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Balanced Truncation for Discrete Time Markov Jump Linear Systems

This technical note investigates the model reduction problem for mean square stable discrete time Markov jump linear systems. For this class of systems a balanced truncation algorithm is developed. The reduced order model is suboptimal, however the approximation error, which is captured by means of the stochastic L2 gain, is bounded from above by twice the sum of singular numbers associated to the

A Game-Based Method for Teaching Entrepreneurship

Entrepreneurship is often thought of as the act of commercializing an innovation. In modern open economies, entrepreneurship is one of the key aspects for economic growth. Teaching and learning entrepreneurship is therefore of importance and schools, colleges and universities can play an important role by including entrepreneurship and innovation in their curricula. The Berkeley Method of Entrepre

Nanospintronics with Molecular Magnets - Tunneling and Spin-Electric Coupling

Popular Abstract in English In this thesis we investigate the manipulation of the magnetic properties of molecular magnets by means of external electric fields. This manipulation is mediated by either the spin-electric coupling or the magnetic anisotropy of the molecular magnet. In order to understand what this means, let us first explain some basic concepts about magnetism. We will start explainiThis dissertation investigates theoretically electric control of the magnetic properties of molecular magnets. Two classes of magnetic molecules are considered. The first class consists of molecules that are spin frustrated. As a consequence of the frustration, the ground-state manifold of these molecules is characterized by states of different spin chirality, which can be coupled by an external e

Functional studies of SOX11 and T-STAR - Translation of tumor-associated genes into clinical and biological insight

Cancer is a disease that will affect most of us during a lifetime. Although the survival of cancer patients has incresed due to better treatment and earlier diagnosis, the prevalance of the disease is still increasing. This increase in the number of cancer cases diagnosed will impose a challenge to the cancer care and higher costs for socitey. Personalized medicine aims at reducing these costs whi