Glossary Canonical realization: A state-space realization that has specific properties that makes it unique. Characteristic polynomial: The scalar denominator of a transfer function. Column-reduced: A polynomial matrix with non-singular column leading coefficient matrix. Coprime: See relatively prime. Denominator polynomial: The polynomial appearing in the denominator of a rational transfer fun...

Dedicated to my long-time friend and colleague, Paul Fuhrmann, on the occasion of his 60 th birthday Abstract We show how a certain class of Hamiltonian systems give rise to diierential equations on spaces of matrices whose elements are rational functions. In particular, we reinterpret the results of Kac and van Moerbeke on the periodic Toda lattice in terms of such diierential equations and re...

Formal power series in N non-commuting indeterminates can be considered as a counterpart of functions of one variable holomorphic at 0, and some of their properties are described in terms of coefficients. However, really fruitful analysis begins when one considers for them evaluations on N-tuples of n× n matrices (with n = 1, 2, . . .) or operators on an infinite-dimensional separable Hilbert s...

The general version of the bosonic harmonic oscillator realisation of bosonic q-oscillators is given. It is shown that the currently known realisation is a special case of our general solution. The investigation has been performed at the Laboratory of Theoretical Physics, JINR.

Latent heat release associated with tropical deep convective activity is investigated as a source for migrating (sun-synchronous) diurnal and semidiurnal tidal oscillations in the 80±150-km height region. Satellite-based cloud brightness temperature measurements made between 1988 and 1994 and averaged into 3-h bins are used to determine the annualand longitude-average local-time distribution of...

The article is devoted to the problems of axiology of spaces. The aim of the article is to demonstrate that a physical space is the arena of a certain struggle of values. Their materialisation and realisation in the world of real things result from the human understanding, response and approach towards values. The differences in perception of values determine a great number of spatial decisions...

nowadays, many antibiotics are being used to control infectious diseases. inappropriate use of antibiotics leads to emergence of resistant bacteria and problems such as a prolonged course of treatment. medicinal plants and their derivatives, as a good source of treatment, are effective against drug resistance. in this study we have evaluated the antimicrobial activity of herbal essential oils o...

Given a metric d on a finite set X, a realization of d is a triple (G,φ,w) consisting of a graph G = (V,E), a labeling φ : X → V , and a weighting w : E → R>0 such that for all x, y ∈ X the length of any shortest path in G between φ(x) and φ(y) equals d(x, y). Such a realization is called optimal if ‖G‖ := ∑ e∈E w(e) is minimal amongst all realizations of d. In this paper we will consider optim...

In this paper, a nonlinear switching control method is proposed for a magnetic bearing system which has a strong nonlinearity in the magnetic actuator. The main purpose is to use minimal electrical power to achieve good response. By focusing on the structure of this system, it is found that the rotor part of the system can be stabilized by a virtual magnetic force first, which is given by a lin...