Lyapunov function: Difference between revisions

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{{main article|Lyapunov stability}}
 
Let <math>x^* = 0</math> be an equilibrium point of the autonomous system
:<math>\dot{x} = f(x).</math>
and use the notation <math>\dot{V}(x)</math> to denote the time derivative of the Lyapunov-candidate-function <math>V</math>: