a) Eigenvalues are {-1, -4}, so system is asymptotically stable!!
b) Eigenvalues are {1-T, 1-4T}, so stability is preserved ONLY if T < 1/2 sec.!!
c) Eigenvalues are {e-T , e-4T } which are both inside the U.C for all T, so stability is preserved!!
EE611
Solution to Homework #25
1. For the continuous-time system in Homework #24:
a) Eigenvalues are {-1, -4}, so system is asymptotically stable!!
b) Eigenvalues are {1-T, 1-4T}, so stability is preserved ONLY if T < 1/2 sec.!!
c) Eigenvalues are {e-T , e-4T } which are both inside the U.C for all T, so stability is preserved!!
2a)
b)
i)
ii)
