Using matlab to solve Lyapunov function

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Consider the following system
dx/dt=z
dz/dt=-x-z^3
Using the Lyapunov function as follows
V(x,z)=(x^2+z^2)
  1. By applying LaSalle's invariance principle what can be said about the stability of the system?
  2. What kind of mechanical system we can think of here?
  3. If the output is y=z, construct an observer for the system.
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Steven Lord
Steven Lord 2018-11-18
This sounds like a homework assignment. If that's correct, show us the code you've written so far to try to solve the problem and ask a specific question about where exactly you're having difficulty and you may receive some guidance.

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