On the Stability of Stochastic Parametrically Forced Equations with Rank One Forcing.
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Engineering topics
Publications and source records attributed to Romero, Louis Anthony.
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Atechnique of locating a ground-based radio frequency (RF) emitter using receivers on a constellation of satellites is described and analyzed. A reference emitter near to the emitter of interest is required so that differences in carrier phase of the emitter of interest and the reference emitter can be measured. This technique is related to differential carrier phase techniques used in Global Positioning System (GPS) based high accuracy surveying applications.
We present a method for determining the moment stability of stochastically forced ordinary differential equations. We provide many details omitted. We consider the case where the forcing arises from passing white noise through an nth order filter. We carry out a perturbation analysis for marginal moment tensors, based on a small parameter ε that gives the amplitude of the forcing. Our perturbation analysis is based on ladder operator approach to the vector Ornstein-Uhlenbeck process developed by the authors.