BACKGROUND Mathematical models of the immune response to the Human Immunodeficiency Virus demonstrate the potential for dynamic schedules of Highly Active Anti-Retroviral Therapy to enhance Cytotoxic Lymphocyte-mediated control of HIV infection. METHODS In previous work we have developed a model predictive control (MPC) based method for determining optimal treatment interruption schedules for...

The nonlinear response of the loudspeaker is a undesired phenomenon which produces audible distortion. The construction of the loudspeaker is a trade-off between various factors and therefore makes it difficult to build a linear loudspeaker. This work takes another approach to address this issue. By using digital signal processing, the terminal voltage can be pre-distorted to compensate for the...

The two step filter is applied to process intersatellite radar measurements to determine the motion of one satellite relative to another in close elliptical orbits. This filter breaks a nonlinear estimation problem into two state vectors. The “first step” state is chosen so as to have a linear measurement equation. This is nonlinearly related to the “second step” state which describes the dynam...

Disturbance noises are always bounded in a practical system, while fusion estimation is to best utilize multiple sensor data containing noises for the purpose of estimating a quantity–a parameter or process. However, few results are focused on the information fusion estimation problem under bounded noises. In this paper, we study the distributed fusion estimation problem for linear time-varying...

The instrumental variable method consistently estimates the effect of a treatment when there is unmeasured confounding and a valid instrumental variable. A valid instrumental variable is a variable that is independent of unmeasured confounders and affects the treatment but does not have a direct effect on the outcome beyond its effect on the treatment. Two commonly used estimators for using an ...

For 1 dimension reduction in l1, the method of Cauchy random projections multiplies the original data matrix A ∈ R with a random matrix R ∈ R (k ≪ min(n,D)) whose entries are i.i.d. samples of the standard Cauchy C(0, 1). Because of the impossibility results, one can not hope to recover the pairwise l1 distances in A from B = AR ∈ R, using linear estimators without incurring large errors. Howev...

The aim of this paper is to present a novel approach for the design and implementation of an onboard nonlinear state estimation system for an autonomous aerial vehicle. The tasks of such a system include collection of measurement data from different navigation sensors, and estimation of all the quantities describing the system’s state of motion based on the system dynamics and the measurement d...

This paper analyses the properties of standard estimators, tests, and con…dence sets (CS’s) in a class of models in which the parameters are unidenti…ed or weakly identi…ed in some parts of the parameter space. The paper also introduces a method to make the tests and CS’s robust to such identi…cation problems. The results apply to a class of extremum estimators and corresponding tests and CS’s,...