EE422

Solution to HW #8

 

1a) i)

\ asymptotically stable ii) \ marginally stable

iii)

\ unstable iv) \ unstable

b) i) All poles of H(s) in LHP

\ asymptotically stable ii) H(s) has distinct pole on jw -axis with rest in LHP \ marginally stable

iii) H(s) has repeated poles on j

w -axis \ unstable iv) H(s) has a pole in RHP \ unstable

 

c) Before t=0, iL = 5 Amps vC = 0 Volts. For t > 0:

 

2a) Before t=0, vc1 = 0 volts, vc2 = 20 volts. For t > 0:

 

 

2b) For t < 0: iL1 = 10 Amps. Draw a tree: Model for t > 0: