The article outlines the development of time variable parameter (TVP) estimation as an approach to modeling nonstationary dynamic systems. It then describes one of the latest methods for estimating time variable parameters in dynamic auto-regressive, exogenous variables (DARX) and dynamic transfer function (DTF) models. In the case of DARX models, the estimation methodology is based on standard...

Abstract We extend Fring-Tenney approach of constructing invariants constant mass time-dependent system to the case a particle. From coupled set equations described in terms guiding parameter functions, we track down modified Ermakov-Pinney equation involving function. As concrete example focus on an exponential choice

The identification of time-varying parameters (e.g., directly inaccessible in situ signals vacuum and low-temperature environments) is prevalent for characterizing the dynamics quantum processes. Under certain circumstances, they can be identified from time-resolved measurements via Ramsey interferometry experiments, but only with specially designed probe systems explicitly read out, a rigorous...

An available bit rate (ABR) service allows applications to access a time-varying network capacity. In a basic ABR service, the available network capacity is divided \fairly" amongst active connections, without regard to the utility that each application derives from the bandwidth allocation. The goal of this paper is to improve both the global and individual utility obtained by applications usi...