File: tangent.man

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.TH tangent 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
tangent - linearization of a dynamical system at an equilibrium point 
.SH CALLING SEQUENCE
.nf
[f,g,newm]=tangent(ff,xe,[ue])
.fi
.SH PARAMETERS 
.TP
ff 
: a string which gives the name of the Scilab macro which  codes  the system 
.TP
xe 
: column vector which gives the equilibrium point for the value ue of the parameter
.TP
ue
: real value.
.TP
f, g 
: two matrices for the linearised  system  \fVdxdot=f.dx + g.du\fR
.TP
newm 
: A new macro of type [y]=newm(t,x,u) which computes the field of the linearised system  (newm(t,xe,ue)=0)
.SH DESCRIPTION 
linearises around the equilibrium point \fV(xe,ue)\fR the vector field of 
the dynamical system given by a Scilab macro \fVff\fR, \fVxdot=ff(t,x,[u])\fR.
The dynamical system is supposed to be autonomous.