Suppose we have a dynamical system [itex]x_{t+1} = Ax_{t}[/itex] where [itex]A[/itex] is matrix, [itex]x[/itex] is vector. We suppose that $x$ always grow as time goes on.(adsbygoogle = window.adsbygoogle || []).push({});

If we treat equilibrium as the whole time evolution(path) of [itex]x[/itex] given [itex]x_0 = a[/itex] and no disturbance to the value of [itex]x[/itex] - that is $x$ follows from the initial condition, how would we be able to define stability of the system? What would be the equation?

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# Stability of dynamical system

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