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1.2.3.1 Stability analysis

We derived an algebraic conditions to determine the stability of a linear system at the $ (0,0)$ equilibrium point. These conditions can be summarized in the following table:




$ a+d$ $ ad-bc$ Stability of the $ (0,0)$ equilibrium point
$ > 0$ $ <0$ Unstable*
$ > 0$ $ > 0$ Unstable
$ <0$ $ <0$ Unstable*
$ <0$ $ > 0$ Stable



Eran Borenstein
2007-05-04