A second-order linear time-invariant system is described by the following state equations
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x1(t) + 2x1(t) = 3u(t)
\[\frac{{\rm{d}}}{{{\rm{dt}}}}\] x2(t) + x2(t) = u(t)
where x1(t) and x2(t) are the two state variables and u(t) denotes the input. If the output c(t) = x1(t) , then the system is
A. controllable but not observable
B. observable but not controllable
C. both controllable and observable
D. neither controllable nor observable
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Control Systems
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