Find the matrices - discrete-time equation

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Reference no: EM131809867

Question

Given the state-equation of a linear system as

x^·(t) = Ax(t) + Bu(t)

with u(t) = constant for KT ≤ t ≤ (k+1)T.

The system is discretised resulting in the following discrete-time equation:

X[(k +1)T] = Φ (T)X(kT) + θ (T)u(kT)

find the matrices Φ (T) and θ (T).

Reference no: EM131809867

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