About the Stabilization of a Nonlinear Perturbed Difference Equation

This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order than that of the nominal difference equation. In the general case, the controller consists of two combined parts, namely, the feedback nominal controller which stabilizes the nominal (i.e., perturbation-free) difference equation plus an incremental controller which completes the stabilization in the presence of perturbed or unmodeled dynamics in the uncontrolled difference equation. A stabilization variant consists of using a single controller to stabilize both the nominal difference equation and also the perturbed one under a small-type characterization of the perturbed dynamics. The study is based on Banach fixed point principle, and it is also valid with slight modification for the stabilization of unstable oscillatory solutions.

Recognition of Membrane-Bound Fusion-Peptide/MPER Complexes by the HIV-1 Neutralizing 2F5 Antibody : Implications for Anti-2F5 Immunogenicity

13 p.

Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators

The stabilization of dynamic switched control systems is focused on and based on an operator-based formulation. It is assumed that the controlled object and the controller are described by sequences of closed operator pairs (L, C) on a Hilbert space H of the input and output spaces and it is related to the existence of the inverse of the resulting input-output operator being admissible and bounded. The technical mechanism addressed to get the results is the appropriate use of the fact that closed operators being sufficiently close to bounded operators, in terms of the gap metric, are also bounded. That philosophy is followed for the operators describing the input-output relations in switched feedback control systems so as to guarantee the closed-loop stabilization.

Design and synthesis of quasi-diastereomeric molecules with unchanging central, regenerating axial and switchable helical chirality via cleavage and formation of Ni(II)–O and Ni(II)–N coordination bonds

9 p.

Self-assembly of iron TCPP (meso-tetra(4-carboxyphenyl)porphyrin) into a chiral 2D coordination polymer

Artículo Polyhedron 2011

¿Reemplazo demográfico en el Neolítico europeo? El punto de vista de la Genética

[ES] El trabajo realiza una aproximación a la situación actual de los estudios de ADN antiguo humano en Europa, recopilando los datos de los individuos analizados hasta 2013 (n=700), a modo de síntesis interpretativa continental y regional de los territorios para los cuales se han obtenido resultados significativos (Centroeuropa, Cornisa Cantábrica, Mediterráneo occidental, Escandinavia-Báltico-Rusia y Alpes orientales). Las hipótesis se expresan en términos de continuidad o discontinuidad genética entre los grupos humanos habitantes de un territorio, centradas en la problemática de la neolitización, en una horquilla cronocultural del Paleolítico superior a la Edad del Bronce. Los resultados se resumen en (1) una preponderancia del clado mitocondrial U para muestras preneolíticas; (2) la posibilidad de una intrusión démica en una fase inicial de la neolitización centroeuropea -tipo N1a, con pérdida posterior de ese haplogrupo mitocondrial-; (3) la evidencia del proceso neolitizador como heterogéneo y con diferente impacto a escala regional; (4) una estabilización del acervo genético europeo actual como resultado de eventos postneolíticos; y (5) las posibilidades analíticas de la genética aplicada a las poblaciones antiguas como un instrumento de gran interés, observándose la necesidad de realizar más analíticas con recorrido diacrónico.