State Space to Transfer Function Examples

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where x(0) is the initial value of the state vector in the time domain. ... the solution to the state equation in the transform domain has a term related to the initial.
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State Space to Transfer Function Examples A. Introduction For a linear, time-invariant, continuous-time system, the state and output equations are ·

x(t) = Ax(t) + Bu(t),

y(t) = Cx(t) + Du(t)

(1)

where x ∈