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.