Formal Mathematical Description
This section provides a formal mathematical definition of step response in terms of the abstract mathematical concept of a dynamical system : all notations and assumptions required for the following description are listed here.
- is the evolution parameter of the system, called "time" for the sake of simplicity,
- is the state of the system at time, called "output" for the sake of simplicity,
- is the dynamical system evolution function,
- is the dynamical system initial state,
- is the Heaviside step function
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