tangent

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 macro which codes the system
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.