Acknowledgements: At this point I would like to thank Prof. Frank Lempio for his great support for this diploma thesis and the whole time of my studies at the university of Bayreuth. I am also very greatful for the great amount of time Robert Baier spent with me on talking about the content of this article and a lot more. It has really been a pleasure for me to work with him and I hope this wil...

Mg in two Allende Ca-AI rich inclusions shows large isotopic, mass-dependent fractionation which enriched the heavier isotopes. After normalization, Mg in these inclusions shows negative 6 16 Mg which appears to require the presence of nuclear effects m Mg distinct from 16 AI decay. The Mg mass fractionation is correlated with distinct but smaller fractionation effects for 0 reported by Clayton...

Introduction: Chondrules are sub-mm to mm-sized igneous inclusions that can comprise up to ~80% of the primitive meteorites called chondrites, and provide us with snapshots of the solar nebula. They are the key to understanding the early history of the Solar System and the formation of terrestrial planets. Chondrules formed in the first few million years (Myr) of the Solar System’s history [e.g...

The non-metallic inclusions are inevitable consequence of metal elaboration processes and are foreign phases always present in solid and liquid metal. The inclusions have a different shape and a size from several to several hundred micrometers (in diameter). They are randomly distributed in the matrix of the base metal and form a dispersion phase in liquid and in solid metallic phase. The non–m...

This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise-affine controller is designed for a piecewise-affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise-affine controllers for...

In this article, we investigate sufficient conditions for controllability of second-order semi-linear damped neutral functional initial value problem for the class of differential inclusions in Banach spaces using the theory of strongly continuous cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. An example is provided to illustrate the result. This work i...

Adaptive filtering algorithms are investigated when system models are subject to model structure errors and regressor signal perturbations. System models for practical applications are often approximations of high-order or nonlinear systems, introducing model structure uncertainties. Measurement and actuation errors cause signal perturbations, which in turn lead to uncertainties in regressors o...

We describe a Lohner-type algorithm for the computation of rigorous upper bounds for reachable set for control systems, solutions of ordinary differential inclusions and perturbations of ODEs.

A novel state feedback control technique to stabilise linear differential inclusions through composite quadratic Lyapunov functions is presented. By using a gradient-based control technique, the minimum effort control is composed through intersection and union operations, derived from the theory of R-functions. While conventional min and max compositions are recovered as a special case, it is s...