tangent

Scilab Function
Last update : 25/04/2007

tangent - linearization of a dynamical system at an equilibrium point

### Calling Sequence

  `[f,g,newm]=tangent(ff,xe,[ue])`

### Parameters

- `ff` : a string which gives the name of the Scilab function which codes the system, or the fuunction itself.
- `xe` : column vector which gives the equilibrium point for the value ue of the parameter
- `ue` : real value.
- `f, g` : two matrices for the linearised system `dxdot=f.dx + g.du`
- `newm` : A new macro of type [y]=newm(t,x,u) which computes the field of the linearised system (newm(t,xe,ue)=0)

### Description

linearises around the equilibrium point `(xe,ue)` the vector field of the dynamical system given by a Scilab macro `ff` , `xdot=ff(t,x,[u])` . The dynamical system is supposed to be autonomous.