Abstract
AbstractThe paper introduces a static gain state observer for linear continuous systems under sustained oscillations driven by intrinsic and inaccessible for measurement pulse-modulated feedback. This kind of hybrid dynamics arises in e.g. modeling of endocrine systems with pulsatile regulation. Conditions under which the observer state estimation error converges to zero and the sequence of pulse modulation instances estimated by the observer asymptotically synchronizes with that of the plant are presented.
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