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Proceedings Particle Accelerator Conference
Characteristic Eq. of coupled-bunch motion of beam governed by a feedback (FB) is given to find FB' s stabilizing effect against coherent instabilities or, say, injection error damping rates. Quite a general FB' s schematics is involved: (i) it has two paths, the in-phase and quadrature (or amplitude and phase in a small-signal approach), with unequal gains; (ii) may employ distinct RF-bands to pick-up beam data and feed correction back to the beam. To account for cross-talk between variousdoi:10.1109/pac.1995.505747 fatcat:lcly5ynoqvhfboit6aeh4cfhgu