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+//caption:gain_margin_and_phase_margin

+//example 11_22

+//page 493

+s=%s;

+g=((2*(s+0.25))/(s^2*(s+1)*(s+0.5)));

+G=syslin('c',g)

+fmin=0.1; 

+fmax=100; 

+bode(G, fmin, fmax) 

+[gm,freqGM]=g_margin(G);

+[pm,freqPM]=p_margin(G);

+show_margins(G);

+disp(gm,"gain_margin=");

+disp((freqGM*2*%pi),"gain_margin_freq=");

+disp(pm,"phase_margin=");

+disp((freqPM*2*%pi),"phase_margin_freq=");

+show_margins(G);

+disp("since gain and phase margin are both negative so system is unstable")