Abstract
The residence time control problem is considered for linear systems that are subject to both input and measurement noise disturbances. It is shown that the maximal residence time is bounded and an upper bound is derived. Necessary and sufficient conditions for the existence of controllers that achieve the upper bound are derived and design techniques for residence time controllers are considered. Connections with optimal output feedback control are explored. The approach is based on an asymptotic version of the large deviations theory.
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