Linearizing ordinary differential equations

Discussion in 'Math' started by thavamaran, Jan 7, 2011.

  1. thavamaran

    Thread Starter Active Member

    Feb 21, 2008
    Hi guys, im trying to linearize a coupled non-linear ode. I used partial derivative, and then jacobian matrix, i have seen paper using state-space model of jacobian matrix. I cant get a proper reference on this state-space model.

    Attached is the non-linear ode, the partial derivative of the non-linear ode and the state-space model of jacobian matrix.

    Can someone enhance or explain how they got the state-space model as the transformation, is it a fix formulation. Sorry for asking this way cause I cant find any books or reference referring or explaining this. Please help me! thanks!
  2. kokkie_d

    Active Member

    Jan 12, 2009
    Yes, the jacobian matrix is a fixed formulation.