##  [State-Space Model](/state-space-model) 

  ##  [State-Space Model](https://engineering.quantumdictionary.io/state-space-model-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A time‑domain mathematical representation of a dynamical system using a finite vector of state variables x(t) and first‑order differential (continuous) or difference (discrete) equations ẋ = Ax + Bu, y = Cx + Du (or their nonlinear generalizations), relating internal state evolution to inputs and outputs for analysis, simulation and control design.