Balanced realizations via gradient flow techniques *

Educational Article:Gramians and Balanced Realizations and their Application in System Order Reduction

Educational Article:Gramians and Balanced Realizations and their Application in System Order Reduction

Differential approaches for computing Euclidean diagonal norm balanced realizations in control theory

In this paper we propose dynamical systems for computing diagonal balanced realizations arising in control theory, particularly, we deal with Euclidean diagonal norm balanced realizations. The limiting solution of a differential flow appears to be a possible way of finding such realizations since no direct algebraic algorithm is known. © 2003 Elsevier Science B.V. All rights reserved.

Investigation of influential factors on well temperature for gas-liquid two-phase flow in under-balanced drilling operation

Analysis of the drilling fluid temperature due to heat transfer of drilling fluid with the formation in under-balanced drilling operation is the main objective of this study. Gas-liquid two-phase flow model considering thermal interaction with the formation is used to numerically simulate a well with real dimensions. In the present study, the continuity, momentum, and energy equations are devel...

Balanced-realization based adaptive IIR filtering

Balanced realizations are attractive for adaptive filtering, due to their minimum parameter sensitivity and due to their usefulness in model-reduction problems. A balanced-realization based adaptive IIR filtering algorithm is presented. The proposed algorithm uses a stochastic-gradient based search technique to minimize the output error. The algorithm inherently guarantees that the adaptive fil...