State-transition matrix: Difference between revisions

Revision as of 06:54, 11 October 2015

Revision as of 22:57, 17 January 2016

Line 30:

:{| class="wikitable"

|-

|1.||<math>\mathbf{\Phi}(t_2, t_1)\mathbf{\Phi}(t_1, t_0) = \mathbf{\Phi}(t_2, t_0)</math>

|-

|2.||<math>\mathbf{\Phi}^{-1}(t, \tau) = \mathbf{ \Phi}(\tau, t)</math>

|-

|3.||<math>\mathbf{\Phi}^{-1}(t, \tau)\mathbf{\Phi}(t, \tau) = I</math>

|-

|4.||<math>\frac{d\mathbf{\Phi}(t, t_0)}{dt} = \mathbf{A}(t)\mathbf{\Phi}(t, t_0)</math>

|}