1 - By means of the Routh-Hurwitz critcria, determine the stability of sys- tems that have the following characteristic equations. In cach case, deter- mine the number of roots of the equation which are in the right-half s- plane. (a) s + 20k? + 9s + 100 = 0 (bị s + 20s + 9s + 200 = 0 (c) 3s* + 10s + 5s? +s+ 2 = 0

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1 - By means of the Routh-Hurwitz criteria, determine the stability of sys-
tems that have the following characteristic equations. In cach case, deter-
mine the number of roots of the equation which are in the right-half s-
plane.
(a) s' + 20s2 + 9s + 100 = 0
(bị s + 20s + 9s + 200 = (0
(c) 3s* + 10s + 5s2 + s + 2 = 0
(d) s + 2s' + 6s? + 8s + 8 = 0
(c) s" + 2s* + 8s* + 12s + 20s2 + 16s + 16= (0
(f) s" + 3s + 5s + 9s' + 8 s? + 6s + 4 = (0
Transcribed Image Text:1 - By means of the Routh-Hurwitz criteria, determine the stability of sys- tems that have the following characteristic equations. In cach case, deter- mine the number of roots of the equation which are in the right-half s- plane. (a) s' + 20s2 + 9s + 100 = 0 (bị s + 20s + 9s + 200 = (0 (c) 3s* + 10s + 5s2 + s + 2 = 0 (d) s + 2s' + 6s? + 8s + 8 = 0 (c) s" + 2s* + 8s* + 12s + 20s2 + 16s + 16= (0 (f) s" + 3s + 5s + 9s' + 8 s? + 6s + 4 = (0
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