Page 438 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP, 71 STATE SPACE ANALYSIS 425

7.65. Consider the network shown in Fig. 7-26. Find a state space representation for the network
with the state variables q,(t) = i,(t), q,(t) = o&) and outputs y,(t) = i,(t), y,(t) = uc(t),
assuming R, = R,= 1 $2, L = 1 H, and C = 1 F.

Fig. 7-26

7.66. Consider the continuous-time LTI system shown in Fig. 7-27.

(a) Find the state space representation of the system with the state variables q,(t) and q,(t)
as shown.
(6) For what values of n will the system be asymptotically stable?
-3 1
Am. (a) 4(t)=[-n l]q(t)+[y]x(t)

Fig. 7-27