hi....about route locus...

what is the route locus of.......1/s^50.
i have tried..?
if u find any answer...plz help me...
thanks....
frank

What on earth do you mean by "route locus ?

Do you mean "root locus" in classical control system theory ?
If so, I assume a forward transfer function is G(s)=K/s^n. Here n=50.

Close loop transfer function is W(s)=1/(1+G(s))=K/(s^n+K).

Attached figure is a closed form of roots by using Mathematica.

This is "Root Locus of G(s)=1/(s^50) for K=5,10,15.20" by using MATLAB.

Just in matlab write:

s=tf('s');
H=1/s^50;
rlocus(H);

It is 50 radial lines which have 360/50 degree (7.2) degree space between each line. Because of very big number of poles, the root locus that matlab gives you, is a little bit weired. So it is better to start with 1/s^10.

here is the root locus of 1/s^10; 10 polar lines staring from origin with 36 degree spacing.

Thank you all...

its route locus is the the figure which has 50 poles on origin...it self .....so simple.....