Local linearization method: Difference between revisions

Revision as of 15:41, 6 July 2017

Revision as of 15:46, 6 July 2017

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Consider the d-dimensional [[Ordinary differential equation|Ordinary Differential Equation]] (ODE).

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\frac{d\mathbf{x}\left( t\right) }{dt}=\mathbf{f}\left( t,\mathbf{x}\left(

t\right) \right) ,\qquad t\in \left[ t_{0},T\right], \qquad \qquad \qquad \qquad (1).

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with initial condition <math>\mathbf{x}(t_{0})=\mathbf{x}_{0}</math>, where <math>\mathbf{f}</math> is a differentiable function.