Jury Conditions vs. Eigenvalues < 1

[llaskowski96]

A fundamental question that I would just like confirmed: Applying the Jury Conditions is equivalent to seeing if the eigenvalues of a matrix M are less than one to confirm stability for a given equilibrium.

[bbolker]

Yes. Jury conditions in the simple form given (|T| < 1+ Delta < 2, or equivalently |T| < 1 + Delta and Delta < 1) only work for 2-dimensional systems/2x2 matrices, though. Otherwise you have to do something more complicated.