Nonlinear System With 2 Equilibrium Points Is Defined By The Following State Space Model A Find The Equilibrium Poin 1 (132.59 KiB) Viewed 26 times
A nonlinear system with 2 equilibrium points is defined by the following state space model: a. Find the equilibrium poin
-
answerhappygod
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
A nonlinear system with 2 equilibrium points is defined by the following state space model: a. Find the equilibrium poin
A nonlinear system with 2 equilibrium points is defined by thefollowing state space model:a. Find the equilibrium points of the system and linearize thesystem at each equilibrium point,b. Find eigenvalues of each linearized system and find eigenvectorsof each linearized system,c. Draw phase plane plot of the system by its linearizedasymptotes:
x₁ (t) = -18x₁ (t) + 6x²(t) + 7x₂(t) = x²(t) - x₂ (t) = 3x₁₂ (t) = x₂(t)
x₁ (t) = -18x₁ (t) + 6x²(t) + 7x₂(t) = x²(t) - x₂ (t) = 3x₁₂ (t) = x₂(t)