A state vector is a mathematical representation that encapsulates all the essential information about a dynamic system at a given point in time. It describes the state of the system using a set of variables, which can include position, velocity, and other parameters, enabling the prediction of future states based on its current conditions. The state vector is crucial for modeling dynamic systems in a concise manner and plays a key role in the formulation of state-space representations and the computation of system responses over time.
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