Examveda

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


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