An LMI approach to H∞ synchronization of second-order neutral master-slave systems

The H∞ synchronization problem of the master and slave structure of a second-order neutral master-slave systems with time-varying delays is presented in this paper. Delay-dependent sufficient conditions for the design of a delayed output-feedback control are given by Lyapunov-Krasovskii method in terms of a linear matrix inequality (LMI). A controller, which guarantees H∞ synchronization of the master and slave structure using some free weighting matrices, is then developed. A numerical example has been given to show the effectiveness of the method

The Tyne Digital Library - Part 2 Maps and Images

In this section, you will find maps showing various important aspects of the River Tyne catchment area. All the maps are drawn based on Ordnance Survey data made available via the Digimap service. For the land cover maps of the catchment area, four variants are provided. Please note that the full details of the intext citations quoted in some of the following maps can be found in the full bibliographic listing.

Maps, figures and photos for theses

This PowerPoint outlines the main points that you need to consider when adding figures to your thesis, including resolution, file format and copyright.

ALPS Workshop 2 p3 Atom Chart

Animation

University intelligentsia in the making of maps : post-university networks and political change in Slovenia and Poland.

Resumen basado en el del autor

Looking at maps.

Pretende desarrollar en los niños las habilidades de un verdadero geógrafo. A lo largo de esta publicación los alumnos pueden adquirir diferentes habilidades en el manejo de los mapas incluidas análisis de datos, trabajar con gráficos, diagramas, fotografías e interpretar fotografías aéreas. Tiene glosario, índice y direcciones de Internet donde puede encontrarse más información.

Learning and teaching with maps.

El rápido crecimiento de mapas en internet, atlas digitales y Sistemas de Información Geográfica (SIG) exige nuevas habilidades, junto con las tradicionales como la localización de lugares utilizando un mapa. Este recurso explica a los niños y a los jóvenes cómo leer, comprender e interpretar los mapas y a los profesores la manera más eficaz de enseñar con los mapas. Presta especial atención a la forma de aprendizaje con este material que puede contribuir al desarrollo cognitivo y a desarrollar habilidades en aritmética. Describe cómo los profesores pueden planificar un programa de estudios y sugiere actividades para los alumnos desde la escuela primaria a la secundaria. Incluye todos los aspectos del uso de mapas, que abarca todas las modalidades, incluidas los globos y atlas. El texto está ampliamente ilustrado con ejemplos, incluyendo los mapas realizados por los propios niños con materiales convencionales, así como programas informáticos. Una característica particular de este recurso es la integración de mapas digitales y convencionales, de internet adecuados a las necesidades de educación primaria y secundaria. Tiene apéndice con web de organizaciones y recursos citados en el texto, bibliografía e índice alfabético.

Reading maps.

Introduce a los estudiantes entre seis y nueve años en los elementos básicos de los mapas y cómo se utilizan. Apoya la enseñanza acerca de los tipos de mapas, lugares y localidades más allá del medio inmediato de los niños. Con esta publicación pueden conocen cómo el globo terráqueo puede caber en un mapa plano, por qué se usan símbolos en los mapas, los puntos cardinales, meridianos y paralelos, latitud y longitud, cómo los cartógrafos dibujan los mapas, las imágenes por satélite y GPS. Incluye actividades.

The elements : a visual exploration of every known atom in the universe.

Las imágenes de esta publicación constituyen la representación visual más completa de cada átomo del universo. Organizada por orden de aparición en la tabla periódica, de cada elemento de los ciento dieciocho que la componen se facilitan datos, cifras, propiedades incluyendo el peso atómico, densidad, punto de ebullición y de fusión, valencia, electronegatividad, y el año y lugar en que se descubrió. Fotografías adicionales muestran cada elemento en formas ligeramente alteradas y sus aplicaciones.

