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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 5.6
+
+clc;
+clear; 
+s=poly(0,'s')
+a=(s^7)+(5*s^6)+(9*s^5)+(9*s^4)+(4*s^3)+(20*s^2)+(36*s)+36
+b=coeff(a)
+n=length(b)
+R=routh_t(a)
+disp(R,'the routh array is;')
+//divide characterstic equation by auxilary polynomial to get quotient polynomial
+//routh table for quotient poly nomial
+a1=(s^3)+(5*s^2)+(9*s)+9 //quotient poly nomial
+b1=coeff(a1)
+n1=length(b1)
+R1=routh_t(a1)
+disp(R1,'the routh array for quotient poly nomial is;')
+ap=s^4+4 //auxillary polynomial
+r=roots(ap)
+disp(r,'the roots are')
+disp('the system is unstable')
+disp('two roots on right half of s plane and five roots lie in left half of s plane')