Examveda

If the state space equation of a system is:
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} { - 3}&1\\ 0&{ - 2} \end{array}} \right]x\]
And the initial state value x(0) =[10 -10]T, the steady-state value is [A B]T, what are the respective values of A and B?

A. 0, 0

B. -3, -2

C. 0, 1

D. ∞, ∞

Answer: Option A


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