Critical thoughts on computing atom condensed Fukui functions

Different procedures to obtain atom condensed Fukui functions are described. It is shown how the resulting values may differ depending on the exact approach to atom condensed Fukui functions. The condensed Fukui function can be computed using either the fragment of molecular response approach or the response of molecular fragment approach. The two approaches are nonequivalent; only the latter approach corresponds in general with a population difference expression. The Mulliken approach does not depend on the approach taken but has some computational drawbacks. The different resulting expressions are tested for a wide set of molecules. In practice one must make seemingly arbitrary choices about how to compute condensed Fukui functions, which suggests questioning the role of these indicators in conceptual density-functional theory

Selected configuration interaction with truncation energy error and application to the Ne atom

Selected configuration interaction (SCI) for atomic and molecular electronic structure calculations is reformulated in a general framework encompassing all CI methods. The linked cluster expansion is used as an intermediate device to approximate CI coefficients BK of disconnected configurations (those that can be expressed as products of combinations of singly and doubly excited ones) in terms of CI coefficients of lower-excited configurations where each K is a linear combination of configuration-state-functions (CSFs) over all degenerate elements of K. Disconnected configurations up to sextuply excited ones are selected by Brown's energy formula, ΔEK=(E-HKK)BK2/(1-BK2), with BK determined from coefficients of singly and doubly excited configurations. The truncation energy error from disconnected configurations, Δdis, is approximated by the sum of ΔEKS of all discarded Ks. The remaining (connected) configurations are selected by thresholds based on natural orbital concepts. Given a model CI space M, a usual upper bound ES is computed by CI in a selected space S, and EM=E S+ΔEdis+δE, where δE is a residual error which can be calculated by well-defined sensitivity analyses. An SCI calculation on Ne ground state featuring 1077 orbitals is presented. Convergence to within near spectroscopic accuracy (0.5 cm-1) is achieved in a model space M of 1.4× 109 CSFs (1.1 × 1012 determinants) containing up to quadruply excited CSFs. Accurate energy contributions of quintuples and sextuples in a model space of 6.5 × 1012 CSFs are obtained. The impact of SCI on various orbital methods is discussed. Since ΔEdis can readily be calculated for very large basis sets without the need of a CI calculation, it can be used to estimate the orbital basis incompleteness error. A method for precise and efficient evaluation of ES is taken up in a companion paper

Density functional energy decomposition into one- and two-atom contributions

The present work provides a generalization of Mayer's energy decomposition for the density-functional theory (DFT) case. It is shown that one- and two-atom Hartree-Fock energy components in Mayer's approach can be represented as an action of a one-atom potential VA on a one-atom density ρ A or ρ B. To treat the exchange-correlation term in the DFT energy expression in a similar way, the exchange-correlation energy density per electron is expanded into a linear combination of basis functions. Calculations carried out for a number of density functionals demonstrate that the DFT and Hartree-Fock two-atom energies agree to a reasonable extent with each other. The two-atom energies for strong covalent bonds are within the range of typical bond dissociation energies and are therefore a convenient computational tool for assessment of individual bond strength in polyatomic molecules. For nonspecific nonbonding interactions, the two-atom energies are low. They can be either repulsive or slightly attractive, but the DFT results more frequently yield small attractive values compared to the Hartree-Fock case. The hydrogen bond in the water dimer is calculated to be between the strong covalent and nonbonding interactions on the energy scale

New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations

The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range dependent, and distributeddelay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits

Sobre els mapes de semblança quàntica molecular

Partint de les definicions usuals de Mesures de Semblança Quàntica (MSQ), es considera la dependència d'aquestes mesures respecte de la superposició molecular. Pel cas particular en qnè els sistemes comparats siguin una molècula i un Àtom i que les mesures es calculin amb l'aproximació EASA, les MSQ esdevenen funcions de les tres coordenades de l'espai. Mantenint fixa una de les tres coordenades, es pot representar fàcilment la variació del valor de semblança en un pla determinat, i obtenir els anomenats mapes de semblança. En aquest article, es comparen els mapes de semblança obtinguts amb diferents MSQ per a sistemes senzills