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+//caption:stability_using_Nyquist_criterion
+//example 11_24
+//page 496
+clf;
+s=%s;
+s1=-s;
+g=50/((s+1)*(s+2));
+g1=50/((s1+1)*(s1+2));
+GH=syslin('c',g)
+GH1=syslin('c',g1)
+nyquist(GH);
+nyquist(GH1);
+mtlb_axis([-5 30 -20 20]);
+xtitle('Nyquist plot of 50/((s+1)*(s+2))')
+figure;
+show_margins(GH,'nyquist')
+disp("since the point(-1+%i0) is not encircled by Nyquist plot ,so N=0 and P=0(given)")
+N=0;//no. of encirclement of -1+%i0 by G(s)H(s) plot
+P=0;//no. of poles of G(s)H(s) with positive real part
+Z=P-N;//np.of zeros of 1+G(s)H(s)=0 with positive real part
+disp(Z,"Z=")
+disp("as Z=0,there are no roots of closed loop characterstics eq having positive real part, hence system is stable.")
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