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+//control systems by Nagoor Kani A
+//Edition 3
+//Year of publication 2015
+//Scilab version 6.0.0
+//operating systems windows 10
+// Example 5.16
+
+clc;
+clear;
+s=poly(0,'s')//defines s as poly nomial variable
+h=syslin('c',(7*(1+0.5*s)*(1+s)/(1+10*s)*(s-1)))//system is stable for K>6.....the given transfer function assigned to variable h
+scf()
+nyquist(h)
+show_margins(h,'nyquist')
+//calculation of K
+//when -0.01667K=-1the contur passes through -1=j0and the corrospong value of K is the limiting value of k for stabilty
+K=1/0.1667
+disp(K,'the value of K is')
+disp('the open loop system is unstable')
+disp('for stability of closed loop system K>6')
+