Question

By using the Liapunov function

V

(

x; y

) =

x

2

+

y

2

;

what can you say about

the equilibrium point (0

;

0) of the nonlinear planar system

2. (10 marks) a) (7 marks) By using the Liapunov function V(x,y)- +, what can you say about the equilibrium point (0,0) of the nonlinear planar system (b) (3 marks) Draw the phase portrait

Show transcribed image text 2. (10 marks) a) (7 marks) By using the Liapunov function V(x,y)- +, what can you say about the equilibrium point (0,0) of the nonlinear planar system (b) (3 marks) Draw the phase portrait