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
Related Questions on Control Systems
In root locus analysis the breakaway and break in points
A. lie on the real axis
B. Either lie on the real axis or occur in complex conjugate pairs
C. Always occur in complex conjugate pairs
D. None of the above
Which of the following features is not associated with Nichols chart?
A. (0 dB, -180°) point on Nichols chart represent critical Point (-1, 0)
B. It is symmetric about -180°
C. M loci are centred about (0 dB, -180°) point
D. The frequency at intersection of G (j$$\omega $$) locus and M = +3 dB locus gives bandwidth of closed loop system

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