Linear time-invariant sys tems. Consider a SISO, LTI system: t(t) Az(t) + bu(t) y(t) cr (t) with IC x(0) 3o. If the nominal input is a non-zero constant, i.e. if u(t)= u, under what conditions does there exist a constant nominal solu- tion (t) nominal output zero? Under what conditions do there exist constant nom- inal solutions that satisfy g = u for all u? To for some axo? Under what conditions is the corresponding
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