Search results for "Linear"

Recent Developments in our Approach to Multiple-Criteria Decision Making

1984

Approximately ten years ago we began a study of multiple criteria decision making at the European Insti tute for Advanced Studies in Management in Brussels. The project started as a way of finding a multiple objective linear programming method that would work better than those tested by Wallenius (1975). We did a substantial amount of work on the problem and came up with such a method (Zionts and Wallenius, 1976). Wallenius’ (1975) thesis, one of the first outputs of that project, comprises a rather significant piece of research in the multiple criteria area. Since that time our work has continued. We have worked together on a great deal of it; some of it has involved students and other fac…

A new OLS-based procedure for clusterwise linear regression

2009

Data heterogeneity, within a (linear) regression framework, often suggests the use of a Clusterwise Linear Regression (CLR) procedure, which implies, among other things, the estimate of the appropriate number of clusters as well as the cluster membership of each unit. The approaches to the estimation of a CLR model are essentially based on the Ordinary Least Square (OLS) criterion or the likelihood criterion. In this paper, in a context of OLS approach, we propose an estimation of the model making use of an algorithm based on a threshold criterion for the determination coefficient of each cluster, to identify the appropriate number of clusters, and of a modified Spath's algorithm, to estima…

Comment on “Determining soil erodibility for the USLE-MM rainfall erosion model by P.I.A. Kinnell”

2018

Abstract The measurements units of the USLE-MM soil erodibility factor are dependent on the exponent of the erosivity term. This circumstance prevents to compare soil erodibility values of sites differing by the value of this exponent. To overcame this problem, Kinnell (2018) suggested to relate the soil erodibility factor of the USLE-MM with that of USLE-M by a linear relationship with the objective to obtain a soil erodibility factor independent of the power of the erosivity term. The USLE-MB, which is a recently proposed model, has also a soil erodibility factor having measurement units common to USLE modelling environment. Kinnell (2018) also showed that the relationship between the pow…

Response Correlations of Linear Systems with White Noise Linearly Parametric Inputs

1996

Relationships between moments and correlations of the response of linear systems subjected to linearly parametric normal white noise inputs are here reported. They are obtained by extensively using the properties of the stochastic integral calculus.

Robust control of a Hammerstein model of DC/DC converters

2007

This paper deals with the robust control of a Hammerstein mathematical model of DC/DC converters, consisting of the nonlinear static characteristics of the converter followed by one of a few number of linear time- invariant models which describe the converter in the useful working range. One of these models is assumed as the nominal model of the system and the remaining models are used for describing the model uncertainty. Nominal behaviour is assured using H-2 optimal control method, Robust stability and behaviour are assured by imposing H-infin specifications. The closed loop control system consisting of the converter Hammerstein model and the robust controller is analyzed by means of sim…

Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities

2010

In this article, the fault detection (FD) problem for a class of discrete-time Markov jump linear system (MJLS) with partially known transition probabilities is investigated. The proposed systems are more general, which relax the traditional assumption in Markov jump systems that all the transition probabilities must be completely known. A residual generator is constructed and the corresponding FD is formulated as an H ∞ filtering problem by which the error between residual and fault are minimised in the H ∞ sense. The linear matrix inequality-based sufficient conditions for the existence of FD filter are derived. A numerical example on a multiplier–accelerator model economic system is give…

Standard classes on the blow-up of $\mathbb{P}^n$ at points in very general position

2012

A conjecture on special linear systems of $mathbb{P}^3$

2005

How to validate similarity in linear transform models of event-related potentials between experimental conditions?

2014

Abstract Background It is well-known that data of event-related potentials (ERPs) conform to the linear transform model (LTM). For group-level ERP data processing using principal/independent component analysis (PCA/ICA), ERP data of different experimental conditions and different participants are often concatenated. It is theoretically assumed that different experimental conditions and different participants possess the same LTM. However, how to validate the assumption has been seldom reported in terms of signal processing methods. New method When ICA decomposition is globally optimized for ERP data of one stimulus, we gain the ratio between two coefficients mapping a source in brain to two…

Beam Dynamics Simulations for the New Superconducting CW Heavy Ion LINAC at GSI

2018

LINAC18 : 29th Linear Accelerator Conference : September 16-21, 2018, Friendship Hotel, Beijing, China / Pei, Guoxi , Geneva : JACoW Publishing, CERN, Jan 2019,; Geneva : JACoW Publishing, Geneva, Switzerland 525--527 (2018). doi:10.18429/JACOW-LINAC2018-TUPO084