1. Nov 1, 2008

### ceomtcl

1. The problem statement, all variables and given/known data
If the origin x=0 is globally asymptotically stable equilibrium point of the system then it must be the _________ equilibrium point of the system.

2. Relevant equations

None

3. The attempt at a solution

This is an objective/one word answer.

2. Nov 1, 2008

### ceomtcl

Re: Lyapunov Theory

I have around 50 such objective questions for the assignments. I am done with 40 plus, but a few of these are haunting ms and i am not sure about them! Any help is highly appreciated!

3. Nov 1, 2008

### gabbagabbahey

Hint: If the point x=0 is a "globally asymptotically stable equilibrium point", what happens as you approach x=0 from any direction, from any starting point? Can there be any other equilibrium points?

4. Nov 2, 2008

### ceomtcl

1. I believe that if the point x=0 is a "globally asymptotically stable equilibrium point" then if we approach x=0 from any direction then it will converge to equilibrium point. Am I right?

2. According to me, there is no other equilibrium point.

Please let me know if i am right?

5. Nov 2, 2008