#### 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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Impulse Response of State Space Models