Excitatieinput

Excitatieinput is the external signal or force that drives the dynamics of a system, causing it to respond away from its resting state. It is an external or exogenous input distinct from the system’s own internal state evolution.

In the context of control theory and systems engineering, excitatieinput is often denoted u(t) and is treated as a forcing term in the system equations x' = f(x, u, t). It can be deterministic, such as a sinusoid, ramp, or step, or stochastic, such as white noise or a random process. The properties of the excitation, including amplitude, frequency content and duration, determine what aspects of the system are observable or identifiable.

In experimental engineering, excitation input is used in tests to identify models, estimate parameters, or determine frequency response (modal analysis). Common excitation signals include sinusoidal sweeps, pseudo-random binary sequences, and broadband noise. A good excitation covers a sufficient range of frequencies and amplitudes to avoid unidentifiable models.

In neuroscience and physiology, excitation input can refer to synaptic inputs or other stimuli that depolarize a neuron or tissue, increasing the probability of action potential firing. The term reflects the role of external or network inputs in driving activity, separate from intrinsic oscillations.