6 MIMO model. The non-linear part of the cascade model can scale the linear filter's response depending on bias but it can not move the poles and zeros. In contrast, the K-model can move the poles and zeros for bias. The K-model is a behavioral model and consequently not exact. However, it is an improvement over linear models, memoryless non-linear models, and cascaded combinations of linear fi...

We propose what be believe to be a novel approach to perform calculations for rational density functions using state space representations of the densities. By standard results from realisation theory, a rational probability density function is considered to be the transfer function of a linear system with generally complex entries. The stable part of this system is positive-real, which we call...

This paper presents a procedure for the identification of two types of a continuous-time linear system interconnected by direct and feedback memoryless nonlinearities. The first case is the continuous time Hammesrstein system and the second is a specific case of the continuous time Wiener system. The direct and feedback nonlinear elements, described by bounded unknown functions, are expressed a...

A simple, yet powerful approach to model order reduction of large-scale linear dynamical systems is to employ projection onto block Krylov subspaces. The transfer functions of the resulting reduced-order models of such projection methods can be characterized as Padé-type approximants of the transfer function of the original large-scale system. If the original system exhibits certain symmetries,...

In this paper, vapor pressure for pure compounds is estimated using the Artificial Neural Networks and a simple Group Contribution Method (ANN–GCM). For model comprehensiveness, materials were chosen from various families. Most of materials are from 12 families. Vapor pressure data of 100 compounds is used to train, validate and test the ANN-GCM model. Va...

Timed event graphs are described in dioids by a linear state-space or transfer function model. This paper proposes a state feedback control under complete control and observation of the states. By using a model reference control approach, the closed-loop transfer function matches the control specification expressed as a given transfer function. It is shown that under certain conditions an optim...

the present paper deals with the prediction of three-dimensional fluid flow and heat transfer in rib-roughened ducts of square cross-section. such flows are of direct relevance to the internal cooling system of modern gas turbine blades. the main objective is to assess how a recently developed variant of a cubic non-linear model (proposed by craft et al. (1999)), that has been shown to produce ...

we discuss whether finiteness properties of a profinite group $g$ can be deduced from the coefficients of the probabilisticzeta function $p_g(s)$. in particular we prove that if $p_g(s)$ is rational and all but finitely many non abelian composition factors of $g$ are isomorphic to $psl(2,p)$ for some prime $p$, then $g$ contains only finitely many maximal subgroups.