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Category:CDS 101/110 FAQ - Lecture 2-1, Fall 2008

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Pages in category "CDS 101/110 FAQ - Lecture 2-1, Fall 2008"

The following 7 pages are in this category, out of 7 total.

C

  • Can a Lyapunov function be used to show/prove a system is unstable at an equilibrium point similar to the way it can be used to show asymp stability?

I

  • I'm a 101/110 student. Can I sit in on the 210 lectures on Fridays without being enrolled in 210?
  • In slide 12, what is special about the red cycle as opposed to the blue curves?
  • In slide 9, why did you only linearize around the downward equilibrium point?

W

  • What is the significance of having eigenvalues that are 0? I think I heard you say "in that case you don't know anything". Does that mean you cannot determine if the system is stable or asymptotically stable?

Y

  • You mentioned "aggressive" dynamics a couple of times. Please define. How/when is it useful?
  • You said spiraling out to a bounded circle is unstable, but doesn't that still satisfy the epsilon-delta condition of stability? Or are there limits on epsilon?
Retrieved from "https://murray.cds.caltech.edu/Category:CDS_101/110_FAQ_-_Lecture_2-1,_Fall_2008"

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