#### Zero-Input Response of State Space Models

The response of a state-space model Eq.(1.8) to *initial
conditions*, *i.e.*, its *initial state*
, is given by

*complete response*of a linear system is given by the sum of its

*forced response*(such as the impulse response) and its

*initial-condition response*.

In our force-driven mass example, with the external force set to zero, we have, from Eq.(1.9) or Eq.(1.11),

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