Bandwidth

${\omega }_{BW}$

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Arbitrarily means capacity, or a range of some sort

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For what range of frequencies will the system be active at?

At high enough frequencies, the gains for all physical plants approach zero (this means that real systems can’t respond infinitely fast. The Bode Plot for this decays to zero).

You can find the bandwidth by…

• $\omega =\left|P(j\omega \right|=-3dB$
• Then ${\omega }_{BW}=\max \left|\left(\mathrm{Re}\left(p_i\right)\right)\right|$