The state equation and output equation in space space model of discrete time system are
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O X(t) = AX (t) + B U14)
Y(t) =CX(t) + DU/T)
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O X(t) = AX (t)-BUIE
Y(t) = CX(t) - DU(t)
O K
X(k+1) = AX (k) + BU (K)
Vík) = CX(K)+ DU(K)
X{k+1)=AX (K)
O
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Where the input u, output y and d. ... A discrete time system is said to be controllable if there exists a finite integer n and input mu(k); k [0,n 1] that will transfer any state (0) x0 = bx(0) to the state xn at k = n n.
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