![Find an appropriate Lyapunov function for the nonlinear system of differential equations - Mathematics Stack Exchange Find an appropriate Lyapunov function for the nonlinear system of differential equations - Mathematics Stack Exchange](https://i.stack.imgur.com/CGFEC.png)
Find an appropriate Lyapunov function for the nonlinear system of differential equations - Mathematics Stack Exchange
![control theory - How to use a Lyapunov function to test stability of a non-linear system? - Mathematics Stack Exchange control theory - How to use a Lyapunov function to test stability of a non-linear system? - Mathematics Stack Exchange](https://i.stack.imgur.com/grEfF.png)
control theory - How to use a Lyapunov function to test stability of a non-linear system? - Mathematics Stack Exchange
Example 1. Simple strong Lyapunov function. Example 2. Stability by Linearization For the following system of equations find all
![SOLVED: Consider the nonlinear system: I1 = I1zz - I2 Tzri Show that (0,0) is the unique equilibrium point and investigate local stability. Investigate global stability using the Lyapunov function candidate. SOLVED: Consider the nonlinear system: I1 = I1zz - I2 Tzri Show that (0,0) is the unique equilibrium point and investigate local stability. Investigate global stability using the Lyapunov function candidate.](https://cdn.numerade.com/ask_images/40929c3eac084e6b803b7c35ac147255.jpg)
SOLVED: Consider the nonlinear system: I1 = I1zz - I2 Tzri Show that (0,0) is the unique equilibrium point and investigate local stability. Investigate global stability using the Lyapunov function candidate.
![Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications): Michel, Anthony N., Hou, Ling, Liu, Derong: 9783319152745: Amazon.com: Books Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications): Michel, Anthony N., Hou, Ling, Liu, Derong: 9783319152745: Amazon.com: Books](https://m.media-amazon.com/images/I/5135mCW4d+L._AC_UF894,1000_QL80_.jpg)
Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications): Michel, Anthony N., Hou, Ling, Liu, Derong: 9783319152745: Amazon.com: Books
![SOLVED: Text: Show that V(x,y) = %(x' Is a Lyapunov function for the following systems at the equilibrium point (0,0). 1. r=r-2y' 2xy -y 2 * =-tY. F3y X' = r Y=n-Y. SOLVED: Text: Show that V(x,y) = %(x' Is a Lyapunov function for the following systems at the equilibrium point (0,0). 1. r=r-2y' 2xy -y 2 * =-tY. F3y X' = r Y=n-Y.](https://cdn.numerade.com/ask_images/cb22f4caaa8540a19383af09321d1b9f.jpg)
SOLVED: Text: Show that V(x,y) = %(x' Is a Lyapunov function for the following systems at the equilibrium point (0,0). 1. r=r-2y' 2xy -y 2 * =-tY. F3y X' = r Y=n-Y.
![SOLVED: Solve stability questions below: For the system given above, use the following Lyapunov functions to investigate stability. State if they are not suitable to be used as Lyapunov functions. V1(r) = SOLVED: Solve stability questions below: For the system given above, use the following Lyapunov functions to investigate stability. State if they are not suitable to be used as Lyapunov functions. V1(r) =](https://cdn.numerade.com/ask_images/735ece73faf24271a87eaea57482f324.jpg)